6.2 Station 2 Triangle Congruency

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating 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 AAS triangle congruence theorem?

Back

AAS stands for Angle-Angle-Side, 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, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA triangle congruence theorem?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem applicable to right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Which triangle congruence theorem is NOT valid?

Back

AAA (Angle-Angle-Angle) is NOT a valid triangle congruence theorem because it does not guarantee that the triangles are congruent; it only shows that they are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles congruent by AAS?

Back

To prove triangles congruent by AAS, you need to know two angles and one non-included side of one triangle is congruent to the corresponding angles and side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

How do you denote congruent angles?

Back

Tags

CCSS.8.G.A.2

Front

How do you denote congruent sides?

Back

Tags

CCSS.8.G.A.2

Front

What is the significance of triangle congruence theorems?

Back

Triangle congruence theorems are significant because they allow us to prove that two triangles are identical in shape and size, which is essential in various geometric proofs and applications.

Tags

CCSS.HSG.SRT.B.5

Front

If triangle ABC is congruent to triangle DEF, how can you name triangle DEF?

Back

Triangle DEF can be named as triangle FMN if the corresponding vertices are matched correctly, such as A to D, B to E, and C to F.

Tags

CCSS.HSG.CO.B.7