Congruent Triangles and distance formula

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 the included side of one triangle are equal to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the distance formula used to calculate the distance between two points A(x1, y1) and B(x2, y2)?

Back

Tags

CCSS.HSG.GPE.B.7

Front

What is the criterion for proving triangles congruent using the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem states 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

Is AAA (Angle-Angle-Angle) a valid rule for proving triangles congruent?

Back

No, AAA is not a valid rule for proving triangles congruent because it does not guarantee that the triangles are of the same size.

Tags

CCSS.HSG.SRT.B.5

Front

How do you write the distance between points A(3,1) and B(-2,-1) using the distance formula?

Back

Tags

CCSS.HSG.GPE.B.7

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 of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the AAS postulate in triangle congruence?

Back

The AAS postulate allows us to conclude that two triangles are congruent 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the formula for calculating the distance between points A(2,0) and B(-2,4)?

Back

Tags

CCSS.HSG.GPE.B.7

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 of one triangle are equal to all three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2