MPT Geometry 2

Question 1

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

Accepted Answer

5

Answer

Distance = √((4−1)² + (6−2)²) = √(9 + 16) = √25 = 5.

Question 2

What is the midpoint of the segment connecting (2, 4) and (8, 10)?

Accepted Answer

(5, 7)

Answer

Midpoint = ((2+8)/2, (4+10)/2) = (5, 7).

Question 3

Two triangles are similar with corresponding sides in the ratio 2:5. If a side of the smaller triangle is 6, what is the corresponding side of the larger triangle?

Accepted Answer

15

Answer

Setting up the proportion 2/5 = 6/x gives x = 15.

Question 4

What is the slope of the line passing through (3, 1) and (7, 9)?

Accepted Answer

2

Answer

Slope = (9−1)/(7−3) = 8/4 = 2.

Question 5

A line has slope 3. What is the slope of a line perpendicular to it?

Accepted Answer

−1/3

Answer

Perpendicular lines have slopes that are negative reciprocals, so slope = −1/3.

(MPT) UCF Math Placement Test Practice Test

(MPT) UCF Math Placement Test Practice Test

MPT Geometry 2