EOC Similarity and Congruence Proofs

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the SAS similarity criterion?

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, the triangles are similar.

Front

What does SSS~ mean in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity, which states that if the three sides of one triangle are proportional to the three sides of another triangle, the triangles are similar.

Front

What is AAS~ in triangle similarity?

Back

AAS~ stands for Angle-Angle-Side similarity, which states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side 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, meaning for any segment AB, AB ≅ AB.

Front

What does it mean when two triangles are congruent?

Back

Two triangles are congruent if they have the same size and shape, which means all corresponding sides and angles are equal.

Front

What is the significance of the 'given' statement in a proof?

Back

The 'given' statement provides the initial information or conditions that are accepted as true for the purpose of the proof.

Front

What is the angle of rotation for a 270° counterclockwise rotation?

Back

A 270° counterclockwise rotation about the origin moves a point to the position that is three-quarters of the way around the circle.

Front

If ∆ABC≅∆XYZ, what can we conclude about the sides AB and XY?

Back

If ∆ABC≅∆XYZ, then AB≅XY, meaning the lengths of sides AB and XY are equal.

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof is to provide a logical argument that demonstrates the truth of a geometric statement based on previously established facts and definitions.