triangle ham is reflected over the y-axis using the rule (x, y) → (−x, y) to create triangle h′a′m′. if a line segment is drawn from point a to point a′, which statement would best describe the line segment drawn in relation to the y-axis?

they create concentric circles.
they are parallel to each other.
the y-axis is a bisector of the segment drawn.
the segment drawn and the y-axis are congruent to each other.

  The y-axis is a bisector of the segment drawn

Step-by-step explanation:

The segment connecting points reflected across a line will be bisected by the line of reflection.

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If reflection is across a point, that point will bisect the segment connecting the original and the image.

Reflection does not create circles.

A point and its reflection are on opposite sides of the line of reflection (the y-axis), so AA' cannot be parallel to the y-axis. AA' must cross the y-axis.

The only way that AA' will be anywhere near the y-axis is if A lies on the y-axis. Then AA' is a single point on the y-axis, not congruent with the entire y-axis.

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See the attached for an example of a point reflected across the y-axis.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d