Geometry Unit 3 Test

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

If m∠L = -x + 26 and m∠M = 2x - 10, how do you find the value of x?

Back

Set the two expressions equal to each other: -x + 26 = 2x - 10. Solve for x to find x = 12.

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that the angle bisector of an angle divides the opposite side into two segments that are proportional to the lengths of the other two sides.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which is a criterion for triangle congruence.

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.

Front

What is the difference between SAS and ASA in triangle congruence?

Back

SAS (Side-Angle-Side) requires two sides and the included angle to be equal, while ASA (Angle-Side-Angle) requires two angles and the included side to be equal.

Front

How do you determine if two triangles are congruent?

Back

You can use criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the definition of a perpendicular line?

Back

A perpendicular line is a line that intersects another line at a right angle (90 degrees).

Front

What is the definition of a bisector?

Back

A bisector is a line, ray, or segment that divides an angle or a segment into two equal parts.

Front

If ∆ABC ≅ ∆XYZ, what can you conclude about the sides and angles?

Back

You can conclude that corresponding sides and angles of the triangles are equal, such as AB ≅ XY.