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 is the Reflexive Property in geometry?

Back

A property stating that any geometric figure is congruent to itself, e.g., AB ≅ AB.

Front

What is the Transitive Property of congruence?

Back

If triangle A is congruent to triangle B, and triangle B is congruent to triangle C, then triangle A is congruent to triangle C.

Front

How do you classify triangles by their angles?

Back

Triangles can be classified as acute (all angles < 90°), right (one angle = 90°), or obtuse (one angle > 90°).

Front

If ∆ABC ≅ ∆XYZ, what can we say about their corresponding sides?

Back

AB ≅ XY, BC ≅ YZ, and AC ≅ XZ.

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°.

Front

How do you solve for an unknown angle in a triangle?

Back

Subtract the sum of the known angles from 180° to find the unknown angle.

Front

What is an acute triangle?

Back

A triangle where all three angles are less than 90°.

Front

What is a right triangle?

Back

A triangle that has one angle equal to 90°.

Front

What is an obtuse triangle?

Back

A triangle that has one angle greater than 90°.