Geometry Coordinate Geometry & Transformations 2

Question 1

What is the distance between points (1, 2) and (4, 6)?

Accepted Answer

5

Answer

Distance = sqrt((4-1)^2 + (6-2)^2) = sqrt(9+16) = sqrt(25) = 5.

Question 2

What is the midpoint of the segment joining (-2, 3) and (4, 7)?

Accepted Answer

(1, 5)

Answer

Midpoint = ((-2+4)/2, (3+7)/2) = (1, 5).

Question 3

What is the slope of the line through (0, 0) and (3, 9)?

Accepted Answer

3

Answer

Slope = (9-0)/(3-0) = 3.

Question 4

A point is reflected across the x-axis. If it was (5, -2), where is it now?

Accepted Answer

(5, 2)

Answer

Reflecting across the x-axis negates the y-coordinate: (5, 2).

Question 5

Which transformation preserves both size and shape but changes orientation?

Accepted Answer

Reflection

Answer

A reflection is an isometry that reverses orientation while keeping size and shape.

Geometry Practice Test