GIVEN: BD bisects ZABC DE 1 BÁ and DF 1 BC PROVE: DE = DF E В F C

Q: Given: Isosceles trapezoid АВCD Equilateral AFBC Right ΔΑED ВС 3D 12, АВ 3 5, B and ED = 16 Find: а)…

A: As ABCD is an isosceles trapezoid. Therefore, the length of AB and CD will be same. CD=5  Triangle…

Q: Given: AABC is right isosceles. X is the midpoint of AC. AB = BC ty A(0, 2a) Prove: AAXB is…

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Q: In isosceles trapezoid JKLM, JK = 7x -8, JM = 4x +7, and ML = 5x + 2. What is the length of JM? A. 5…

A: Given that: JK=7x-8,     JM=4x+7   and     ML=5x+2 An isosceles trapezoid JKLM, In isosceles…

Q: GIVEN: AB||CD & E BC||DE & C is the midpoint of AE PROVE: ДАВС3 ДСDE

A: According to bartleby guidelines we have to answer only first question please upload the question…

Q: Given: G is the centroid of isosceles triangle AEC, where angle A and angle C are equal and AB = 6…

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Q: . Given: ZABC is supplementary to ZCBD BÉ bisects ZABC BÉ bisects ZCBD Prove: ZEBF is a right angle…

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Q: ABCD is an isosceles trapezoid with median MN. If DC = 3x, AB = 2x², and EF = 7, then: %3D ME = %3D…

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Q: Given : AB I DC, AO an BC intersect at pt E Prove: AE -CE = DE · BE %3D

A: In the figure AB∥DCSo by alternate angle test,∠DCB=∠CBAAnd∠CDA=∠DABAs ∠CED and ∠AEB are opposite…

Q: Given: AP and BP are tangent A to ©Q at A and B C is the midpoint of AB PĆ bisects ZAPB Prove: В

A: given: AP¯ and BP¯ are tangents to the circle having centre Q at A and B. C is the mid point of AB⏜.…

Q: 1. Given OQ, AC = x2-6, BC = x, CQ = 5, Find the area of OQ. %3D %3D B

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Q: NOPQ is a rhombus. Given ON = 110 and OQ = 176. Fi each measure asked. IR 110 3 649 4. m41 = 5. m42…

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Q: In APOR, LP = 101°, PQ = 13.4 cm and %3D QR = 20.8 cm. Find %3D 20.8cm 101° 13.4 cm (ii) ZQ. (i) ZR,…

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Q: Given: CA = CB, AD BD Prove: C and D are on the perpendicular bisector of AB. C A

A: Perpendicular bisector is a line segment that divides a given line segment in to  two equal parts by…

Q: The diagonals of rectangle QRST intersect at P. Given that m/PTS = 34° and QS = 10 , find RP. %3D…

A: We are given with diagonals in a rectangle and measure of the side and the angle of the diagonal and…

Q: Given that DF ICE,which of the following allows you to prave that ACEF - A CFD - A EFD? CF O sss-…

A: our objective is to to find the condition

Q: CD is the perpendicular bisector of both XY and ST, and CY = 16. Find each length. 18. CT 19. TY 12…

A: Please consider the handwritten solution. It will definitely help you...

Q: Two equal chords AB and CD meet at an external point E. Prove that AE= CE and BE = DE. 6. E %3D VD…

A: Given : Two equal chords AB and CD intersecting at a point E. To prove : BE = DE and AE = CE…

Q: If L is the incenter of A EFG, JL = 16, EH = 22, and LG = 34, find each measure. %3D %3D %3D F H E K

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Q: Given: BD 1 AC, BD bisects ZABC Prove: AABD == ACBD A D

A: Definition used -          ASA congruence rule -  If two angles and included side of one…

Q: Given: AB || DC mZA mZB = 56° CE || DA and CF bisects ZDCB A E F B Find: mZFCE

A: Consider the figure: such that: AB||DCm∠A=m∠B=56°CE||DA     and CF→ bisects ∠DCB To find: m∠FCE.…

Q: Given that EF is the midsegment of trapezoid АВCD, what is AB? 9.2 cm D. 12.6 cm A AB = 6.7 cm %3D…

A: For the given trapezoid the formula is stated as follows:

Q: Given: BR and DM Z1E2 23E24 Prove: ABCD is a parallelogram 1 M A

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Q: The diagonals of rectangle QRST intersect at P. Given that m/PTS = 34° and QS = 10 , find QP. 34°

A: Note: "Since you have asked multiple question, we will solve the first question for you. If you want…

Q: GIVEN: X1 = X2, HK bisects RHN, HR = HN. PROVE: HK I RN.

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Q: 5. AB is a diameter of circle O and m AC=m DB D B. Given that ZAOC = (2x) ° and ZBOD = (x+24) °,…

A: We have, AB is diameter of the circle O and mAC⏜ = mDB⏜ ∠AOC = (2x)° and ∠BOD = x+24° To evaluate :…

Q: b. Given: AE bisects DC ZC = ZD B Prove: AABD EAEBC PE D.

