Distance and Reflections in Coordinate Planes

Which pair of points are exactly 6 units apart?

• Points A and D

• Points D and C

• Points A and C

• Points B and D

The mall is located at a point on the coordinate plane with the same y-coordinates as the post office with the opposite x-coordinate.  The mall and the post office are reflections of each other across which axis?

• y-axis

• Origin

• x-axis

• Quadrant II

At a gym, the swimming pool is located at (-3, -5).  The track is located at (-3, 2).  What is the distance between them?

• 3 units

• 6 units

• 7 units

• 8 units

On a map of Clarksville Montgomery Count, the police station is located at (-4, -2).  The dentist is located at (3, -2)  What is the distance between them.

• 7 units

• 1 unit

• 8 units

• 9 units

• (8,-2)

• (6,8)

• (0,0)

• (7,4)

• (-3,7)

• (5,5)

• (2,9)

• (4,4)

• (8,-2)

• (6,8)

• (0,0)

• (7,4)

• (-3,7)

• (5,5)

• (2,9)

• (4,4)

The triangle is reflected over the line y=x and then rotated 90 clockwise around the origin. Find the final coordinates for L''.

• (1,-2)

• (1,2)

• (-1,-2)

• (-2,-1)

• reflected

• x-axis

• 3

• right

Triangle ABC is reflected over the x-axis, rotated 270 degrees clockwise around the origin, and reflected over y= -x. What is the quadrant of the final image?

• I

• II

• III

• IV