Geometry Coordinate Geometry & Transformations 4

Question 1

A translation moves every point 4 units right and 2 units down. Which vector describes it?

Accepted Answer

(4, -2)

Answer

Right is +x and down is -y, so the vector is (4, -2).

Question 2

Which transformation is NOT an isometry?

Accepted Answer

Dilation with factor 2

Answer

A dilation with factor 2 changes size, so it is not an isometry.

Question 3

What is the slope of a horizontal line?

Accepted Answer

0

Answer

A horizontal line has no vertical change, so its slope is 0.

Question 4

Point (1, 1) is rotated 180 degrees about the origin. Its image is?

Accepted Answer

(-1, -1)

Answer

A 180 degree rotation maps (x, y) to (-x, -y), giving (-1, -1).

Question 5

What is the distance from the origin to the point (6, 8)?

Accepted Answer

10

Answer

Distance = sqrt(6^2 + 8^2) = sqrt(100) = 10.

Geometry Practice Test