Congruent Triangles (SSS & SAS)

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for 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 equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

How can you determine if two triangles are congruent using SSS?

Back

To determine if two triangles are congruent using SSS, measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Front

How can you determine if two triangles are congruent using SAS?

Back

To determine if two triangles are congruent using SAS, measure two sides and the included angle of both triangles. If the two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, they are congruent.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, typically written in the form ΔABC ≅ ΔDEF, where the corresponding vertices are matched.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that they do not have the same size and shape, which can be due to differences in side lengths or angles.

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal. At least two sides and the included angle must be equal (SAS) or all three sides must be equal (SSS) for congruence.

Front

What is the importance of the included angle in SAS?

Back

The included angle in SAS is crucial because it is the angle formed between the two sides being compared. It ensures that the triangles are not only the same size but also the same shape.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that two triangles are identical in size and shape, while similarity means that two triangles have the same shape but may differ in size.

Front

What is the role of corresponding parts in triangle congruence?

Back

Corresponding parts are the sides and angles of triangles that are matched when determining congruence. For triangles to be congruent, all corresponding parts must be equal.