Question

quiz: translations, rotations and reflections
answer each question and be sure to show work when necessary.

1. which describes the transformation shown below?

a. translation left and up
b. rotation 180° clockwise
c. reflection over the x - axis
d. translation right and down

1. which rule best represents the transformation graphed below?

a. (x,y)→(-x,y)
b. (x,y)→(-y,x)
c. (x,y)→(-x,-y)
d. (x,y)→(y,-x)

1. which is not a true statement about the transformation shown below?

a. the two figures are congruent.
b. the pre - image is in quadrant i.
c. the orientation of the vertices stayed the same.
d. the transformation is a reflection.

1. which is not a true statement about the transformation below?

a. the image is in quadrant ii.
b. the two figures are congruent.
c. the pre - image was translated.
d. the orientation of the vertices

Explanation:

Step1: Analyze question 1

Observe the transformation in question 1. The figure moves down and to the right. Translation is a transformation that moves every point of a figure the same distance in the same direction.

Step2: Analyze question 2

Look at the coordinates of the pre - image and image in question 2. The transformation is a reflection over the y - axis. The rule for reflection over the y - axis is $(x,y)\to(-x,y)$.

Step3: Analyze question 3

In question 3, when a figure is reflected, the orientation of the vertices changes. Congruence is maintained in a reflection, and the pre - image is in Quadrant I.

Step4: Analyze question 4

In question 4, the pre - image is in Quadrant II and the image is in Quadrant IV. The transformation is a reflection across the y - axis, and the two figures are congruent, but the orientation of the vertices changes.

Answer:

1. D. Translation right and down
2. A. $(x,y)\to(-x,y)$
3. C. The orientation of the vertices stayed the same.
4. D. The orientation of the vertices