Problem preview

G-CO.11 Warmup M2-035-A14-V03

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

Complete a parallelogram proof by choosing the missing converse theorem

Problem

Parallelogram \(WXYZ\) has congruent diagonals. Name the classification theorem that upgrades the parallelogram to a rectangle and state the resulting conclusion.

Answer choices

Choose your path.

Preview only

Use the theorem that if the diagonals of a rectangle are congruent, then WXYZ is a rectangle.

Use the theorem that if a parallelogram has congruent diagonals, then it is a rectangle.

Use the theorem that if opposite sides of a parallelogram are congruent, then it is a rectangle.

Use the converse theorem that if the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

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: Complete a parallelogram proof by choosing the missing converse theorem