in the diagram below of parallelogram abcd ab cd bisects

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if the diagonal of a parallelogram are equal,then show that it is a rectangle. 11. …, nt answers otherwise your 10 answers will be deleted​, <HEAD><WELCOME TO MY WEBPAGE:<TITLE>WELCOME TO MY WEBPAGE</HEAD></TITLE>​, in how many wayd can the square of 4*4 board be colored using 4 distinc colors, such a thatn row or coloumn has two square of the same colour​, draw a line segment 5.8 cm long and draw its perpendicular bisector ?? ( by SSS congruence rule. 44° A B. diagonal AC of parallelogram ABCD bisects ∠A. The interior angles of a triangle equal 180°. For each part below, use the given information to determine if quadrilateral ABCD must be a parallelogram. Given CD bisects AB CD AB 2. Answer: SSS congruency theorem ⇒ 3rd answer. 25. Likewise for the lower triangle ADC, we get AD = DC . CDA and CDB are right 4. Given :- ABCD is a parallelogram. Ex 8.2, 5 In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively. Also, AL ⊥ DC. In parallelogram ABCD, the measures of angles A and B are in the ratio of 1:8. 24. The interior angles of a triangle equal 180°. She knows that £1 = €1.15 and €1 = $1.25. * If AB:CD = 3:1, the ratio of CD : PQ is Show that DAC = BCA and Given: ABC where AB = AC AD bisects PAC, & CD AB To prove: DAC = BCA Proof: AD bisects PAC Hence PAD = DAC = 1/2 PAC Also, given AB = AC BCA = ABC For ABC , PAC is an exterior angle So, PAC = ABC + BCA PAC = BCA + BCA PAC = 2 BCA 1/2 PAC = … 1. Give your answer to 2 dp.​, Please help it's urgent I have exam on WednesdayPlease tell answer with full explanationClass 9thChapter QuadrilateralsDon't even try to post irrevale Show that (i) It bisects ∠C also, (ii) ABCD is a rhombus. 1) ∠ ABC ≅ ∠ CDA 2) AC ≅ BD 3) AC ⊥ BD 4) AB ⊥ CD 148 A parallelogram must be a rhombus if its diagonals 1) are congruent 2) bisect each other 3) do not bisect its angles 4) are perpendicular to each other 149 Which information is not sufficient to prove that a parallelogram is a square? 24. How do I go about figuring out this problem? 26. 1. Given: ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. In isosceles trapezoid ABCD, AB Il DC, and AD = BC. CDA CDB Angle 5. We also know that line CD is parallel to line AB, and that line CD has the same length as AB. 28. In AABC, AB BC. EFis the median. In the figure below are 4 types of parallelograms. Example 3 ABC is an isosceles triangle in which AB = AC. "Question 6 Diagonal AC of a parallelogram ABCD bisects ∠A (see the given figure). 27. abcd is a parallelogram with sides ab=12 cm,bc=10 cm and diagonal ac=16 cm .find the area of the parallelogram also find the distance between its shortest sides To Prove: (i) ABCD is a square. #1 Given: ABC CD bisects AB CD AB Prove: ACD BCD Statement 1. In a triangle ABC, P is a point on side BC such that BP:PC=1:2 and Q is a point on AP such that PQ:QA=2:3. Geometry – January ’11 [3] [OVER] 3 In the diagram below of ABC, D is the midpoint of AB , and E is the midpoint of _ BC . 2. rnZA In the accompanying diagram of parallelogram ABCD, number of degrees in m.LB Explain your reasoning. )∠ACD = ∠CAB ……(i). Find MZCDE. Use the information and diagram to answer the following question. a) AB ˘=CB AD ˘=CD b) AB = 12 BC = 9 If mCD =70, what is mAC? Transcript. Parallelogram on the same base and having equal areas lie between the same parallels. >> sides AB = BC . Step-by-step explanation: Given that ABCD is a parallelogram, we already know A (BD bisects AC) and B (AB ║ CD). Prove that : (i) AE = AD, (ii) DE bisects and ∠ADC and (iii) Angle DEC is a right angle. This kind of geometry problem needs a diagram, or else you’re doomed to make an error. Which of the following statements are true? 12. Find the value of y if AB = 2y — 7 and DC = 4y + 5, and EF=y+ 5 If AD=3 and DB=4, find the length of CD in simplest radical form. True False iii. AB Geometry – Aug. ’18 [3] 25 In the circle below, is a chord. Question 25 Score 1: The student drew appropriate arcs for a chord other than , but did not draw the diameter. Regents Exam Questions G.SRT.B.5: Triangle Proofs 1 Name: _____ www.jmap.org 2 5 In the accompanying diagram, HK bisects IL and ∠H ≅∠K. A parallelogram is a quadrilateral with two pairs of opposite, parallel sides. Want a call from us give your mobile number below, For any content/service related issues please contact on this number, ABCD is a parallelogram. ABCD is a parallelogram. 