Identify Triangle Similarity and Angle Relationships

Front

What are vertical angles?

Back

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

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two parallel lines. They are equal.

Front

If two parallel lines are cut by a transversal, what can be said about corresponding angles?

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.

Front

What is the relationship between the angles formed by a transversal and parallel lines?

Back

The angles formed include corresponding angles, alternate interior angles, and same-side interior angles, which have specific relationships (equal or supplementary) depending on their positions.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if their sides are in proportion.

Front

What is the Angle-Angle (AA) similarity postulate?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the Side-Angle-Side (SAS) similarity theorem?

Back

If an angle of one triangle is equal to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity theorem?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

If angle 4 is 50 degrees, what is the measure of angle 6 if angle 4 and angle 6 are vertical angles?

Back

Angle 6 is also 50 degrees because vertical angles are equal.

Front

If angle 3 is 70 degrees, what is the measure of angle 8 if angle 3 and angle 8 are alternate interior angles?

Back

Angle 8 is also 70 degrees because alternate interior angles are equal.