A: we prove it in 2nd part by using ASA identity.

Q: Given an isosceles trapezoid ABCD whose diagonals are AC = 5x + 13 and BD = 11x-5, %3D determine the…

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Q: Given EP = FP and GQ = FQ, what is the perimeter of AEFG? %3D %3D 2x Зх- 1 x+ 2y 4y+2/ 4y+4 G.

A: Here we have given a triangle. We have EP = FP And  GQ = FQ  From these we can write  2x = 4y + 2…

Q: Given: ZR and W are right angles, T bisects SV Prove: V

A: Box 1 Given Box 2 Angle R is congurent to Angle W Box 3 ST= TV

Q: The diagonals of rectangle QRST intersect at P . Given that mZPTS = 34° and QS = 10 , find RP. %3D R…

A: Diagonals of a rectangle are congruent and bisect each other.

Q: BD bisects LABC and D lies on AC. If AB = 6, %3D BC = 14, and AC = 14, find AD. (A) 6 (В) 8.4 (С)…

A: Consider the diagram given below as per the given information in the triangle, here the objective…

Q: ABCD is a trapezium such that DC = 3AB. If L and M are the midpoints of AD and BC respectively, Show…

A: Given data: The bigger length of the trapezium is DC=3AB. The below figure represent the trapezium…

Q: Under a change of variables æ = u², y= v³ , the infinitesimal element of area dædy becomes 3u?u°dudv…

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Q: M H Given: Isosceles AFJH with FJ = FH 2у + 3 5у 2y The perimeter of AFMN FM NH JH %3D Find:

A: Consider the given figure: Here, FJ≅FH……1 and, FM=2y+3……2NH=5y-9……3JH=2y……4

Q: If QT is the perpendicular bisector of PR, find each measure. 5y - 31 y =. PQ = %3D 6x-2y 2y +5 QR =…

A: In the following figureGiven PS = SRand QT is the perpendicular bisector of PR. If QT is…

Q: Find the area of rhombus MNPQ given that QN : 8 ft and PM 6 ft. P. N R

A: Consider the rhombus “MNPQ” Where QN = 8 ft and PM = 6 ft

Q: 10) Given: Rectangle ABCD with EF perpendicular to BD at G. Prove: AD EB = EG · BD %3D A B FL

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Q: 2. Find the area of the rhombus. dl = (6x + 4) cm d2 = (10x + 10) cm a. (200x³) cm² b. (30x? +50x +…

A: There is given a rhombus which diagonals are (6x+4) cm and (10x+10). We have to find the area of…

Q: 8. ABCD is a trapezium such that DC 3AB. If L and M are the midpoints of AD and BC respectively,…

A: Take length of AB as x and the DC becomes 3x. Also draw dotted lines from A and B to create four…

Q: A В 丰 E D 丰 C. Note: DB and AC are segments.

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Q: Given EP = FP and GQ = FQ, what is the perimeter of AEFG? F 2x Зх — 1 x + 2y 4y + 2) 4y + 4 E…

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Q: 4. JK, KL, and LJ are all tangent to cirele O JA = 13, AL = 12, and CK =9. Find the perimeter of…

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Q: b/2 c l A 12 l B b/₂ b Equilateral s of side b at C.& D. b AC = l AB = 2l BD = l

A: Given: there is two triangle which is connected to a thread whose length is 4l the these triangle…

Q: In circle T own, m/RCE = 57° and mRE = 141°. Determine mBL. %3D %3D •T R O 27° 0.70.5° O 57° O 84°.…

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Q: 4. JK, KL, and LJ are all tangent to cirele O1 JA = 13, AL = 12, and CK = 9. Find the perimeter of…

A: Triangles

Q: %3D If PT = 10 cm, WQ=5 cm, and RS = 4 cm, find perimeter of APOR.

A: Given:△PQR is circumscribed about circle C. PT=10 cm, WQ=5 cm, RS=4 cm. The perimeter of a…

Q: Given: AE = CB AB = CD B is the midpoint of ED Prove: AAEB =ACBD Sy E

A: To Determine:  prove that ∆AEB≅∆CBD Given: we have two figures in which we have…

Q: Given: G is the centroid of isosceles triangle AEC, AB = 6 units, and AF = 5 units. potrifof AC A B…

A: Given: AEC is an isosceles triangle with  AB=6 units AF=5 units. G is the centroid of the triangle.…

Q: 12 Given: AB = x + 3, A %3D AC = 3x + 2, %3D BC = 2x + 3; ВС Perimeter of AABC = 20. Show that AABC…

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Q: An new piece of support material needs to be instalied in the triangular region on the house shown…

A: Given : CD = 60 inches <FCE = 32  EF is the perpendicular bisector of CD.   To find FD