Question

1. mark your triangles to show that (\triangle amtcong\triangle cdn). identify all pairs of congruent corresponding angles and sides.

Explanation:

Step1: Identify congruent angles

Since \(\triangle AMT\cong\triangle CDN\), by the definition of congruent triangles, corresponding angles are congruent.
\(\angle A\cong\angle C\), \(\angle M\cong\angle D\), \(\angle T\cong\angle N\)

Step2: Identify congruent sides

Also, by the definition of congruent triangles, corresponding sides are congruent.
\(AM\cong CD\), \(MT\cong DN\), \(AT\cong CN\)

Answer:

Congruent angles: \(\angle A\cong\angle C\), \(\angle M\cong\angle D\), \(\angle T\cong\angle N\); Congruent sides: \(AM\cong CD\), \(MT\cong DN\), \(AT\cong CN\)