H Geom Test Chap 4 part 1

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 congruent 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 have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the ASA postulate?

Back

ASA stands for Angle-Side-Angle, a postulate that states 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

How do you find the value of x in a triangle?

Back

To find the value of x in a triangle, use the properties of triangles such as the sum of angles in a triangle equals 180 degrees or apply congruence postulates.

Front

What is the AAS postulate?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the significance of corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal, which helps in proving triangle congruence.

Front

What is the relationship between the sides of an equilateral triangle?

Back

In an equilateral triangle, all three sides are equal in length, and all three angles are equal, each measuring 60 degrees.

Front

What does it mean if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the definition of a triangle's included angle?

Back

The included angle is the angle formed between two sides of a triangle.

Front

How can you prove triangles are congruent using the SSS postulate?

Back

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