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Solving Problems on Properties of Parallelogram A. Below is parallelogram ABCD. Consider each given information and answer the questions that follow. C E M A

Solving Problems on Properties of Parallelogram A. Below is parallelogram ABCD. Consider each given information and answer the questions that follow. C E M A

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
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Solving Problems on Properties of Parallelogram A. Below is parallelogram ABCD. Consider each given information and answer the questions that follow. C L b. How long is CA? c. What is the value of y? E M 1. Given: CA = (3x - 5)cm, AM = (2y-7)cm, ME = (x + 7)cm, and CE = (y + 3) cm. a. What is the value of x? A d. How long is CE? e. What is the perimeter of parallelogram CAME? 2. Suppose: mLACE = 2a + 25 and m/AME = 3a - 15. a. What is the value of a? b. What is mLACE? c. What is mLMAC? 3. Suppose: EL = 8 cm and CM = 13 cm. a. How long is AE? b. How long is CL? B. Answer each of the following. 1. Explain why every parallelogram is a quadrilateral, but not every quadrilateral is a parallelogram. 2. Andrei argues that a quadrilateral with one pair of sides congruent and the other pair of sides parallel is always a parallelogram. What is wrong with Andrei's argument?
Transcribed Image Text:Solving Problems on Properties of Parallelogram A. Below is parallelogram ABCD. Consider each given information and answer the questions that follow. C L b. How long is CA? c. What is the value of y? E M 1. Given: CA = (3x - 5)cm, AM = (2y-7)cm, ME = (x + 7)cm, and CE = (y + 3) cm. a. What is the value of x? A d. How long is CE? e. What is the perimeter of parallelogram CAME? 2. Suppose: mLACE = 2a + 25 and m/AME = 3a - 15. a. What is the value of a? b. What is mLACE? c. What is mLMAC? 3. Suppose: EL = 8 cm and CM = 13 cm. a. How long is AE? b. How long is CL? B. Answer each of the following. 1. Explain why every parallelogram is a quadrilateral, but not every quadrilateral is a parallelogram. 2. Andrei argues that a quadrilateral with one pair of sides congruent and the other pair of sides parallel is always a parallelogram. What is wrong with Andrei's argument?
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