Unit 5 Review (Congruent Triangles)

Front

What is a congruence statement?

Back

A congruence statement indicates that two geometric figures are congruent, meaning they have the same shape and size. It is written in the form of ΔABC ≅ ΔDEF.

Tags

CCSS.8.G.A.2

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem states that if a right triangle has a hypotenuse and one leg that are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is CPCTC?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to prove that corresponding sides and angles of congruent triangles are equal.

Tags

CCSS.HSG.CO.B.7

Front

What should be included in the givens of a proof?

Back

The givens of a proof include all the information that is provided in the problem, such as side lengths, angle measures, and any relationships between figures.

Front

How do you determine if two triangles are congruent using side lengths?

Back

You can use the SSS (Side-Side-Side) postulate, which states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Side-Angle (ASA) congruence postulate?

Back

The ASA postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Angle-Side (SAS) congruence postulate?

Back

The SAS postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the purpose of sketching a diagram in geometry problems?

Back

Sketching a diagram helps visualize the problem, making it easier to understand relationships between figures and apply geometric principles.

Tags

CCSS.8.G.A.5

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, which is often used in proofs.