Math II · G-CO.11

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

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

Concept Geometry
Domain Congruence
Problem Types

Problem Templates In This Objective

10 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

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

4 variants
Template 2

Use opposite angles in a parallelogram to find a missing angle or solve for a variable

4 variants
Template 3

Use supplementary consecutive angles in a parallelogram to find a missing angle measure

4 variants
Template 4

Use the diagonal bisection property of a parallelogram to find a missing measure

4 variants
Template 5

Test the opposite-sides converse for a parallelogram

4 variants
Template 6

Test the opposite-angles converse for a parallelogram

4 variants
Template 7

Test the diagonal-bisection converse for a parallelogram

4 variants
Template 8

Use congruent diagonals in a rectangle to find a missing measure

4 variants
Template 9

Choose the sufficient condition that proves a quadrilateral is a parallelogram

4 variants
Template 10

Complete a parallelogram proof by choosing the missing converse theorem

4 variants