urgent please Complete the proof.MGiven: ZK=ZM, KP I PR, MR 1 PRProve: A KPR =A MRPRStatementsReasons1. ZK= ZMKPI PR1. GivenMRI PR2. Definition of perpendicular lines2. ZKPR and ZMRP are right angles.Right Angle Theorem3.ZKPR =2MRP3. PR = PR3. Reflexive PropertyAngle-Side-Angle v Postulate4. A KPR = A MRP Charlotte and Hillary decide to share a grilled cheese sandwich. Hillary does not believe the twopieces of sandwich are the same size. Charlotte explains that together the sandwich makes arectangle. This means that m ZA = m ZC = 90° and ZA =ZC. Knowing that BC || AD, thetransversal is BD. So, ZADB=ZCBD because they are alternate interior angles.BWhat additional information can Charlotteuse in order to prove that the two pieces ofthe sandwich are congruent using AASPostulate?BD= BD using the Reflexive Property.AD= BC by the Perpendicular LinePostulateCharlotte does not need any additionalinformation. She has already provedAABD=ACBD using the AASBA= CD by the Parallel LinePostulate.postulate.

Since you have posted multiple questions i can do first question as per our company guidelines…

Answered: Complete the proof. Given:

Math

Geometry

Complete the 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.

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 34E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...

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Question

urgent please

Complete the proof.
M
Given: ZK=ZM, KP I PR, MR 1 PR
Prove: A KPR =A MRP
R
Statements
Reasons
1. ZK= ZM
KPI PR
1. Given
MRI PR
2. Definition of perpendicular lines
2. ZKPR and ZMRP are right angles.
Right Angle Theorem
3.ZKPR =2MRP
3. PR = PR
3. Reflexive Property
Angle-Side-Angle v Postulate
4. A KPR = A MRP

Charlotte and Hillary decide to share a grilled cheese sandwich. Hillary does not believe the two
pieces of sandwich are the same size. Charlotte explains that together the sandwich makes a
rectangle. This means that m ZA = m ZC = 90° and ZA =ZC. Knowing that BC || AD, the
transversal is BD. So, ZADB=ZCBD because they are alternate interior angles.
B
What additional information can Charlotte
use in order to prove that the two pieces of
the sandwich are congruent using AAS
Postulate?
BD= BD using the Reflexive Property.
AD= BC by the Perpendicular Line
Postulate
Charlotte does not need any additional
information. She has already proved
AABD=ACBD using the AAS
BA= CD by the Parallel Line
Postulate.
postulate.

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