Points on a Circle and Partitioning a Directed Line Segments

A circle has the equation  $\left(x+2\right)^2+\left(y+2\right)^2\ =25$  . Which of the following is a point on the line? 

•  $\left(-6,\ 1\right)$  

•  $\left(-4,\ 2\right)$  

•  $\left(0,\ 2\right)$  

•  $\left(2,\ -2\right)$  

Tags

CCSS.HSG.GPE.A.1

A circle has a center at $\left(4,\ -1\right)$ and a radius of 6. Select all of the following that are points on the same circle.

• $\left(-2,-1\right)$

• $\left(4,\ -7\right)$

• $\left(0,\ -5\right)$

• $\left(8,\ -5\right)$

• $\left(10,\ -1\right)$

Tags

CCSS.HSG.GPE.A.1

A circle has a center at (1, 1). The diameter is 6. Which of the following points is a point on the circle?

• $\left(0,\ -1\right)$

• $\left(-1,\ 3\right)$

• $\left(4,\ 1\right)$

• $\left(3,\ 3\right)$

Tags

CCSS.HSG.GPE.A.1

A circle is modeled by the equation $\left(x-3\right)^2+\left(y\ +3\right)^2\ =\ 25$  .
Which of the following are also points on the circle. 

•  $\left(7,\ 0\right)$  

•  $\left(5,\ 2\right)$  

•  $\left(-1,\ 0\right)$  

•  $\left(0,\ -7\right)$  

•  $\left(3,\ -8\right)$  

Tags

CCSS.HSG.GPE.A.1

A circle has center $\left(4,\ -2\right)$  and a diameter of 14. Which of the following points is also a point on the circle.

•  $\left(8,\ 4\right)$  

•  $\left(11,\ -2\right)$  

•  $\left(7,\ -8\right)$  

•  $\left(-3,\ -3\right)$  

Tags

CCSS.HSG.GPE.A.1

6) The ratio is 3:1. How many parts are there?

• 2

• 3

• 4

• 5

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

• (7,9)

• (9,7)

• (-3,9)

• (5,1)

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.

In the above problem, what is the value of a/(a+b)?

• 1/3

• 1/4

• 3/1

• 3/4

Tags

CCSS.HSG.GPE.B.6

Given the points A(-2 4) and B(7, -2), find the coordinates of the point P on directed line segment AB in the ratio 1:2.

The coordinates for point P are:

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

Tags

CCSS.HSG.GPE.B.6

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:

• (1,5)

• (0,4)

• (3, 1)

• (-1, 1)

Tags

CCSS.HSG.GPE.B.6