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 two 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 theorem stating 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 two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem stating 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 two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating 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 two 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 a right triangle 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 additional information is needed to prove two triangles are congruent by ASA?

Back

To prove two triangles are congruent by ASA, you need to know two angles and the included side are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

To prove two triangles are congruent by AAS, you need to know two angles and a non-included side are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove two triangles are congruent by SAS?

Back

To prove two triangles are congruent by SAS, you need to know two sides and the included angle are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between SSA and other congruence criteria?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence because the angle may not be included between the two sides.

Tags

CCSS.8.G.A.2

Front

If two triangles have two sides of equal length and a non-included angle, can they be congruent?

Back

Not necessarily; this is known as the SSA condition, which does not guarantee congruence.

Tags

CCSS.8.G.A.2