Question

1. tarik is working on a photo album and moved a photo as shown. what transformation did he use? use the information to answer problems 5 - 6. ryan lays a pentagonal pattern on a piece of fabric. 5. if ryan slides the pattern two inches to the right, what happens to the measure of the angles of the pentagon? 6. ryan decides to rotate the pattern one - fourth turn clockwise. what happens to the lengths of the sides of the pattern? 7. reason beckie cuts out a piece of paper in the shape of a trapezoid with only one pair of parallel sides. the parallel sides are 2 inches apart. then she flips the shape over. what is the distance between the parallel sides of the flipped shape? explain how you know. 8. reason is figure b a transformation of figure a? why or why not? 9. reason is figure y a transformation of figure x? why or why not?

Explanation:

Step1: Identify transformation in problem 4

The photo is moved without rotation or reflection, so it's a translation.

Step2: Analyze effect in problem 5

Sliding (translation) a pentagonal pattern doesn't change angle - measures. Angles remain the same.

Step3: Analyze effect in problem 6

Rotating a pattern is a rigid - motion. Side - lengths remain the same.

Step4: Analyze problem 7

Flipping (reflection) a trapezoid is a rigid - motion. Distance between parallel sides is invariant. It remains 2 inches.

Step5: Analyze problem 8

Figure B has the same shape and size as Figure A, just in a different position. It is a transformation (translation).

Step6: Analyze problem 9

Figure Y has a different shape from Figure X. It is not a transformation of Figure X.

Answer:

1. Translation
2. The measure of the angles remains the same.
3. The lengths of the sides remain the same.
4. 2 inches. Flipping (reflection) is a rigid - motion, and distance between parallel sides doesn't change.
5. Yes, it is a transformation (translation).
6. No, Figure Y has a different shape from Figure X.