Q:

Based on the information marked in the diagram, FGH and JKL must be congruent. true or false???

Accepted Solution

A:
To determine if the rectangle triangles shown in the diagram are congruent, we must see if they comply with the following conditions:

 1. The legs of a right triangle must be congruent to the corresponding legs of the other triangle.

 2. The hypotenuse and acute angle of one of the right triangles must be congruent to the hypotenuse and the acute angle of the other right triangle.

 3. A leg and the acute angle of one of them must be congruent to one leg and to the corresponding acute angle of the other right triangle.
 4. The hypotenuse and a the leg of one of the triangles must be congruent to the hypotenuse and the corresponding leg of the other triangle.

 When we observe the diagram attached to the problem, we can conclude that both triangles comply with the conditions mentioned before.Then, FGH and JKL are congruent.

 Answer: True