3. Triangles

Cpctc — Quiz

Test your understanding of cpctc with 5 practice questions.

Practice Questions

Question 1

In a geometric proof, if you have established that $\triangle ABC \cong \triangle DEF$ using the ASA Postulate, which statement would you use to prove that $\overline{AC} \cong \overline{DF}$?

Question 2

Given that $\triangle PQR \cong \triangle STU$, if $\angle P = 50^\circ$, $\angle Q = 70^\circ$, what is the measure of $\angle U$?

Question 3

Which of the following statements is an incorrect application of CPCTC?

Question 4

In a geometric proof, after proving $\triangle XYZ \cong \triangle PQR$ using the ASA Postulate, which statement would you use to prove that $\overline{XZ} \cong \overline{PR}$?

Question 5

Given that $\triangle GHI \cong \triangle JKL$, if $\angle G = 40^\circ$, $\angle H = 80^\circ$, and $\overline{GH} = 7$ cm, what is the length of $\overline{JK}$?