Question

WILL MARK BRAINYIEST

Lia claims that a reflection over they-axis will always carry a circle drawn on the coordinate plane to a circle with the same center and the same radius. Which statement best describes Lia's claim?
A
Lia is correct as a reflected circle will always have the same center and always have the same radius as the original circle.

B
Lia is incorrect as a reflected circle will not always have the same radius and will not always have the same center as the original circle.

C
Lia is correct in stating that the reflected circle will always have the same radius, but is incorrect in stating that the reflected circle will always have the same center.

D
Lia is incorrect in stating that the reflected circle will always have the same radius, but is correct in stating that the reflected circle will always have the same center.

Answer 1

Answer:

c

is the right answer thanks you

Answer 2

C .

Lia is correct in stating that the reflected circle will always have the same radius, but is incorrect in stating that the reflected circle will always have the same center.

Step-by-step explanation:

• Lia is correct in stating that the circle will have the same radius because reflection about y-axis is a process of point to point reflection and no scaling of the dimensions occurs during the process.

• For the circle the reflection about y-axis will change only the x-coordinates of the corresponding points.

• Hence we get a new center with change in x-coordinate but since there is no scaling of dimensions so the radius remains the same.

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TOPIC: geometric reflections

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