Homework Help is Here – Start Your Trial Now!
Math
Geometry
Complete the proof. Given:

Complete the proof. Given:

Elementary Geometry For College Students, 7e
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
See similar textbooks
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
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Research Ethics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS