Question

Given: ∠ABC is a right angle and ∠DEF is a right angle.

To prove: All right angles are congruent by showing that ∠ABC ≅ ∠DEF.

Answer 1

To prove that all right angles are congruent, we can use the fact that if two triangles have the same angles, then they are congruent. In this case, if we can show that ∠ABC and ∠DEF are both right angles and have the same measure, then we can conclude that they are congruent.

Step-by-step explanation:

To prove that all right angles are congruent, we can use the fact that if two triangles have the same angles, then they are congruent. In this case, if we can show that ∠ABC and ∠DEF are both right angles and have the same measure, then we can conclude that they are congruent.

Given that ∠ABC is a right angle and ∠DEF is a right angle, we know that they both measure 90 degrees. Since they have the same measure, we can conclude that they are congruent. Therefore, ∠ABC is congruent to ∠DEF.