3. Triangles

Triangle Congruence — Quiz

Test your understanding of triangle congruence with 5 practice questions.

Practice Questions

Question 1

Given $\triangle ABC$ and $\triangle XYZ$. If $AB = XY$, $\angle B = \angle Y$, and $AC = XZ$, which of the following statements is true regarding their congruence?

Question 2

In a geometric proof, if you have two triangles $\triangle ABC$ and $\triangle DEF$ where $AB \parallel DE$ and $AC \parallel DF$, and $BC = EF$, what additional information is needed to prove $\triangle ABC \cong \triangle DEF$ using ASA?

Question 3

Consider $\triangle PQR$ and $\triangle STU$. If $PQ = ST$, $QR = TU$, and $\angle R = \angle U$, can you prove that $\triangle PQR \cong \triangle STU$?

Question 4

In $\triangle ABC$, point $D$ is the midpoint of $BC$. If $AD$ is perpendicular to $BC$, which congruence criterion can be used to prove $\triangle ABD \cong \triangle ACD$?

Question 5

Given a quadrilateral $ABCD$ where $AB = CD$ and $BC = DA$. If diagonal $AC$ is drawn, which congruence criterion proves $\triangle ABC \cong \triangle CDA$?