Question

Looking at the labeled information in the figure below, create a statement that details a pair of angles (not already labeled) that are congruent because of corresponding parts of congruent

triangles
(Name the vertices in each angle in alphabetical order)
B
A
lion dose

Answer 1

In triangles ΔBAE and ΔCED, which are congruent triangles, ∠ DBA is congruent to ∠CDB because corresponding parts of congruent triangles are Congruent, (CPCTC)

Explanation:

The given information are;

In triangle ΔBAE and ΔCED, ∠EAB Alternate angles)is congruent to ∠ECD (

∠CED is congruent to ∠AEB (Vertically opposite angles)

Segment
`\overline {BA}` is congruent to segment
`\overline {DC}` (Given)

Therefore;

Triangle ΔBAE is congruent to ΔCED (Angle Angle Side AAS congruency rule)

Therefore, ∠ DBA is congruent to ∠CDB (Corresponding Parts of Congruent Triangles are Congruent, (CPCTC))