Unit 5 -- both reviews combined

Front

What is AAS in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangles are congruent if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is SAS in triangle congruence?

Back

SAS stands for 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 is SSS in triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangles are congruent if all three sides of one triangle are equal to the corresponding sides of another triangle.

Front

What is ASA in triangle congruence?

Back

ASA stands for 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

If ΔABC ≅ ΔXYZ, what can we conclude about the angles?

Back

The corresponding angles are equal: ∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z.

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 all corresponding sides and angles are equal.

Front

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

Back

You can use the SSS postulate, which states that if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Front

What additional information is needed to show triangles are congruent by AAS?

Back

You need to know two angles and one non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means if two triangles are congruent, their corresponding sides and angles are also equal.

Front

How do you find the value of x in congruent triangles?

Back

Set the corresponding sides equal to each other and solve for x.