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

Question

3 years ago

9

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.

Mathematics

2 answers:

Bogdan [553] · Answer 1 · 2022-11-08T06:28:49+03:00

Bogdan [553]3 years ago

8 0

Answer:

C. The y-axis is a bisector of the segment drawn.

Step-by-step explanation:

GuDViN [60] · Answer 2 · 2022-11-08T04:09:47+03:00

The statement that best describes the line segment drawn in relation to the y-axis is (c) the y-axis is a bisector of the segment drawn.

The transformation rule is given as:

$(x,y) \to (-x,y)$

When the triangle is reflected to form triangle H'A'M', the vertices of triangle H'A'M' would be:

$H'A'M' = (-x,y)$

So, the distance from point A to the y-axis is equidistant to the distance from point A' to the y-axis.

This, in other words means that the y-axis bisects the line segment AA'.

Hence, the relation between the segment and the y-axis is (c)