Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the definition of congruent segments?

Back

Two segments are congruent if they have the same length.

Tags

CCSS.8.G.A.2

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the definition of a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form of triangle congruence (e.g., ∆ABC ≅ ∆DEF).

Tags

CCSS.HSG.CO.B.7

Front

What are the criteria for triangle congruence?

Back

The main criteria for triangle congruence are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Tags

CCSS.HSG.SRT.B.5

Front

What does the notation ∠A ≅ ∠B signify?

Back

The notation ∠A ≅ ∠B signifies that angle A is congruent to angle B, meaning they have the same measure.

Tags

CCSS.8.G.A.2

Front

What is the relationship between corresponding parts of congruent triangles?

Back

The corresponding parts of congruent triangles are congruent, meaning that if two triangles are congruent, their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the importance of identifying non-congruent statements in geometry?

Back

Identifying non-congruent statements helps to understand the limitations of congruence and ensures accurate reasoning in geometric proofs.

Tags

CCSS.8.G.A.2

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

To determine if two triangles are congruent using the SSS criterion, check if all three pairs of corresponding sides are equal in length.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure, regardless of their orientation or position.

Tags

CCSS.8.G.A.2