Which of these best describes the hypotenuse-angle theorem?

a. If the hypotenuse and an acute angle of a right triangle are similar to the corresponding parts of another right triangle, then the triangles are similar

b. none of these

c. If a side and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

d. If the hypotenuse and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

Question

Mathematics

Isai Barnett

13 March, 18:15

Which of these best describes the hypotenuse-angle theorem?

a. If the hypotenuse and an acute angle of a right triangle are similar to the corresponding parts of another right triangle, then the triangles are similar

b. none of these

c. If a side and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

d. If the hypotenuse and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

+1

Answers (2)

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Ashly Hendrix · Answer 1

d. If the hypotenuse and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

Step-by-step explanation:

The hypotenuse, acute angle, and right angle form a AAS triple. When these are congruent between two right triangles, the triangles are congruent by the AAS postulate.

Gilmore · Answer 2

d. if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.