SSS, SAS, ASA & AAS Flashcard

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate used to prove that two triangles are congruent if two sides and the included angle are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent if two angles and a non-included side are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate used to prove that two triangles are congruent if all three sides are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAA criterion in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Tags

CCSS.HSG.CO.B.7

Front

What is the HL theorem in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove that two right triangles are congruent if the hypotenuse and one leg are equal.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only their angles are known?

Back

No, knowing only the angles (AAA) does not guarantee congruence; it only guarantees similarity.

Tags

CCSS.8.G.A.2

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle between the two sides being compared, which is crucial for establishing congruence.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are congruent with AAS?

Back

To determine congruence with AAS, you need to show that two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruence and similarity in triangles?

Back

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

Tags

CCSS.8.G.A.2