Write a rule for the composition (sequence) of a reflection in the x-axis following a translation of 7 units to the left and 3 units up.

Choose:

Given rectangle MULE:
M(1,2), U(1,5), L(8,5), E(8,2)
a) Graph and label the following composition (sequence):
     
b) What single transformation accomplishes      these same transformations?

Solution

Triangle ABC has vertices A(-1,1), B(2,3) and C(-1,-4). Which composition (sequence) of transformations will move vertex B to the point (-2,5)?
Choose:

All of these compositions (sequences).

Given the graph at the right with
B(-6,1), U(-3,7), G(-2,1) and
B'(0,-6), U'(6,-3), G'(0,-2).

Describe a sequence of transformations that was used to carry ΔBUG onto ΔB'U'G'.

A double reflection occurs on the point S(-4,3) over the line x = -2, followed by the line x = 8. What is the distance between the pre-image and the image of point S?
Choose:

8 units

10 units

12 units

20 units

You are a contestant on the TV show "Whodunit". You are searching for a key to unlock a "Safe Card" that will save you from being killed on this week's episode. The writer for this week's show is a mathematician! Your clues relate to a coordinate map. What are the coordinates for the location of the key?

Here are the three clues you have found:

ΔA''B''C'' is a glide reflection of ΔABC, as shown in the graph at the right. Which statement represents the glide reflection in this situation?

Choose:

Point A is mapped to point A' (-1,4) after a translation of (x, y) → (x - 4, y + 1) following a reflection over y = 4.
What are the coordinates of A?

Choose:

(3,3)

(3,5)

(1,3)

(3,-1)

Which composition of transformations will map ΔABC onto ΔA'B'C' ?
Dilations and rotations are centered at the origin.
Choose: