Conditions for Congruence of Triangles

The video tutorial explores the concept of congruent triangles, explaining that two triangles are congruent if all their corresponding parts are congruent. It discusses the conditions under which congruent triangles can be constructed, such as using the lengths of sides or angles. The video also delves into right triangles, highlighting the importance of the hypotenuse and the conditions for congruence, including SAS, ASA, and hypotenuse-side congruence.

Which of the following is true about congruent triangles?

• They have the same perimeter.

• They are always right triangles.

• They have the same area.

• All their corresponding parts are congruent.

What is the longest side of a right triangle called?

• Base

• Height

• Hypotenuse

• Diagonal

Which condition is sufficient to prove the congruence of two right triangles?

• AAA

• SSA

• ASA

• SAS

In the context of right triangles, what does the ASA condition imply?

• Two angles and a non-included side are congruent.

• Two sides and a non-included angle are congruent.

• Two sides and the included angle are congruent.

• Two angles and the included side are congruent.

What is the hypotenuse-side congruence condition for right triangles?

• If the hypotenuse and one side are congruent.

• If all three sides are congruent.

• If the hypotenuse and one angle are congruent.

• If two sides and one angle are congruent.