Question

In an isosceles triangle ABC, points D and F are on the leg CB. ________?

1) Which angle is congruent to angle ABC?
2) Which angle is congruent to angle BAC?
3) Which angle is congruent to angle ACB?
4) Which angle is congruent to angle BCA?

Answer 1

In an isosceles triangle ABC, the angles that are congruent are: angle ABC and angle BCA, angle BAC and angle BCA, angle ACB and angle ABC, and angle BCA and angle ABC.

Step-by-step explanation:

An isosceles triangle is a triangle with two sides of equal length. In triangle ABC, if points D and F are on the leg CB, then we can determine which angles are congruent in the triangle.

1. Angle ABC is congruent to angle BCA, since they are opposite angles formed by the sides AB and AC.
2. Angle BAC is congruent to angle BCA, since they are base angles formed by the sides AB and AC.
3. Angle ACB is congruent to angle ABC, since they are base angles formed by the sides AC and BC.
4. Angle BCA is congruent to angle ABC, since they are opposite angles formed by the sides AC and BC.