5.1/5.2 Triangles Practice

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 side lengths?

Back

The types of triangles based on side lengths are: Equilateral (all sides equal), Isosceles (two sides equal), and Scalene (no sides equal).

Front

What are the types of triangles based on angles?

Back

The types of triangles based on angles are: Acute (all angles less than 90°), Right (one angle equal to 90°), and Obtuse (one angle greater than 90°).

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is the Third Angles Theorem?

Back

The Third Angles Theorem states that if two angles of one triangle are equal to two angles of another triangle, then the third angles are also equal.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, which means their corresponding sides and angles are equal.

Front

What is the notation for congruence?

Back

The notation for congruence is '≅'. For example, if triangle ABC is congruent to triangle DEF, it is written as ∆ABC ≅ ∆DEF.

Front

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

Back

Two triangles are congruent by SSS (Side-Side-Side) if all three sides of one triangle are equal to the three sides of another triangle.

Front

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

Back

Two triangles are congruent by SAS (Side-Angle-Side) if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

How do you determine if two triangles are congruent using ASA?

Back

Two triangles are congruent by ASA (Angle-Side-Angle) if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.