Coordinate Geometry

Which point in the standard (x, y) coordinate plane below has the coordinates (-3, 5)?

• A

• B

• C

• D

• E

Tags

CCSS.6.NS.C.6B

In the standard (x, y) coordinate plane shown below, what is the distance in the x direction, in units, from point A to point B?

• 5

• 4

• 3

• -3

• -5

Tags

CCSS.6.NS.C.8

In 3-dimensional space, the set of all points 12 units from the origin is:

• a circle

• a sphere

• a line

• a cylinder

• 2 parallel lines

How many ordered pairs (x, y) of real numbers will satisfy the equation 2x – 5y = 6?

• 0

• 1

• 2

• 3

• Infinitely Many

Tags

CCSS.8.EE.C.8B

Which of the following shaded regions is the graph in the standard (x,y) coordinate plane of the points that satisfy the inequality 

 $\left|y\right|\le10$  ?

• 
• 
• 
• 
• 

What is the distance, in units, between the points with standard (x, y) coordinates (4, 3) and (6, -2)?

• 
  

  $\sqrt{5}$
  

• $\sqrt{29}$

• $\sqrt{34}$

• $6$

• $\sqrt{39}$

Tags

CCSS.HSG.GPE.B.7

One endpoint of a diameter of a circle with center (2,-3) has coordinates (4,-2) in the standard (x, y) plane. What are the coordinates of the other endpoint of that diameter?

• $\left(2\ +\ \sqrt{5},\ -3\ +\ \sqrt{5}\right)$

• $\left(2-\sqrt{5},\ -3\ -\ \sqrt{5}\right)$

• $\left(0,\ -4\right)$

• $\left(1.\ -5\right)$

• $\left(6,\ -1\right)\$

Tags

CCSS.HSG.GPE.B.6

A parabola can be defined as the set of points equidistant from a focus point and a directrix line. What is the distance, in units, between the focus F and the point P that are graphed in the standard (x, y) coordinate plane below?

• 
  

  $4$
  

• $2\sqrt{5}$

• $6$

• $4\sqrt{5}$

• $20$

Tags

CCSS.HSG.GPE.A.2

Points A, B, and C all lie on the same line with B between A and C. The distance from A to B is 4 times the distance from B to C. The (x, y) coordinates of A are (2,-3) and the (x, y) coordinates of B are (-6, 1). What are the (x, y) coordinates of C?

• (4, 1)

• (4, -4)

• (0, 2)

• (-4, 0)

• (-8, 2)

Tags

CCSS.HSG.GPE.B.6

In the standard (x, y) coordinate plane below,  $\Delta$  POQ and  $\Delta$  SRQ are isosceles right triangles with equal areas. Points O, P, Q, and R are located on the axes as shown. Which of the following could be the coordinates of point S?

• (0, 14)

• (7, 0)

• (7, 14) 

• (14, 0) 

• (14, 7) 

Tags

CCSS.HSG.GPE.B.7