Triangles and Triangle Congruence - Review Set A

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Front

What are the types of triangles based on sides?

Back

1. Equilateral Triangle: All sides are equal. 2. Isosceles Triangle: Two sides are equal. 3. Scalene Triangle: All sides are different.

Front

What are the types of triangles based on angles?

Back

1. Acute Triangle: All angles are less than 90 degrees. 2. Right Triangle: One angle is exactly 90 degrees. 3. Obtuse Triangle: One angle is greater than 90 degrees.

Front

What does congruent mean in geometry?

Back

Congruent means that two figures have the same shape and size. In triangles, this means corresponding sides and angles are equal.

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

The SAS Postulate states that if two sides of one triangle are equal to two sides of another triangle, and the included angle is equal, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

The ASA Postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

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

Front

What is CPCTC?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to show that corresponding sides and angles of congruent triangles are equal.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (vertical) angles are equal.

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 the congruence postulates.