Question

1. (\triangle abecong\triangle mnp)

angles sides
write another valid congruency statement:

Explanation:

Step1: Recall the property of congruent triangles

When \(\triangle ABE\cong\triangle MNP\), the corresponding angles and sides are equal.
The corresponding angles: \(\angle A=\angle M\), \(\angle B=\angle N\), \(\angle E=\angle P\)
The corresponding sides: \(AB = MN\), \(BE=NP\), \(AE = MP\)

Step2: Write another congruency statement

Since the order of vertices in a congruency statement matters (corresponding vertices are in order), another valid congruency statement can be written by re - arranging the vertices while maintaining the correspondence. For example, \(\triangle BAE\cong\triangle NMP\) (because \(B\) corresponds to \(N\), \(A\) corresponds to \(M\), \(E\) corresponds to \(P\))

Answer:

Angles: \(\angle A=\angle M\), \(\angle B=\angle N\), \(\angle E=\angle P\)
Sides: \(AB = MN\), \(BE=NP\), \(AE = MP\)
Another valid congruency statement: \(\triangle BAE\cong\triangle NMP\) (answers may vary depending on vertex re - arrangement as long as correspondence is maintained)