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G-CO.11 Warmup M2-035-A01-V03

Prove parallelogram theorems and their converses, including diagonal and rectangle results.

Use the opposite-sides theorem in a parallelogram to find a missing side measure or solve for a variable

Problem

In parallelogram \(WXYZ\), \(WX~=~2y~-~1\) and \(YZ~=~13\). What is the value of \(y\)?

Parallelogram WXYZ with opposite sides WX labeled 2y−1 and YZ labeled 13. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-CO.11
Category
Geometry
Domain
Congruence
Objective
Prove parallelogram theorems and their converses, including diagonal and rectangle results.
Problem type
Use the opposite-sides theorem in a parallelogram to find a missing side measure or solve for a variable