SAS Congruence

Front

What does the Reflexive Property state in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning AC ≅ AC.

Front

What are Vertical Angles and why are they important in proving congruence?

Back

Vertical Angles are the angles opposite each other when two lines intersect. They are important because they are always congruent, which can be used to prove angle congruence.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the significance of transformations in geometry?

Back

Transformations, such as reflections, rotations, and translations, help in understanding how figures can be manipulated while maintaining congruence.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the purpose of proving triangles congruent?

Back

Proving triangles congruent allows us to establish that two triangles are identical in shape and size, which can be used in various geometric applications.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal in measure.

Front

What is the role of given information in proving triangle congruence?

Back

Given information provides the necessary data to apply congruence criteria (like SAS) to prove that two triangles are congruent.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

How can you determine if two angles are congruent?

Back

Two angles are congruent if they have the same measure, which can be established through various properties, such as the Vertical Angles Theorem.