Proving Triangles SSS and SAS Congruent (Section 4-4)

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 distance formula used for in coordinate geometry?

Back

The distance formula is used to determine the distance between two points in a coordinate plane, given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of corresponding angles in triangle congruence?

Back

Corresponding angles are angles that are in the same position in different triangles. If two triangles are congruent, their corresponding angles are equal.

Front

What is the relationship between congruent triangles and their sides?

Back

If two triangles are congruent, then their corresponding sides are also equal in length.

Front

What is the purpose of proving triangles congruent?

Back

Proving triangles congruent allows us to establish that two triangles are identical in shape and size, which can be used to solve various geometric problems.

Front

What is the criteria for triangle congruence using the SSS postulate?

Back

The criteria for triangle congruence using the SSS postulate is that all three sides of one triangle must be equal to all three sides of another triangle.

Front

What is the criteria for triangle congruence using the SAS postulate?

Back

The criteria for triangle congruence using the SAS postulate is that two sides and the included angle of one triangle must be equal to two sides and the included angle of another triangle.

Front

How many times do you use the distance formula to prove triangles congruent in a coordinate plane?

Back

You use the distance formula six times to prove triangles congruent in a coordinate plane.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, allowing them to be superimposed on each other.