CB 4-17a Similar Triangles Proofs Review

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two parallel lines cut by a transversal. They are equal in measure.

Front

What is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What does AA ~ mean in triangle similarity?

Back

AA ~ means 'Angle-Angle Similarity'. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

Front

What is the Side-Angle-Side (SAS) Similarity Theorem?

Back

The SAS Similarity Theorem states that if an angle of one triangle is equal to an angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

What does it mean for sides in similar figures to be proportional?

Back

In similar figures, the lengths of corresponding sides are in the same ratio, meaning they can be expressed as a fraction that is equal.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What is the significance of the Transitive Property in triangle similarity?

Back

The Transitive Property states that if triangle A is similar to triangle B, and triangle B is similar to triangle C, then triangle A is similar to triangle C.

Front

What is the definition of a transversal?

Back

A transversal is a line that intersects two or more lines at different points, creating various angles.

Front

What are vertical angles?

Back

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