Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: A method to prove triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: A method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A method to prove triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is an obtuse triangle?

Back

A triangle that has one angle greater than 90 degrees.

Front

What is an acute triangle?

Back

A triangle that has all angles less than 90 degrees.

Front

What is a right triangle?

Back

A triangle that has one angle equal to 90 degrees.

Front

How can you determine if two triangles are congruent?

Back

By using congruence criteria such as SSS, SAS, ASA, AAS, or HL.

Front

What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which helps in proving their congruence.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are congruent by the Angle-Angle (AA) criterion.