Applying Coordinate Geometry

In the standard (x,y) coordinate plane, what is the midpoint of the line segment that has endpoints (-6,9) and (2,5)?

• (-4,-4)

• (-2,7)

• (4,-2)

• (8, -4)

Graphed in the standard (x,y) coordinate plane below is a right triangle with vertices (0,0), (-40,0), and (0,30). What is the length, in coordinate unites, of the hypotenuse of the triangle?

• 30

• 35

• 40

• 50

• 70

In the standard (x,y) coordinate plane, what is the slope of the line through (-6,4) and (1,3)?

Calculate the coordinates of A' after applying a scale factor of 1/2 if the center of dilation is @ (1, -2).

• (3, -5)

• (4, 3)

• (-1, -6)

• (-4, 0)

• A
• B
• C
• D

Dilate a figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)

• (20,12)

• (-20,-12)

• (-5,-3)

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

What scale factor was used to produce the image?

• 2

• -2

• ¹/₂

• 1

What scale factor was used to produce the image?

• 2.5

• 1.5

• 3.5

• 4