Question

Given congruent triangles name the corresponding sides and corresponding angles

Triangle AEC is congruent to Triangle DEB (image is provided)

Answer 1

Sides:

AC ≅ DB

CE ≅ BE

AE ≅ DE

Angles:

∡ACE ≅ ∡DBE

∡CEA ≅ ∡BED

∡EAC ≅ ∡EDB

or

∡A ≅ ∡D

∡CEA ≅ ∡BED

∡C ≅ ∡B

Explanation:

ΔAEC ≅ ΔDEB

This statement is written in the order that each of the sides and angles correspond to.

∡A ≅ ∡D; ∡E ≅ ∡E; ∡C ≅ ∡B

For angle E, you have to specify which triangle it comes from. Write the names of the other two points that help form the angle. ∡CEA ≅ ∡BED

Some teachers want the full formatting for all angles, so write the angle with three letters as well for the others.

∡A ≅ ∡D => ∡EAC ≅ ∡EDB

∡C ≅ ∡B => ∡ACE ≅ ∡DBE

For the sides, you label them using the two points that they are made from. The statement they gave you already has the points in order.

AC ≅ DB

CE ≅ BE

AE ≅ DE