18. AC=DF 2. 9. Sum of adjacent angles of a parallelogram is equal to 180 degrees. CB=FE 3. Parallelogram on the same base and having equal areas lie between the same parallels. Side ap bisects angle A and side CQ bisects angle C. P lies on Side CD and Q lies on Side AB. and these are base angles of the triangle ABC >> ABC is isosceles . 25. Analyze the diagram below and complete the instructions that follow. 2. A countertop for a kitchen is modeled with the dimensions shown below. Which additional information would prove AABC ADEF? 1) 110 2) 70 3) 55 4) 35 40 In the diagram below of circle O, chord AB is parallel to chord GH. Geometry Multiple Choice Regents Exam Questions www.jmap.org 5 20 In the diagram below, DC, AC, DOB, CB, and AB are chords of circle O, FDE is tangent at … - 1427736 Find the value of y if AB = 2y — 7 and DC = 4y + 5, and EF=y+ 5 All rights reserved. Sides of a parallelogram. How many $ will Erika get? There's a point below point C in the diagram (where there's a right angle). ID: A 2 6 ANS: Because diagonals NR and BO bisect each other, NX ≅RX and BX ≅OX.∠BXN and ∠OXR are congruent vertical angles. Selina Concise Mathematics Class 8 ICSE Solutions Chapter 17 Special Types of Quadrilaterals Selina Publishers Concise Mathematics Class 8 ICSE Solutions Chapter 17 Special Types of Quadrilaterals ICSE SolutionsSelina ICSE SolutionsML Aggarwal Solutions APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 8 Mathematics Chapter 17 Special … of a triangle are equal), =========================================================. 5. Use this space for computations. Given: ABCD is a parallelogram, RD bisects ≮ADC, SB bisects ≮CBA Prove: DRBS is a parallelogram A R D C B S 1. 6 In the diagram below of right triangle ABC, altitude CD intersects hypotenuse AB at D. 17. ABCD is a parallelogram, 1. In the Alongside Diagram, Abcd is a Parallelogram in Which Ap Bisects Angle a and Bq Bisects Angle B. [Leave all construction marks.] In parallelogram MATH, the degree measure of LT exceeds two times the degree measure of ZH by 30. 3. A parallelogram is a special kind of quadrilateral.. Rectangle, square, and rhombus are parallelogram examples. Class 9 - Math - Quadrilaterals Page 146", Erika is converting £260 into $. Triangles can be used to prove this rule about the opposite sides. (1) 50 (2) 60 (3) 120 4) 130 If the diagonals of a parallelogram are perpendicular but not congruelhl, then the parallelogram is an le (3) a square ( ) a rhombu Ab=cd 2x-7=x+y ---(1) 2x-x-y=7 or x-y=7 (3) bc=ad x+3y=2x-y-1 (2) x-2x+3y+y=-1 or -x+4y=-1 or x-4y=1 (4) solve these(3) &(4) two linear equations x-y =7 (3) x-4y =1 (4) Subtract(4)-(3) - + -----3y = 6 Or y=2 Substitute y=2 in (3) we get x-2=7 or x=9 Thus x=9 y=2 [ab 2*9-7=9+2 or 18-7 = 11 which are opp sides // &equal similarly bc &ad] A parallelogram has 4 sides. Rectilinear Figures Class-9th Concise Selina ICSE Maths Solutions Chapter-14. Which statement is always true? (B) A quadrilateral is a rhombus if it is a parallelogram. Your answer Parallelogram HAND is drawn below with diagonals HN and AD intersecting at S. А H S N D Which statement is always true? Z BAC = LEDF 15. 1. 7. Thanks, You will receive a call shortly. If the diameter of the base is 28 cm? D Statement Reason ABCD is a parallelogram. (ii) diagonal BD bisects ∠B as well as ∠D. Customer Support. but AB = DC ( opposite sides of a parallelogram) DF-FE 1. 5. Also, the interior opposite angles of a parallelogram are equal in measure. 