Problem preview
G-CO.11 Warmup M2-035-A13-V03

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

Choose the sufficient condition that proves a quadrilateral is a parallelogram

Problem

A quadrilateral has \(\text{both}~\text{pairs}~\text{of}~\text{opposite}~\text{angles}\) congruent. Name the sufficient-condition converse that proves the quadrilateral is a parallelogram.

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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
Choose the sufficient condition that proves a quadrilateral is a parallelogram