4.4 SSS SAS Practice

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

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, measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

To determine if two triangles are congruent using the SAS criterion, measure two sides and the included angle of both triangles. If the two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is a congruency statement?

Back

A congruency statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form ΔABC ≅ ΔDEF, where the corresponding vertices are in the same order.

Tags

CCSS.8.G.A.2

Front

What is the significance of the order of letters in a congruency statement?

Back

The order of letters in a congruency statement indicates the corresponding vertices of the triangles. For example, in ΔABC ≅ ΔDEF, vertex A corresponds to vertex D, B to E, and C to F.

Tags

CCSS.HSG.CO.B.7

Front

What is the Angle-Angle-Side (AAS) criterion for triangle congruence?

Back

The AAS criterion 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 congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the purpose of proving triangle congruence?

Back

Proving triangle congruence is essential in geometry as it allows us to establish that two triangles are identical in shape and size, which can be used to solve various geometric problems.

Tags

CCSS.8.G.A.2

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that two triangles are identical in shape and size, while similarity means that two triangles have the same shape but may differ in size.

Tags

CCSS.8.G.A.2