Congruent Triangles

Front

What are congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle measuring more than 90 degrees.

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths and all three angles are of different measures.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring exactly 90 degrees.

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length and the angles opposite those sides are equal.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

The SSS criterion states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important in geometry because it allows us to prove that two triangles are identical in shape and size, which is fundamental in solving various geometric problems.

Front

What is the difference between acute and obtuse triangles?

Back

An acute triangle has all angles measuring less than 90 degrees, while an obtuse triangle has one angle measuring more than 90 degrees.