Practice Triangle Congruence

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, 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 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, the 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, the 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, 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, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, having corresponding sides and angles that are equal.

Tags

CCSS.8.G.A.2

Front

What additional information is needed for ASA congruence?

Back

For ASA congruence, you need to know two angles and the included side of one triangle to compare with another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, show that all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruence and similarity in triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What is the importance of the included angle in SAS?

Back

In SAS, the included angle is crucial because it is the angle formed between the two sides being compared, ensuring the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5