Distance, Midpoint, & Slope

Question 1

If the points (6,10), (8,4) and (10, k) lie on a straight line, what is the value of k?

Answer 1

-2

Since the points lie on a straight line, the slopes must be equal

Question 2

A circle has its center at the point (-2,3). If one endpoint of a diamter is at (3,-5), find the other endpoint of the diameter.

Answer 2

(-7, 11)

Question 3

Point P has coordinates (-12,5). What is its distance from the origin?

Answer 3

13

Question 4

In a circle, the coordinates of the endpoints of a diameter are (4,5) and (10,1). What are the coordinates of the center of the circle?

Answer 4

(7, 3)

Question 5

Find the midpoint of the line segment joining (5, -1) and (-1, 7)

Answer 5

(2, 3)

Question 6

If you forget the distance formula, you can always use the _________ Theorem.

Answer 6

Pythagorean

Question 7

Vertical or __________ distances can be counted on the graph paper.

Answer 7

horizontal

Question 8

Find the distance between (4,6) and (8,6).

Answer 8

4

Question 9

True or false?

Distance = Length

Answer 9

True

Question 10

Show that the diagonals of this rectangle A(0,5), B(3,4), C(0,-5), D(-3,-4) are congruent.

Answer 10

AC = 10 ✓
BD = 10 ✓

Question 11

Given M is the midpoint of AB. The coordinates of A are (-4,2) and the coordinates of M are (1,1). Find the coordinates of B.

Answer 11

(6,0)

Question 12

What is the slope of the line through (6,9) and (7,1)?

Answer 12

-8