Quiz about Applying Coordinates to Different Geometrical Scenarios

Question 1

Find the coordinates of point P along the directed line segment AB so that the ratio of AP to PB is 1 to 3.

Accepted Answer

P (0.5, 2)

Answer

P (1, 2)

Answer

P (4.5, 4.5)

Answer

P (2, 2.5)

Question 2

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.

The coordinates of the point P are:

Accepted Answer

(1,5)

Answer

(0,4)

Answer

(3, 1)

Answer

(-1, 1)

Question 3

Given the points A = 4 and B = -2, find point P on directed line segment AB that partitions AB in a the ratio 1:2.

Accepted Answer

P = 2

Answer

P = 1

Answer

P = 3

Answer

P = -1

Question 4

Find the point that is 2/5 of the distance from C to D.

Accepted Answer

(0, 0)

Answer

(-1, 2)

Question 5

Determine the coordinate of P that partitions JK such that JP to PK is at a ratio of 1:1

Accepted Answer

(-1,3)

Answer

(-3,3)

Answer

(1,3)

Answer

(2, 2.5)

Question 6

If a point is 1/3 of the way from point A(3, 5) to point B(9, 15), what are the coordinates of the point?

Accepted Answer

(5, 7)

Answer

(7, 9)

Answer

(4, 6)

Answer

(6, 8)

Question 7

Find the coordinates of Point P so that it is $$\frac{1}{4}$$ the distance from B to A.

Accepted Answer

(2, -4)

Answer

(0, -3)

Answer

(-2, 0)

Answer

(0, -2)

Question 8

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that is 3/4 of the way from A to B.

Accepted Answer

(5, 11)

Answer

(1, 5)

Answer

(3, 8)

Answer

(-3, -5)

Question 9

In the standard $$\left(x,y\right)$$ coordinate plane below, point $$A$$ has coordinates $$\left(2,-4\right)$$ , and point $$B\left(8,-1\right)$$ divides $$\overline{AC}$$ so that the ratio $$AB:BC$$ is $$1:3$$ . What are the coordinates of point $$C$$ ?

Accepted Answer

$$\left(26,8\right)$$

Answer

$$\left(-16,-13\right)$$

Answer

$$\left(10,0\right)$$

Answer

$$\left(14,2\right)$$

Answer

$$\left(32,11\right)$$

Question 10

Find 3/4 of the way from the left point to the right point.

Accepted Answer

(2.5, 2.5)

Answer

( - 0.5, 1.5)

Answer

( - 0.5, 2.5)

Answer

(1.5, 2.5)

Question 11

Find P, so that AP is two-sevenths of PB. A is a (-5, 8) and B is at (9, 3).

Accepted Answer

(-1, 46/7)

Answer

(12, 11/7)

Answer

(-1, 53/7)

Answer

(13, 11/7)

Question 12

Given the points A(-2,4) and B(7,-2), find the coordinates of the point P on directed line segment AB that is 1/3 of the way from A to B.

Accepted Answer

(1,2)

Answer

(3,1)

Answer

(4,3)

Answer

(0,1)

Question 13

In the standard $$\left(x,y\right)$$ coordinate plane, the 3 distinct points $$A\left(3,5\right)$$ , $$B\left(6,8\right)$$ , and $$C$$ are collinear, and $$B$$ is equidistant from $$A$$ and $$C$$ . What are the coordinates of $$C$$ ?

Accepted Answer

$$\left(9,11\right)$$

Answer

$$\left(4,7\right)$$

Answer

$$\left(1.5,1.5\right)$$

Answer

$$\left(4.5,6.5\right)$$

Answer

$$\left(7.5,10.5\right)$$

Question 14

Find the point P that partitions the line segment AB given the ratio.

A (3, 5) B(4, 3) with the ratio 3:1. What is the correct x₁

Accepted Answer

3

Answer

5

Answer

4

Answer

1

Question 15

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the perimeter (distance around) of the rectangle?

Accepted Answer

16 units

Answer

9 units

Answer

12 units

Answer

20 units

Question 16

What is the perimeter of the rectangle on the coordinate plane?

Accepted Answer

18 units

Answer

20 square units

Answer

14 units

Answer

25 square units

Question 17

You are building a patio in your school's courtyard, as shown in the diagram. Find the perimeter of the patio.

Accepted Answer

18

Answer

10

Answer

14

Answer

22

Applying Coordinates to Different Geometrical Scenarios

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