Question

describing single rigid transformations in the coordinate plane
for problems 1 - 4, write the single transformation that maps each lettered figure onto its prime - lettered image.
5 figure abcde is transformed in the coordinate plane to form the image abcde. label the vertices of abcde, and tell what single transformation was used.

Explanation:

Step1: Analyze transformation of A to A'

Observe the orientation and position change. Figure A is reflected over the y - axis to get A'.

Step2: Analyze transformation of D to D'

Check the vertical movement. Figure D is translated 6 units down to get D'.

Step3: Analyze transformation of C to C'

Note the horizontal movement. Figure C is translated 6 units to the right to get C'.

Step4: Analyze transformation of B to B'

Look at the rotation and position. Figure B is rotated 180° about the origin to get B'.

Step5: Analyze transformation for ABCDE

Examine the orientation and position. The figure ABCDE is reflected over the y - axis to get A'B'C'D'E'.

Answer:

1. Reflection over the y - axis
2. Translation 6 units down
3. Translation 6 units to the right
4. Rotation 180° about the origin
5. Reflection over the y - axis