PSAT Math - Points and Distance Formula

1

One line has four collinear points in order from left to right A, B, C, D. If AB = 10’, CD was twice as long as AB, and AC = 25’, how long is AD?

2

One line has four collinear points in order from left to right A, B, C, D. If AB = 10’, CD was twice as long as AB, and AC = 25’, how long is AD?

3

What is the distance between (1, 4) and (5, 1)?

4

What is the distance between (1, 4) and (5, 1)?

5

Points D and E lie on the same line and have the coordinates $\left ( 1,2\right )$ and $\left ( 5,7\right )$ , respectively. Which of the following points lies on the same line as points D and E?

6

Points D and E lie on the same line and have the coordinates $\left ( 1,2\right )$ and $\left ( 5,7\right )$ , respectively. Which of the following points lies on the same line as points D and E?