Geometry Final 2024

QR is located at Q(-5, -8) and R(-1, 3). Which pair of points would form a segment congruent to QR?

• (7, 4) and (-3, 5)

• (-10, 2) and (-1, 6)

• (3, -5) and (1, -6)

• (-4, 9) and (7, 5)

Answer explanation

Use distance formula to find with points have the same distance as QR

If SW ⊥ RT, m∠RSU = (5x + 17)°, and m∠VST = (9x - 11)°, find m∠WSV.

• 34°

• 38°

• 52°

• 66°

Answer explanation

Which diagram shows a pair of angle measures that prove j || k?

• Diagram A

• Diagram B

• Diagram C

• Diagram D

Answer explanation

What value of x would prove a || b?

• 8

• 9

• 10

• 11

Answer explanation

A crosswalk connects two sidewalks along the street below. If the sidewalks are parallel, what is the value of x?

• 66°

• 114°

• 126°

• 156°

Answer explanation

If BC || DE, find the value of x.

• 3

• 4

• 5

• 6

Answer explanation

The graph of line l is shown below. Which of the following represents the slope of a line parallel to line l?

• -3

• 3

• -1/3

• 1/3

Answer explanation

JK has coordinates J(-3, 9) and K(5, -1). If LM is perpendicular to JK, what is the slope of LM?

• 4/5

• -4/5

• 5/4

• -5/4

Answer explanation

Level 3

Which two equations below are parallel?

• y = 2x + 1 and y = -1/2x + 1

• y = 2x + 3 and y = -2x + 3

• y = 2x - 1 and y = 1/2x - 1

• y = -x + 4 and y = -x + 2

Answer explanation

Which proves as a counterexample to the statement "All capital letters have at least one line of symmetry."

• S

• C

• Y

• H

Answer explanation

A counterexample is an example that proves a statement false.