Exploring Right Triangles and Congruence Theorems

The video tutorial covers right triangles and their congruence theorems. It begins with an introduction to right triangles, explaining the hypotenuse and legs. The tutorial then reviews congruence theorems from Chapter 6, including SAS, ASA, AAS, and SSS. It introduces new theorems specific to right triangles: HL, LL, HA, and LA. The video concludes with practice problems to apply these theorems.

What is the side opposite the right angle in a right triangle called?

• Leg

• Base

• Hypotenuse

• Altitude

Which congruence postulate involves two sides and the included angle?

• AAS

• SAS

• ASA

• SSS

In the AAS congruence theorem, what is the position of the side relative to the angles?

• Included side

• None of the above

• Opposite side

• Adjacent side

What does HL stand for in the HL congruence theorem?

• Height Leg

• Hypotenuse Length

• Height Length

• Hypotenuse Leg

Which congruence theorem is used when two legs of one right triangle are congruent to two legs of another right triangle?

• HA

• LL

• LA

• HL

In the HA congruence theorem, what does 'A' stand for?

• Area

• Angle

• Adjacent

• Altitude

Which congruence theorem involves a leg and an adjacent angle?

• HL

• LA

• LL

• HA

If two right triangles share a hypotenuse and one leg, which congruence theorem applies?

• HA

• LL

• LA

• HL

What is the correct congruence theorem if two right triangles have one leg and the opposite angle congruent?

• HL

• LL

• HA

• LA

Which congruence theorem cannot be used to prove right triangle congruence?

• SSS

• ASA

• SAS

• SSA