Quiz about Geo EOC Review #5 (Coordinate Geometry)

Question 1

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

Accepted Answer

The weighted average of K and L is 4.5

Answer

The weighted average of K and L cannot be determined.

Answer

The weighted average of K and L is greater than 4.5

Answer

The weighted average of K and L is less than 4.5

Question 2

Which statements are true? Select All That Apply!

Accepted Answer

w1 is less than w2

Accepted Answer

w1 is closer to point A than point B

Accepted Answer

w2 is closer to point B than point A

Accepted Answer

The value of w1 is 23

Answer

The value of w1 is 26

Question 3

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?

Accepted Answer

(0, 1)

Answer

(-1, 1)

Answer

(1, 0)

Answer

(2, 2)

Question 4

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?

Accepted Answer

(2, -1)

Answer

(-4, 7)

Answer

(7, -4)

Answer

(-1, 2)

Question 5

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

Accepted Answer

Point H is the midpoint of BE.

Accepted Answer

Point F is the midpoint of AB.

Accepted Answer

The length of FI is 4.1

Accepted Answer

AB = 2GH

Answer

BG is perpendicular to AE

Question 6

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

Accepted Answer

$$PR\ \cong\ RQ$$

Accepted Answer

$$PR\ \perp\ RQ$$

Accepted Answer

$$\Delta PQR$$ is a Right Triangle

Accepted Answer

$$\Delta PQR$$ is an Isosceles Triangle

Answer

$$PR\ \cong\ PQ$$

Question 7

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?

Accepted Answer

(-4, 3)

Answer

(-3, 3)

Answer

(-3, 4)

Answer

(-4, 4)

Question 8

Three vertices of a parallelogram are given: (-5, 5), (-4, 8), and (-2, 2). Which ordered pair describes the location of the fourth vertex of the parallelogram?

Accepted Answer

(-3, -1)

Answer

(-3, 0)

Answer

(-4, 1)

Answer

(-4, 2)

Question 9

ABCD is a square with diagonals BD and AC. If the coordinates of points B and D are B (2, 9) and D (-11, -4), what are the coordinates of the other diagonal AC?

Accepted Answer

A (-11, 9), C (2, -4)

Answer

A (-11, -9), C (-2, 4)

Answer

A (-11, -4), C (-2, 4)

Answer

A (11, 4), C (2, -4)

Question 10

Jim plotted points A and B on the coordinate grid. He wants to add a point C to create a right triangle. Which of the following coordinates would not create a right triangle ?

Accepted Answer

(5,8)

Answer

(6,8)

Answer

(3,2)

Answer

(3,7)

Question 11

In the coordinate plane, what is the slope of a line perpendicular to a line with slope $$2$$ ?

Accepted Answer

$$-\frac{1}{2}$$

Answer

$$2$$

Answer

$$-2$$

Answer

$$\frac{1}{2}$$

Question 12

What is the distance between the points $$(3,\ 2)$$ and $$(5, 7)$$ in the coordinate plane?

Accepted Answer

$$\sqrt{29}$$

Answer

$$5$$

Answer

$$10$$

Answer

$$\sqrt{13}$$

Question 13

Finish the rectangle. What is the ordered pair for the missing coordinate?

Accepted Answer

( 4 , 3 )

Answer

( 4 , 2 )

Answer

( 5 , 3 )

Answer

( 5 , 6 )

Question 14

Two rectangles for graped on the coordinate grid. The shaded section represents all the points located in both rectangles. Which coordinates are represented inside the shaded region? Select all that apply.

Accepted Answer

(-6. 0)

Accepted Answer

(-3, 2)

Answer

(4, 3)

Answer

(-12, -6)

Answer

(-11, 10)

Question 15

What are the coordinates of the centroid with coordinates: P (-3, 1), Q (-2, 4), and R (5, -2)

Accepted Answer

(0, 1)

Answer

(1, 4)

Answer

(0, 3)

Answer

(1, 3)

Question 16

If a rectangle has vertices at points M (1, 1), N (1, 4), and O (5, 1), what are the coordinates of the fourth vertex P to complete the rectangle?

Accepted Answer

(5, 4)

Answer

(4, 5)

Answer

(0, 0)

Answer

(5, 0)

Question 17

For the line segment connecting points A (3, 7) and B (-1, 2), what is the midpoint of this segment?

Accepted Answer

(1, 4.5)

Answer

(1, 5)

Answer

(2, 4.5)

Answer

(0, 4.5)

Geo EOC Review #5 (Coordinate Geometry)

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