Question

question 6 (multiple choice worth 1 points) (02.01r mc) which series of transformations will not map figure h onto itself? (x + 0, y - 2); reflection over y = 1 (x + 2, y - 0); reflection over x = 3 (x + 3, y + 3); reflection over y = -x + 7 (x - 3, y - 3); reflection over y = -x + 2

Explanation:

Step1: Analyze option A

Translation $(x + 0,y - 2)$ moves figure H down 2 units. Reflection over $y = 1$ will move it back up to its original position.

Step2: Analyze option B

Translation $(x+2,y - 0)$ moves figure H 2 units to the right. Reflection over $x = 3$ will move it back to its original position.

Step3: Analyze option C

Translation $(x + 3,y+3)$ moves figure H. The line $y=-x + 7$ has a slope of - 1. After translation, reflection over $y=-x + 7$ maps the figure back to itself.

Step4: Analyze option D

Translation $(x - 3,y - 3)$ moves the figure. For the line $y=-x + 2$ with slope - 1, this combination of translation and reflection will not map figure H onto itself.

Answer:

D. $(x - 3,y - 3)$; reflection over $y=-x + 2$