Geometry Coordinate Geometry & Transformations 3

Question 1

A figure is rotated 90 degrees counterclockwise about the origin. Point (2, 3) maps to?

Accepted Answer

(-3, 2)

Answer

A 90 degree CCW rotation maps (x, y) to (-y, x), giving (-3, 2).

Question 2

Which lines are parallel?

Accepted Answer

y = 2x + 1 and y = 2x - 4

Answer

Parallel lines have equal slopes; both have slope 2.

Question 3

Two lines are perpendicular if their slopes are 3 and what value?

Accepted Answer

-1/3

Answer

Perpendicular slopes are negative reciprocals, so -1/3.

Question 4

A dilation with scale factor 3 centered at the origin maps (2, -1) to?

Accepted Answer

(6, -3)

Answer

Multiply each coordinate by 3: (6, -3).

Question 5

What is the length of the segment from (-3, 0) to (3, 0)?

Accepted Answer

6

Answer

The horizontal distance is |3 - (-3)| = 6.

Geometry Practice Test