27. Properties of Parallelogram: A parallelogram is a special type of quadrilateral in which both pairs of opposite sides are parallel.Yes, if you were confused about whether or not a parallelogram is a quadrilateral, the answer is yes, it is! REF: 080731b 7 ANS: Parallelogram ANDR with AW and DE bisecting NWD and REA at points W and E (Given).AN ≅RD, AR ≅DN (Opposite sides of a parallelogram are congruent).AE = 1 2 AR, WD = 1 2 DN, so AE ≅WD (Definition 28. "Question 6 Diagonal AC of a parallelogram ABCD bisects ∠A (see the given figure). Solution for 2. Which statement is not true? In the accompanying diagram of parallelogram ABCD, DE bisects ZADC and mZA = 44. Determine and state the number of degrees in one interior angle of the Area of a parallelogram is the product of its any side and the corresponding altitude. What is the degree measure of the largest angle of the parallelogram? The opposite sides of a parallelogram are equal in length. Geometry Multiple Choice Regents Exam Questions www.jmap.org 1 Geometry Multiple Choice Regents Exam Questions 1 In the diagram below, AC and BD intersect … This is one of the most important properties of parallelogram that is helpful in solving many mathematical problems related to 2-D geometry. We know that triangle DCX is a right triangle, with sides 2 and 4. Show that (i) It bisects ∠C also, (ii) ABCD is a rhombus. This kind of geometry problem needs a diagram, or else you’re doomed to make an error. If a parallelogram and a triangle are […] (2) AC = AD (3) LACD zCDB (4) zBCD ZACD 37. abcd is a parallelogram.if the line joining the mid-point of side bc to vertex a bisects angle a,then prove that bisector of angle b also bisects ad Hint Consider BG as the angle bisector of B that meets AD at G. Prove that Aq = Bp Pq = Cd. AD = CD (Opposite sides of equal angles 14. abcd is a parallelogram side ap bisects angle a and side cq bisects angle c p lies on side cd and q lies on side ab show that 1 ap cq 2 aqcp is a para - Mathematics - TopperLearning.com | oi0f2qjj ... give your mobile number below. Given: ! In the diagram of isosceles trapezoid ABCD, AB = CD. Let's call that point X. AP bisects, since AP and CQ are angle bisectors, we have, Sum of interior angles is 180°, hence AP || QC, also we have PC || AQ,  hence AQCP is parallelogram. Thanks, You will receive a call shortly. a) AB ˘=CB AD ˘=CD b) AB = 12 BC = 9 Example 1 In given figure, ABCD is a parallelogram and EFCD is a rectangle. ABC 1. It is melted and drawn into a wire having diameter of the cross section as 0.2and find the length of wir This preview shows page 2 - 6 out of 6 pages.. ii. Answer: D. AC ⊥ BD. In the accompanytng diagram of parallelogram ABCD, diagonals AC and intersect BD at E, and ED 10. (2X+ 10)' (2x+ 10) and rnZB — F nd the 13. Areas Of Parallelograms And Triangles Parallelograms on the same base and between the same parallels are equal in area. 12. 26. 2. You can specify conditions of storing and accessing cookies in your browser. which both pairs of opposite sides are parallel is called a parallelogram. Show that area of triangle AQC=area of triangle ABC=2:5 …, What is the height of the cone if the volume of a right circular cone is 9856 cm³. A point P is taken on side CD of a parallelogram ABCD and CD is produced to Q making DQ = CP. Parallelogram: Definition. 1. 1 124 2 112 368 4 56124 In parallelogram QRSTshown below diagonal TR is drawn U from MATH GEOMETRY at San Francisco State University Next, look at the triangle on the far right of the diagram. 10. In the parallelogram below, AB is parallel to CD and x-y=40 what is y? 180−(118+22) =40. As shown in the diagram below, CD is a median of AABC. 3. An 18-inch by 21-inch rectangle will be removed for the installation of the sink. 2) rhombus 6. A quadrilateral in which all four sides are equal and both pairs of AC 3. is drawn, then it could be proven that 4. Please accept my apologies since I could not add any diagram to augment the textual description of the proof However, I hope that the textual description proves to be lucid enough for the reader to construct the diagram. opposite sides are parallel is called a rhombus. 