Geo EOC Review #5 (Coordinate Geometry)

Points K and L are shown on the number line. If the weights of K and L are the same, which statement is true?

• The weighted average of K and L cannot be determined.

• The weighted average of K and L is greater than 4.5

• The weighted average of K and L is less than 4.5

• The weighted average of K and L is 4.5

On the number line, the coordinates of points A and B are 11 and 23, respectively. If the weight of A is 1/3 and the weight of B is 4/6, what is the weighted average of the points? Enter NUMBERS only!

Which statements are true? Select All That Apply!

• w1 is less than w2

• w1 is closer to point A than point B

• w2 is closer to point B than point A

• The value of w1 is 23

• The value of w1 is 26

The endpoints of the diameter of a circle are (−6, 0) and (0, 8). What are the coordinates of the center of the

circle? Enter your answer in the box below.

Given line segment AB with the following coordinates: A (-4, -1) B (6, 4).

Point P divides the directed line segment from point A to B such that the ratio of AP to PB is 2:3. What are the coordinates of P?

• (-1, 1)

• (0, 1)

• (1, 0)

• (2, 2)

A line segment has endpoints at A (-7, 11) and B (5, -5). Point K lies on the line segment. Which coordinates for point K result in ratio of AK to KB of 3:1?

• (2, -1)

• (-4, 7)

• (7, -4)

• (-1, 2)

Given P (4, 5) and Q (10, 14). Point R divides line segment PQ such that the ratio of PR to RQ is 1:2. Match each value or set of coordinates approximately.

• 9

• The x-coordinate of R

• 1/3

• 6

• The ratio of Part to Whole

• 6

• The y-coordinate of R

• 8

Triangle ABE is graphed on the coordinate plane. Select All the statements that are TRUE.

• Point H is the midpoint of BE.

• Point F is the midpoint of AB.

• The length of FI is 4.1

• AB = 2GH

• BG is perpendicular to AE

Triangle PQR is shown. Select All the statements that are true.

Three vertices of quadrilateral ABCD are shown. B (1, 1), C (-1, -2), D (6, 0). In order for ABCD to be a parallelogram, what must the coordinates of point A be?

• (-3, 3)

• (-3, 4)

• (-4, 3)

• (-4, 4)