Triangle Congruency

Front

What is Triangle Congruency?

Back

Triangle congruency refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does the Side-Angle-Side (SAS) postulate state?

Back

The SAS postulate states that if two sides of one triangle are equal to two sides of another triangle, and the angle between those sides is also equal, then the two triangles are congruent.

Front

What does the Angle-Side-Angle (ASA) postulate state?

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, then the triangles are congruent.

Front

What does the Side-Side-Side (SSS) postulate state?

Back

The SSS postulate states that if all three sides of one triangle are equal to all three sides of another triangle, then the two triangles are congruent.

Front

What is the definition of congruent triangles?

Back

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

Front

What information is needed to prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, you need the lengths of two sides and the measure of the included angle.

Front

What information is needed to prove triangles are congruent using ASA?

Back

To prove triangles are congruent using ASA, you need the measures of two angles and the length of the included side.

Front

What information is needed to prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, you need the lengths of all three sides of both triangles.

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, and it is crucial for establishing congruency.

Front

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

Back

If you have the lengths of all three sides of both triangles, you can use the SSS postulate to determine if they are congruent.