Math 7 - Unit 6 - Day 1 - Congruent Sides and Angles

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What symbol is used to denote congruence?

Back

The symbol for congruence is ≅.

Front

If side AB is congruent to side AE, what can we say about their lengths?

Back

If side AB is congruent to side AE, then their lengths are equal.

Front

What are corresponding sides in congruent triangles?

Back

Corresponding sides are the sides that are in the same position in two different triangles.

Front

What are corresponding angles in congruent triangles?

Back

Corresponding angles are the angles that are in the same position in two different triangles.

Front

If ∠E ≅ ∠A, what can we conclude about angles E and A?

Back

Angles E and A are equal in measure.

Front

How can you determine if two triangles are congruent using side lengths?

Back

You can use the Side-Side-Side (SSS) postulate, which states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) postulate?

Back

The ASA postulate states that if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, the triangles are congruent.

Front

What is the Side-Angle-Side (SAS) postulate?

Back

The SAS postulate states that if two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, the triangles are congruent.

Front

What is the purpose of using congruence in geometry?

Back

Congruence helps to determine if two shapes are identical in size and shape, which is essential for solving problems involving measurements and properties of shapes.