8. Fill in the missing statements and rnano ba *amplete the following proof Given: mLY = 49, mLZ = 131, m2W = 49 Prove: WXYZ is a parallelogram statement reason 1. m

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.3: Angles And Polygons
Problem 1C
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8. Fill in the missing statements and rname ta
*amplete the following proof
Given: mLY = 49, mLZ = 131,
m2W = 49
Prove: WXYZ is a parallelogram
statement
reason
1. m<Y= 49, m<Z = 131, m<W = 49
1.
2.
2. m<y + m<z + m<w + m<x =
360
3.
3. 49 + 131 + 49 + m<x = 360
4.
4. 229 + m<x = 360
5.
5. m< x = 131
6. <X <Z and <W <Y
6.
7. WXYZ is a parallelogram
7.
Reasons Bank - Choose from the following
statements to fill in the blanks!
1.
3.
The sum of the interior angles of a
quadrilateral is 360 degrees
Subtraction property of equality
A quadrilateral with opposite angles
congruent is a parallelogram
5.
Substitution property of equality
6.
angles with equal measures are congruent
7.
Given
Simplify (combine like terms)
2.
4.
Transcribed Image Text:8. Fill in the missing statements and rname ta *amplete the following proof Given: mLY = 49, mLZ = 131, m2W = 49 Prove: WXYZ is a parallelogram statement reason 1. m<Y= 49, m<Z = 131, m<W = 49 1. 2. 2. m<y + m<z + m<w + m<x = 360 3. 3. 49 + 131 + 49 + m<x = 360 4. 4. 229 + m<x = 360 5. 5. m< x = 131 6. <X <Z and <W <Y 6. 7. WXYZ is a parallelogram 7. Reasons Bank - Choose from the following statements to fill in the blanks! 1. 3. The sum of the interior angles of a quadrilateral is 360 degrees Subtraction property of equality A quadrilateral with opposite angles congruent is a parallelogram 5. Substitution property of equality 6. angles with equal measures are congruent 7. Given Simplify (combine like terms) 2. 4.
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