Test 5 Extra Credit [Geo]

Front

What is ASA in triangle congruence?

Back

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

Front

What is SAS in triangle congruence?

Back

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

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, which means their corresponding sides and angles are equal.

Front

If ∆ABC ≅ ∆MNO, what can we conclude about their corresponding angles?

Back

If ∆ABC ≅ ∆MNO, then ∠A ≅ ∠M, ∠B ≅ ∠N, and ∠C ≅ ∠O.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle formed between the two sides being compared. It is crucial for establishing congruence.

Front

How do you prove triangles are congruent using ASA?

Back

To prove triangles are congruent using ASA, you need to show that two angles and the side between them in one triangle are congruent to the corresponding two angles and the side in another triangle.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

The corresponding parts of congruent triangles are equal, meaning their corresponding sides and angles are congruent.

Front

What is the formula to find the length of a side in a congruent triangle problem?

Back

In congruent triangles, the lengths of corresponding sides are equal. For example, if ∆ABC ≅ ∆MNO, then AB = MN, AC = MO, and BC = NO.

Front

What is the missing piece to prove triangles are congruent by ASA?

Back

To prove triangles are congruent by ASA, you need two angles and the included side to be congruent.

Front

If ∠K ≅ ∠T in congruent triangles, what can we infer about the triangles?

Back

If ∠K ≅ ∠T, then the triangles are congruent if the other corresponding parts are also congruent.