Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg; a method to prove right triangles are congruent if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

How do you classify triangles by their sides?

Back

Triangles can be classified as equilateral (all sides equal), isosceles (two sides equal), or scalene (no sides equal).

Front

How do you classify triangles by their angles?

Back

Triangles can be classified as acute (all angles less than 90°), right (one angle equal to 90°), or obtuse (one angle greater than 90°).

Front

What is the distance formula?

Back

The distance formula is used to find the length of a line segment between two points (x1, y1) and (x2, y2): d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the sum of the angles in a triangle?

Back

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