Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What is the symbol for congruence?

Back

≅

Front

If ∠A ≅ ∠M, what can we conclude?

Back

Angle A is equal in measure to angle M.

Front

What does it mean for two figures to be congruent?

Back

They are identical in shape and size, allowing for rotation or reflection.

Front

What is an isosceles triangle?

Back

A triangle with at least two sides of equal length.

Front

What is a scalene triangle?

Back

A triangle with all sides of different lengths.

Front

What is an equilateral triangle?

Back

A triangle with all three sides of equal length.

Front

What is the relationship between similar and congruent triangles?

Back

Similar triangles have the same shape but not necessarily the same size; congruent triangles are both the same shape and size.

Front

How can you prove that two triangles are congruent?

Back

By using congruence criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), or ASA (Angle-Side-Angle).

Front

What does the term 'corresponding parts' refer to in congruent triangles?

Back

The sides and angles of one triangle that match with the sides and angles of another triangle.