given: ∠ abc, rs is the perpendicular bisector of ab, rt is the perpendicular bisector of bc prove: ar ≅ rc

Q: In the adjacent figure, ABC is a right triangle at A, such that: AB = (V17 – 1) and AC = 2V5 D (V17…

A: This question contains 4 subparts. So, according to the guidelines, the solutions of three subparts…

Q: Use the dlagram to find lengths. BP Is the perpendicular blsector of AC.CQ is the perpendicular…

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Q: Given: DE AB, EC BC, 4B <E Prove: C is on the perpendicular bisector of AD Statements Reasons

A: Based on the Sides equality in the Hexagonal polygon, DE = AB and BC = CE Here angle according to…

Q: 6. The median to the base of an isosceles triangle is the perpendicular bisector of the base.…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: What additional information is needed in order to prove that the triangles are congruent by the ASA…

A: The Angle – Angle – Side rule (AAS) states that two triangles are congruent if their corresponding…

Q: Based on the diagram shown, which of the following statements is true? F 17 15 38 14 26 O AC is…

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Q: Use the given information to complete the proof of the following theorem. The angles opposite the…

A: Given problem:-

Q: Given: In trapezoid ABCD, AB = CD and ZBAD = LCDA; insert diagonals AC and BD Prove: AAMD is…

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Q: 4. Given AM CM and BM DM Prove ABCD is a parallelogram. A B (Prove each opposite sides are congruent…

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Q: In the diagram below, AB = AD and BC = CD. Use the Perpendie Bisector Theorem to prove that AC 1 BD.…

A: Given AB is congruent to AD Also BC is congruent to CD First we check the triangles ADC  and ABC…

Q: The diagonals of parallelogram JKLM intersect at Z. Which of the follwoing statements is true? Your…

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Q: 2. Use a paragraph, flow chart, or two-column proof to prove the angle congruency. Given: 2CXY =…

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Q: 9. Given: E is the midpoint of AB and CD Prove: Δ4ΕC ΔΒED

A: In the given figure - E is the mid point of AB and CD. Then,AE = BECE = DE

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: 7. Given that BOC is a diameter and that ADC = 90°, prove that AC bisects BCD. %3D -E 10.4…

A: Join A and O. Note that, OA is perpendicular to DE

Q: In the convex quadrilaterial ABCD the diagonals are perpendicular on one another, and they are equal…

A: A convex quadilateral ABCD. Diagonals AC and BD are perpendicular to each other and equal in length.…

Q: Match the correct reason to the statements given in the proof below. R B Given: HS = SB, RS = SO, HR…

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Q: 4. Prove the following. Given: Parallelogram ABCD; Z BAD = L CBD Prove: AABD is isosceles A…

A: Given □ABCD is parallelogram,Given ∠BAD=∠CBD                            (1)Aim : △ABD is isosceles…

Q: D is the mid point of the side ВС of ДАВС;B ВЕ is perpendicular from В to the external bisector of…

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Q: What information is needed to prove that MN_ is a perpendicular bisector to AB_?

A: Using perpendicular bisector Thereom,

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: 7. GIVEN: TS = VS; RS bisects ZTSV a. Mark congruent parts. b. Are the two triangles congruent? R S…

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Q: Given: ZV ZY, WZ is the perpendicular bisector of vy. Can you use the ASA Postulate or the AAS…

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Q: Which of the following best describes the construction? B

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Q: The following information is given about a trapezoid: A trapezoid is isosceles if its non-parallel…

A: Since a trapezoid is isosceles, if its non-parallel sides are congurent.

Q: Given that AD is the perpendicular bisector of BC, AB = 7.4, AC = 7.4, and BD = 3.2, identify BC. В…

A: Given that AB=7.4 AC=7.4 BD=3.2 and BC=? Since AD is perpendicular bisector it bisects the BC at 90…

Q: Based on the image below, determine the length of BC and the theorem that supports it: * B 6.4 2.3 O…

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Q: Given: PR bisects ZORS, ZPSR = ZPQR Prove: APSR APQR

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Q: ABCD is a plane quadrilateral and E is any point on AD. EF is drawn parallel to DB to meet AB in F,…

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Q: Given: S is equidistant from E and D; V is equidistant from E and D. Prove: ŠV is the perpendicular…

A: Given figure:                                   Given:                      SE= SD [since both the…

Q: Consider AABC and AACD in the diagram below. A B C D Given: AC is perpendicular bisector to BD; AB =…

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Q: Given: BD I AC, BD bisects AC Prove: AABD E ACBD A Statements Reasons 1. BD 1 AC, BD bisects AC 1.…

A: The SAS congruence rule states that if two sides and the angle included between the sides of a…

Q: Jasmine and Will are evaluating the congruent figures below. Jasmine says that ACAB = AZYX and Will…

A: Given:

Q: In the accompanying figure, ABCD is a trapezoid in which AD|BC and AD> BC. Prove that if AB=CD, then…

A: To prove the given angle

Q: ZABC is a right angle; BD bisects ZABC mz1 = 45° Given: Prove: A

A: Given: ∠ABC is a right angle and BD→ bisects ∠ABC.

Q: B C. D In the above diagram: AD is a perpendicular bisector of BC Prove: ABD ADC (show your proof on…

A: From give information you can prove it by applying SAS congruent...as I have done in solution...go…

Q: GIVEN: AABC is scalene, BD bisects ABC. 12 PROVE: BD is not 1 AC. 3 4

A: Explained below...

Q: 3. Given: ZB and ZD are right angles. E AE bisects BD Prove: AABC = AEDC B А

A: To prove that ∆ABC≈∆EDC

Q: Given A ABC, let M be the midpoint of segment AB and let N be the midpoint of segment BC. Then 2…

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Q: What additional information is needed to prove AJKM = ALKM by side-angle-side? K. a. < MJK = MLK b.…

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Q: Refer to the diagram shown. U If SU and RT bisect each other, which theorem(s) can be used to show…

A: Geometry Question

Q: The figure shows two adjacent triangles, AMAH and ATAH, where AH bisects ZMHT and MH TH. Prove that…

A: We have to prove that angle M is equal to angle T.

Q: Let ABCDE be a regular pentagon, assume that each side has length 1. Let F be the intersection point…

A: Given : ABCDE a Regular Pentagon. Each Side has length 1. Intersection Point of AD and EC is F. Show…

Q: Given oN with chord AB , which point lies on the perpendicular bisector of AB ?

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Q: Which triangle congruency theorem would be used to prove AAED ACEB? A D SS SAS ©ASA AAS E HL

A: Here we have to find that in which congruency theorem is used to prove ∆AED ≅ ∆CEB.

Q: 5. Given: In rectangle ABCD, E is the midpoint of AB, Fis the midpoint of BC, Gis the midpoint of…

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Q: Given: ABCD is a rhombus, DE DF and FC AE. Prove: AADE ACDF.

A: Given : ABCD is rhombus DE≅DFFC≅AE

Q: In the accompanying diagram. AB and CD intersect at E, E is the midpoint of AB, and LA LB. A, B.…

A: Given, AB and CD intersects at E E is the midpoint of AB ∠A≅∠B

Q: What additional information is needed to prove triangles congruent by SAS? W X Y V U

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