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

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Section6.3: Elimination Using Addition And Subtraction
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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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