Respuesta :
The correct answers are:
A. Hypotenuse-angle (HA) ; B. Hypotenuse-leg (HL) ; C. Leg-leg (LL) ; and D. Leg-angle (LA)
Explanation:
The HA, or hypotenuse-angle, theorem states that 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.
The HL, or hypotenuse-leg, theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The LL, or leg-leg, theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The LA, or leg-acute, theorem states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.
Right triangle congruence theorems says two right triangle is congruent, when hypotenuse side and any other leg (Hypotenuse-leg (HL)) is equal to the other right angle triangle respectively. Thus option B is correct.
What is triangle congruence theorem?
Two triangle are congruent when the shape and size of both the triangle are same.
Triangle congruence theorem are-
- Angle-Side-Angle theorem (AAS)- This theorem states that two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.
- Side-Side-Side theorem (SSS)- When the three sides of the one triangle is equal to the three sides of the other triangle respectively, then the triangle are congruent.
- Side-Angle-Side theorem (SAS)- Two sides and the included angle of are equal to the two sides and one angle of other triangle respectively.
- Hypotenuse-leg (HL)- The length of the hypotenuse side (longest side of right angle triangle) and the any other leg of the triangle equal to the hypotenuse side and any other leg of the other triangle respectively. It is known as right triangle congruence theorems.
As the Right triangle congruence theorems says two right triangle is congruent, when hypotenuse side and any other leg (Hypotenuse-leg (HL)) is equal to the other right angle triangle respectively.
Hence, Hypotenuse-leg (HL) is the right triangle congruence theorem. Thus the option B is the correct option.
Learn more about the triangle congruence theorem here;
https://brainly.com/question/19258025
