Question

Determine whether triangles ABC and DBE are similar by following these steps:

∠ABC is ______ ∠DBE.
a) Congruent to
b) Greater than
c) Less than
d) Equal to

Answer 1

Triangles ABC and DBE are similar by∠ABC is congruent to ∠DBE.

Step-by-step explanation:

Determining the similarity of triangles involves comparing their corresponding angles.

In this case, ∠ABC is congruent to ∠DBE. When two angles are congruent, it means they have the same measure.

This similarity in angle measurement is a key criterion for establishing the similarity of triangles.

Triangles ABC and DBE are considered similar because their corresponding angles are congruent.

The term "congruent" indicates that the angles have equal measures, reinforcing the idea that ∠ABC is equal in measure to ∠DBE.

This similarity in angle measures is a fundamental concept in geometry and is a basis for establishing the similarity of geometric figures.

In summary, the answer is A. ∠ABC is congruent to ∠DBE, indicating that the triangles ABC and DBE are similar based on the equality of their corresponding angles.