Question

given △abc≅△pqr, select the 3 correct statements below.
□ ab≅pr
□ ac = pr
□ m∠b=m∠q
□ ∠a≅∠r
□ bc≅qr
□ ∠b≅∠r

Explanation:

Step1: Recall congruent - triangle properties

When $\triangle ABC\cong\triangle PQR$, corresponding sides are congruent and corresponding angles are congruent. The order of the letters in the triangle names gives the corresponding parts. $A$ corresponds to $P$, $B$ corresponds to $Q$, and $C$ corresponds to $R$.

Step2: Check side - congruence

For sides, $\overline{AB}\cong\overline{PQ}$, $\overline{AC}\cong\overline{PR}$, $\overline{BC}\cong\overline{QR}$. So, $\overline{AC} = PR$ (since congruent segments have equal lengths) and $\overline{BC}\cong\overline{QR}$ are correct side - related statements.

Step3: Check angle - congruence

For angles, $\angle A\cong\angle P$, $\angle B\cong\angle Q$, $\angle C\cong\angle R$. So, $m\angle B = m\angle Q$ is a correct angle - related statement.

Answer:

1. AC = PR
2. $m\angle B=m\angle Q$
3. $\overline{BC}\cong\overline{QR}$