5. Complete the following proof.Given: the figure where R is themidpoint of PT and QSProve: APQR = ATSRRStatementsReasons1. PQ 1QS, QS 1 ST, PQ = ST;R is the midpoint of PT and QS.1.2. definition of midpoint2.3. ZQ and LS are right angles.4. All right angles are congruent.5.5. ZPRQ = ZTRS6. AA→ AAA6.7..7. ΔΡΟR= ΔTRCHA3.4.

Answered: Image /qna-images/answer/50482168-5f8b-452c-8439-f20405caa523.jpg

Answered: 5. Complete the following proof. Given:…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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1. Refer to the figure or the right. Supply the missing statements/ reasons using the statements on the box below the table. Given: AB and CB are tangents to 1 O at A and C, respectively, and intersect at the exterior point B. Prove: MLABC =(MAPC-mAC) Proof: (Supply the missing Statements/Reasons) Statements Reasons Given Line Postulate Definition of exterior angle Draw chord INDABC, m/I=m2+mZB mZB= %3D Subtraction Property of Equality 1 MAPC; m/2=- m21= mLB=MAPC -mAC %3D Common Monomial Factor m/B=
hat re- and the 3. The * 7. Suppose that in a trapezoid ABCD, as in Figure 12.74, AB and CD are parallel. A D E C B Figure 12.74 Trapezoid and the triangles formed by its diagonals. Let E be the point where the diagonals AC and BD meet. Explain why triangles AED and BEC must have the same area. (Do this without meas- uring actual lengths or areas.)
Mr. Williams had this proof on the board. Which definition or theorem justifies step 2, zADC and zABC are both right angles? Given: Circle A with tangents BC and DC Prove: Arc BE - Arc DE A Statements 1. Circle A with tangents BC and DC 2. ADC and ABC are both right, Reasons 1. 2. angles 3. AD = AB 3. 4. AC AC 4. 5. AABC = AADC - ΔADC 5. 6. DAC = BAC 6. 7. Arc BE = Arc DE 7. О СРСТС O Reflexive property
.
Supply the missing reasons to complete the proof. Given: PR = PY, AP is perpendicular to RY Prove:ZR ZY Proof: R A Statement Reason 1.PR = PY 1. Given 2. AP is perpendicular to RY 2. Given 3. ZPAR and LPAY are right angles 3. Definition of Perpendicular Lines 4. Definition of Right Triangles 5. Reflexive Property 4.APAR andAPAY are right triangles 5.PA PA 6. ΔΡAR ΔΡΑΥ 6. 7. ZR = LY 7. O ssS Postulate; CPCTC sSS Postulate; Vertical Angle Theorem O HL Theorem; CPCTC HL Theorem; Vertical Angle Theorem
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What other information has to be true in order to prove PQR is congruent to PSR by Side angle Side
Please answer Question 5 (3.3)

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