Given:
[tex]\Delta ABE\cong \Delta MNP[/tex]
To find:
The congruent angles and sides, then find the another valid congruency statement.
Solution:
We have,
[tex]\Delta ABE\cong \Delta MNP[/tex]
We know that, corresponding parts of congruent triangles are congruent (CPCTC).
Using CPCTC, we get
Angles:
[tex]\angle A\cong \angle M[/tex]
[tex]\angle B\cong \angle N[/tex]
[tex]\angle E\cong \angle P[/tex]
Sides:
[tex]AB\cong MN[/tex]
[tex]BE\cong NP[/tex]
[tex]AE\cong MP[/tex]
The another congruent statement is [tex]\Delta BEA\cong \Delta NPM[/tex].
Therefore, the required table is
Angles Sides
[tex]\angle A\cong \angle M[/tex] [tex]AB\cong MN[/tex]
[tex]\angle B\cong \angle N[/tex] [tex]BE\cong NP[/tex]
[tex]\angle E\cong \angle P[/tex] [tex]AE\cong MP[/tex]
The another congruent statement is [tex]\Delta BEA\cong \Delta NPM[/tex].
