Question

(Rx-axis o Ry-axis)(AABC)=(ADEF). List all the pairs of angles and sides with equal measures.

a) ∠ A = ∠ D, ∠ B = ∠ E, ∠ C = ∠ F

b) ∠ A = ∠ D, AB = DE, AC = DF

c) AB = DE, BC = EF, AC = DF

d) BC = EF, ∠ B = ∠ E, ∠ C = ∠ F

Answer 1

The pairs of angles and sides with equal measures are ∠A = ∠D, ∠B = ∠E, ∠C = ∠F and AB = DE, BC = EF, AC = DF.

Step-by-step explanation:

In order to determine the pairs of angles and sides with equal measures, we need to understand the properties of similar triangles. Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

By comparing the given angles of triangle ABC with the angles of triangle DEF, we can determine that ∠A = ∠D, ∠B = ∠E, and ∠C = ∠F. Additionally, by comparing the corresponding sides, we can determine that AB = DE, AC = DF, and BC = EF.

Therefore, the correct option is (c) AB = DE, BC = EF, AC = DF.