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kolbaska11 [484]
2 years ago
10

What reflection, or composition of reflections, always produces the same image as a rotation 180 degrees about the origin? a A r

eflection over the x-axis followed by a reflection of that image over the x-axis. b A reflection over a line that bisects the figure. c A reflection over the x-axis followed by a reflection of that image over the y-axis. d A reflection over the line y = x.
Mathematics
2 answers:
oksian1 [2.3K]2 years ago
8 0

Answer: The correct option is C

Step-by-step explanation:

A reflection over the x-axis followed by a reflection of that image over the y-axis

Some polygons have rotational symmetry, some have reflectional symmetry. If you rotate an object by 180 degrees, or reflect it in a suitable axis, you get back the same shape.

If you rotate a shape by 180 degrees, you get an upside down shape, not a reflected shape.

Do the reflection in x-axis followed by the reflection in the y-axis. You will discover that your new image will land on top of the original image.

Option d can only work if y = -x

 

sasho [114]2 years ago
3 0
C is the answer because of the rules of rotation and reflection. If you don't know these rules you may ask.
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