Overlapping Triangles

Front

What are overlapping triangles?

Back

Overlapping triangles are triangles that share a common vertex or side, allowing them to be compared or analyzed together.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, which can be proven using criteria such as SSS, SAS, AAS, ASA, or HL.

Front

What is the Angle-Side-Angle (ASA) congruence criterion?

Back

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

Front

What is the Side-Angle-Side (SAS) congruence criterion?

Back

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

Front

What is the Side-Side-Side (SSS) congruence criterion?

Back

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

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if a point lies in the interior of an angle, the sum of the two adjacent angles formed is equal to the measure of the larger angle.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What is the significance of common sides in overlapping triangles?

Back

Common sides in overlapping triangles can be used to establish congruence and help in proving relationships between the triangles.

Front

How can you identify congruent angles in overlapping triangles?

Back

Congruent angles can be identified by looking for angles that are marked as equal or by using congruence criteria.

Front

What is the purpose of using congruence statements?

Back

Congruence statements are used to express that two triangles are congruent and to specify which parts of the triangles correspond to each other.