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Complete the proof. Given:

Complete the proof. Given:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 24E
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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
Transcribed Image Text: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.
Transcribed Image Text: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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