Problem preview

G-SRT.5 Warmup M2-050-A06-V03

Use triangle congruence and similarity criteria to solve problems and prove geometric relationships.

Prove a geometric relationship after proving triangles congruent

Problem

After proving overlapping triangles congruent, what conclusion can \(\text{CPCTC}\) justify about a corresponding target side or angle?

Answer choices

Choose your path.

Preview only

After the overlapping triangles are proved congruent, the target side or angle is congruent to its corresponding part by CPCTC.

After the overlapping triangles are proved congruent, the target side or angle is known without naming a corresponding part, because congruent triangles make everything match automatically.

After the overlapping triangles are proved congruent, the shared side is congruent to itself by the reflexive property, so that is the conclusion.

After the overlapping triangles are proved congruent, the proof should conclude only that the triangles are congruent, since overlap prevents using CPCTC.

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

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

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-SRT.5
Category: Geometry
Domain: Similarity, Right Triangles, and Trigonometry
Objective: Use triangle congruence and similarity criteria to solve problems and prove geometric relationships.
Problem type: Prove a geometric relationship after proving triangles congruent