Congruent Triangles SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, you must show that all three sides of one triangle are equal to the three sides of another triangle.

Front

How can you prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, you must show that two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle.

Front

What is the importance of the included angle in SAS?

Back

The included angle in SAS is crucial because it must be the angle between the two sides being compared; this ensures the triangles are congruent.

Front

Can two triangles be congruent if only two sides are equal?

Back

No, two triangles cannot be proven congruent with only two sides equal unless the included angle is also known (SAS).

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length.

Front

If two triangles have sides of lengths 5, 7, and 9, and another triangle has sides of lengths 5, 7, and 9, are they congruent?

Back

Yes, they are congruent by the SSS postulate.