Question

Determine if the triangles are congruent by hypotenuse-leg. If true, then give the triangle congruency statement.

a. True and Triangle IJK
b. True and triangle HKI
c. True and triangle KJI
d . False

Answer 1

To determine if the triangles are congruent by hypotenuse-leg, we need to check if the hypotenuse and one leg of one triangle are congruent to the corresponding parts of the other triangle. If the triangles are congruent by hypotenuse-leg, the congruency statement would be Triangle IJK ≅ Triangle HKI and Triangle IJK ≅ Triangle KJI.

Step-by-step explanation:

The student is asked to determine if the triangles are congruent by hypotenuse-leg and provide the congruency statement if true. To determine if the triangles are congruent by hypotenuse-leg, we need to check if the hypotenuse and one leg of one triangle are congruent to the corresponding parts of the other triangle. If the triangles are congruent by hypotenuse-leg, the congruency statement would be Triangle IJK ≅ Triangle HKI and Triangle IJK ≅ Triangle KJI.

Looking at the given triangles and their corresponding parts, we can see that the triangles are congruent by hypotenuse-leg. Therefore, the congruency statements for the given triangles are Triangle IJK ≅ Triangle HKI and Triangle IJK ≅ Triangle KJI.