Question

correctly select the statement that best represents the figures on the graph.
#6. the pre - image is in quadrant iii.
#7. the orientation of the vertices changed.
#8. the reflection can be represented by ((-x,y)).
#9. the line of reflection is the x - axis.
#10. the pre - image and image are congruent.

Explanation:

1. #6: The pre-image (ABCD) is in Quadrant I, not III. This is false.
2. #7: Reflection flips the figure, reversing the order of vertices (orientation). This is true.
3. #8: The transformation from (x,y) to (-x,y) reflects over the y-axis, which matches the graph (x-coordinates are negated, y stay same). This is true.
4. #9: Reflection over the x-axis uses (x,-y), which does not match the graph. This is false.
5. #10: Reflections preserve size and shape, so pre-image and image are congruent. This is true.

Answer:

#6. ❌
#7. ✅
#8. ✅
#9. ❌
#10. ✅