Triangle Congruence with Algebra Integration Flashcard

Front

What is a congruence statement?

Back

A statement that indicates two geometric figures are congruent, meaning they have the same shape and size.

Tags

CCSS.8.G.A.2

Front

What does SSS stand for in triangle congruence?

Back

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

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

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

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

If AB = 6x and XY = 3x + 33, what is the value of x?

Back

x = 11.

Tags

CCSS.7.G.B.5

Front

How can you determine if two triangles are congruent?

Back

By using congruence theorems such as SSS, SAS, ASA, AAS, or HL (Hypotenuse-Leg for right triangles).

Tags

CCSS.8.G.A.2

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

A theorem stating that if the hypotenuse and one leg of a 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 significance of congruence in geometry?

Back

Congruence allows us to determine that two shapes are identical in size and shape, which is essential for solving many geometric problems.

Tags

CCSS.8.G.A.2

Front

What is the difference between congruence and similarity?

Back

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

Tags

CCSS.8.G.A.2