Geom-B Similarity Proofs

Front

What is the definition of similar figures?

Back

Similar figures are shapes that have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does AA ~ stand for in similarity proofs?

Back

AA ~ stands for 'Angle-Angle Similarity', which states that if two angles of one triangle are equal to two angles of another triangle, then 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 definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position on two different parallel lines cut by a transversal.

Front

What does SAS ~ stand for in similarity proofs?

Back

SAS ~ stands for 'Side-Angle-Side Similarity', which states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the Linear Pair Postulate?

Back

The Linear Pair Postulate states that if two angles form a linear pair, they are supplementary, meaning their measures add up to 180 degrees.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.