Triangle Congruency

Front

What does AAS stand for in triangle congruency?

Back

AAS stands for Angle-Angle-Side, a condition that proves two triangles are congruent if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruency?

Back

ASA stands for Angle-Side-Angle, a condition that proves two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruency?

Back

SSS stands for Side-Side-Side, a condition that proves two triangles are congruent if all three sides of one triangle are equal to the corresponding sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruency?

Back

HL stands for Hypotenuse-Leg, a condition that proves two right triangles are congruent if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS condition in triangle congruency?

Back

SAS stands for Side-Angle-Side, a condition that proves two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of triangle congruency in geometry?

Back

Triangle congruency is significant because it allows us to determine that two triangles are identical in shape and size, which is fundamental in solving various geometric problems.

Tags

CCSS.8.G.A.2

Front

How can you determine if two triangles are congruent using the SSS condition?

Back

To determine if two triangles are congruent using the SSS condition, measure all three sides of both triangles and check if they are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the angles and sides in the ASA condition?

Back

In the ASA condition, the two angles are known, and the side between them (the included side) must also be equal for the triangles to be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only one angle and two sides are known?

Back

No, to prove congruency with only one angle and two sides, you would need to use the SSA condition, which does not guarantee congruency.

Tags

CCSS.8.G.A.2