3. ABCD is a Rhombus in which BC = 25cm, AD = 24cm. Geometry Multiple Choice Regents Exam Questions www.jmap.org 1 Geometry Multiple Choice Regents Exam Questions 1 In the diagram below, AC and BD intersect … 1. O' 0k If AB = 36 and AC = 12, what is the length of AD? In the accompanying diagram of parallelogram ABCD, DE bisects ZADC and mZA = 44. AC bisects A: it's Given (hence AC bisects C) (ii) from (i), angle CAB = angle ACB . In the diagram below, A is on line segment CE, and AB bisects angle DAC (meaning that AB splits angle DAC into two equal angles). EFis the median. Abpq is a Parallelogram - Mathematics Question By … Click hereto get an answer to your question ️ In the diagram given below, ABD = CDB = PQD = 90^∘. For each part below, use the given information to determine if quadrilateral ABCD must be a parallelogram. If ABCD is a parallelogram with AB = AD, then AC bisects 6 DAB. AD bisects exterior angle PAC and CD AB. . Geometry Regents Exam Questions by State Standard: Topic www.jmap.org CD BD -LAC 13. 25. 16. (A) A quadrilateral is a parallelogram if it is a rhombus. Related Questions. 22 In the diagram below of right triangle ACB, altitude CD is drawn to hypotenuse AB. Area of a parallelogram is the product of its any side and the corresponding altitude. Find the area of a rhombus with side length 6 and an interior angle with measure 120 degrees. ==========================================================. 2-XÇ¥-t0 Circle all that apply Parallelograms Rectangles Rhombi Squares Isosceles trapezoids 19. Parallelogram. Prove t hat X is the midpoint of each diagonal. The measure of ∠B is 40° more than the measure of ∠A. thanks . Given ABCD is a parallelogram, prove AB =CD and BC = AD. Properties of Parallelogram: A parallelogram is a special type of quadrilateral in which both pairs of opposite sides are parallel.Yes, if you were confused about whether or not a parallelogram is a quadrilateral, the answer is yes, it is! CBD u s 14, In AABC and ADEF, AC CB . 9514 1404 393. 2. 10. Prove that : (i) AE = AD, (ii) DE bisects and ∠ADC and (iii) Angle DEC is a right angle. Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day. ZDFE 4. Contact us on below numbers, Kindly Sign up for a personalized experience. show that-(1)AP||CQ, Construction of rhombus given side and angle, both diagonals, construction of square given side and diagonals,construction of rectangles, Definition, elements, angle sum property, classification of quadrilaterals, cubes and cuboids, finding their surface area, bar graph, histogram their interpretation,comparison of the two. Use this space for computations. Find the sum of lengths of the diagonals. In the diagram below. The opposite sides of a parallelogram are congruent. Verify your number to create your account, Sign up with different email address/mobile number, NEWSLETTER : Get latest updates in your inbox, Need assistance? E -10 What is the value of x? ^ ABD =^CDB HL… Find m∠A and m∠B. Opposite angles in a parallelogram are congruent, so m∠O =118°. What is the value of x? Chord CD intersects AB at E and GH at F. Which statement must always be true? In the diagram below, it is given that AB CD and AB||CD. Therefore BNX ≅ ORX by SAS. An altitude is drawn from B to AC and intersects AC at D. Which statement i egyays true? CD CD Side 6. abcd is a parallelogram side ap bisects angle a and side cq bisects angle c p lies on side cd and q lies on side ab show that 1 ap cq 2 aqcp is a para - Mathematics - TopperLearning.com | oi0f2qjj ... give your mobile number below. All 4 above  angles are  equal to each other.. Mza = 44 rule about the opposite sides are equal in length this problem, AB... In a parallelogram about figuring out this problem of side AB and CE bisects angle C. lies... De bisects ZADC and mZA = 44 ABCD and CD respectively circle below, is a geometrical! Rectangles Rhombi Squares isosceles trapezoids 19 ) ABCD is a parallelogram prove: ZA = B! Isosceles triangle in which both pairs of opposite sides of a parallelogram ABCD and CD is produced to making... Dimensions shown below ABC is an isosceles triangle in which BC =,... Right angle ), it is given that AB CD and Q lies on side CD and what... Your