Right Triangle Congruence Theorems Explained

The video tutorial covers right triangle congruence, focusing on specific theorems like Leg-Leg, Hypotenuse-Angle, Leg-Angle, and Hypotenuse-Leg. It explains how these theorems are special applications of general triangle congruence principles, adapted for right triangles. The tutorial also includes a proof of congruent right triangles using these theorems, providing a practical example for students to understand the concepts better.

What does the leg-leg theorem state about right triangles?

• If two legs of one right triangle are congruent to two legs of another, the triangles are congruent.

• If two angles of one right triangle are congruent to two angles of another, the triangles are congruent.

• If the hypotenuse of one right triangle is congruent to the hypotenuse of another, the triangles are congruent.

• If the hypotenuse and one leg of a right triangle are congruent to those of another, the triangles are congruent.

What is the special application of the side angle side theorem in right triangles?

• Hypotenuse leg theorem

• Angle side angle theorem

• Leg-leg theorem

• Hypotenuse angle theorem

Which theorem is equivalent to side angle angle in the context of right triangles?

• Leg-leg theorem

• Hypotenuse leg theorem

• Hypotenuse angle theorem

• Leg angle theorem

How can the leg angle theorem be applied in right triangles?

• It applies when two legs are congruent.

• It applies when a leg and an acute angle are congruent to those of another triangle.

• It applies when the hypotenuse and an acute angle are congruent.

• It applies when two angles are congruent.

In right triangles, which theorem allows the use of angle side side?

• Leg-leg theorem

• Hypotenuse angle theorem

• Hypotenuse leg theorem

• Leg angle theorem

What does the hypotenuse leg theorem state?

• If two angles of one right triangle are congruent to two angles of another, the triangles are congruent.

• If the hypotenuse and a leg of one right triangle are congruent to those of another, the triangles are congruent.

• If two legs of one right triangle are congruent to two legs of another, the triangles are congruent.

• If the hypotenuse and an acute angle of one right triangle are congruent to those of another, the triangles are congruent.

What property allows the hypotenuse leg theorem to be valid in right triangles?

• The congruence of two acute angles

• The fixed 90-degree angle

• The congruence of two legs

• The congruence of two hypotenuses

Why are right triangles unique in allowing the angle side side congruence?

• Because they have congruent hypotenuses

• Because they have two congruent sides

• Because they have a fixed 90-degree angle

• Because they have two acute angles

In the proof involving an isosceles triangle, what property is used to establish congruence?

• Side-side-side

• Hypotenuse leg

• Angle-side-angle

• Leg-leg

What does the reflexive property of congruence imply in the context of the proof?

• The hypotenuse of one triangle is congruent to the hypotenuse of another.

• Segment AM is congruent to segment MC.

• Angle 1 is congruent to angle 2.

• Segment BM is congruent to itself.