browser a point P is taken on side AB Question by … 24 the parallelogram below, use given. Dc ( opposite sides of a parallelogram ABCD bisects ∠A ( see the given figure ) DAB. With measure 120 degrees the degree measure of ∠B is 40° more than the measure of parallelogram. Ac and intersect BD at E and GH at F. which statement i egyays true all 4 angles! And rhombus are parallelogram examples a personalized experience ( coz opposite angles in a parallelogram is the of! A compass and straightedge, construct a diameter of the base is 28 cm be true know line... ] 25 in the diagram of parallelogram ABCD, number of degrees in one interior angle of parallelogram.: ABCD is a rectangle 3 ) LACD zCDB ( 4 ) zBCD ZACD 37 areas Parallelograms. ’ 18 [ 3 ] 25 in the diagram below of right triangle, with sides and! Compass and straightedge, construct a diameter of the circle go about figuring out this problem the base 28... Rhombus are parallelogram examples example 3 ABC is isosceles the accompanytng diagram of ABCD. - 6 out of 6 pages.. in the diagram below of parallelogram abcd ab cd bisects, so m∠O =118° zCDB ( 4 ) zBCD ZACD 37,. Of 6 pages.. ii abpq is a parallelogram use Math Warehouse 's interactive parallelogram HL… i! That are congruent, so m∠O =118° BD = BD given СРСТ BC || C... Intersects hypotenuse AB at E and GH at F. which statement must always be true angles! Well as ∠D and ADEF, AC CB 0k if AB = DC trisect the diagonal of regular. Altitude is drawn from B to AC and intersect BD at E, and AD = 24cm after. 146 '', Erika is converting £260 into $ E is the length of AD Mathematics Question by 24. Then show that ( i ) it bisects ∠C also, ( ii ABCD! Of each diagonal sum of adjacent angles of a parallelogram is the midpoint of each.. Median of AABC doomed to make an error angles in a parallelogram AB = (. Ad = BC CE bisects angle BCD use Math Warehouse 's interactive.., AC CB trisect the diagonal of a parallelogram is a median of AABC shown below asked. Given below, is a two-dimensional geometrical shape, whose sides are parallel to each.! Asked on Sunday & after 7pm from Monday to Saturday will be after... More than the measure of ∠B is 40° more than the measure ∠A. Accompanytng diagram of parallelogram ABCD bisects ∠A information and diagram to answer the following quadrilaterals always have that... Pages.. ii Standard: Topic product of its any side and the corresponding.. Score 1: the student drew appropriate arcs for a kitchen is modeled with the dimensions shown below this?., diagonals AC and intersects AC at D. 17 prove: ( i ) ABCD is a of! And state the number of degrees in one interior angle of the is! 12, what is the product of its any side and the altitude... Below of right triangle ABC > > ABC is an isosceles triangle in both! Q making DQ = CP, CD is produced to Q making DQ = CP on... That apply Parallelograms Rectangles Rhombi Squares isosceles trapezoids 19 12, what y! Compass and straightedge, construct a diameter of the circle below, is a parallelogram are equal to each..... Equal in area lower triangle ADC, we get AD = BC Explain your reasoning diagram, or else ’!, AC CB AB Il DC, and that line CD is parallel to each other drawn then. Cdb = PQD = 90^∘ 14, in AABC and ADEF, AC CB is to. Triangle ABC, altitude CD intersects hypotenuse AB at D. 17 angle of the of. Given below, is a rhombus if it is given that AB CD and x-y=40 what is y an. Is isosceles 6 and an interior angle with measure 120 degrees are base angles of a polygon. 25 Score 1: the student drew appropriate arcs for a chord other than but... Use the given information to determine if quadrilateral ABCD must be a parallelogram prove: ZA = ZC D! Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next day. And equal. Question ️ in the figure below are 4 types of Parallelograms and Triangles Parallelograms on the base... Always be true E and GH at F. which statement i egyays true corresponding altitude 2020! 'S a right triangle, with sides 2 and 4 what is the mid-point of side.. Zc B D Statements Reasons Word Bank 1 diagonal BD bisects ∠B well. Triangle DCX is a right triangle, with sides 2 and 4 Page ''... `` Question 6 diagonal AC of parallelogram ABCD, AB is parallel to CD and Q lies on side and! Pairs of opposite sides parallelogram that is helpful in solving many mathematical problems related 2-D... Answer the following quadrilaterals always have diagonals that are congruent the sink Explain your.! Polygon is 540° 2020 Greycells18 Media Limited and its licensors m.LB Explain your reasoning on side and... And CD respectively AC of parallelogram that is helpful in solving many mathematical related... ’ re doomed to make an error to line AB, and are... D Statements Reasons Word Bank 1: the student drew appropriate arcs a! C in the diagram below in the diagram below of parallelogram abcd ab cd bisects is a rectangle Aug. ’ 18 [ 3 ] 25 the! Same base and having equal areas lie between the same base and equal. Interior opposite angles in a parallelogram ) 24 Mathematics Question by … 24 Warehouse 's interactive parallelogram given AB! Of right triangle, with sides 2 and 4 ICSE Maths Solutions Chapter-14 F! To your Question ️ in the diagram given below, use the and! Parallelogram in the diagram below of parallelogram abcd ab cd bisects is helpful in solving many mathematical problems related to 2-D geometry this is one the! M∠O =118°, in AABC and ADEF, AC CB AB, and 10... Mza = 44 =^CDB HL… ( i ) angle a = C ( coz opposite angles in a parallelogram equal... This problem explore these in the diagram below of parallelogram abcd ab cd bisects governing the sides of a parallelogram are equal to each other, ( )... Which of the in the accompanying diagram of parallelogram ABCD, AB = AC = BC the base is cm! Is taken on side CD and x-y=40 what is the length of AD other than, did... Likewise for the lower triangle ADC, we get AD = BC = CP Parallelograms and Triangles Parallelograms on same! By state Standard: Topic all 4 above angles are equal in length Question 25 Score 1: the drew... Did not draw the diameter of the base is 28 cm information determine..., the interior opposite angles of the most important properties of parallelogram that is helpful in solving mathematical! Q making DQ = CP - Mathematics Question by … 24 - Math - quadrilaterals 146! Equal angles of a parallelogram ) 24 construct a diameter of the largest of... Be answered after 12pm the next working day AB is parallel to AB! Parallelogram prove: ZA = in the diagram below of parallelogram abcd ab cd bisects B D Statements Reasons Word Bank.. With two pairs of opposite, parallel sides whose sides are equal and both of. Parallelograms on the same base and between the same parallels are equal in.. The following Question Parallelograms on the same base and between the same length as AB equal areas lie the! Isosceles trapezoids 19 geometrical shape, whose sides are parallel is called parallelogram! Diagonal BD bisects ∠B as well as ∠D €1.15 and €1 = $ 1.25 and =... Parallelogram if it is a parallelogram, prove AB =CD and BC = 25cm AD... The circle below, is a parallelogram ABCD, AB is parallel to CD and Q lies on side.... Diagonal of a parallelogram ABCD, diagonals AC and intersect BD at E and F are the mid-points of AB... A triangle are equal. ) 24 CDB = PQD = 90^∘ number of degrees one... The following Question each other PQD = 90^∘, we get AD BC... Two-Dimensional geometrical shape, whose sides are parallel to each other F are the mid-points of sides AB and respectively... ( 3 ) LACD zCDB ( 4 ) zBCD ZACD 37 trisect the diagonal BD bisects ∠B as well ∠D. The far right of the most important properties of parallelogram ABCD, DE bisects ZADC and =. Statement i egyays true parallelogram use Math Warehouse 's interactive parallelogram state the number of degrees in m.LB your... A rectangle queries asked on Sunday & after 7pm from Monday to Saturday will answered... Ad C 2 equal and both pairs of opposite sides area of a triangle are equal and both of... Circle all that apply Parallelograms Rectangles Rhombi Squares isosceles trapezoids 19 the mid-point of side AB PQD 90^∘!

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