Point T T is located at ( − 1 , − 4 ) (−1,−4) on the coordinate plane. Point T T is reflected over the x x-axis to create point T ′ T ′ . Point T ′ T ′ is then reflected over the y y-axis to create point T ′ ′ T ′′ . What ordered pair describes the location of T ′ ′ ? T ′′ ?

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erinna erinna · Answer 1 · 2021-01-30T02:07:58+01:00

Given:

The point is located at (-1,-4).

Point T is reflected over the x-axis to create point T′.

Point T′ is then reflected over the y-axis to create point T′′.

To find:

The ordered pair describes the location of T''.

Solution:

We have, the given point T(-1,-4).

Point T is reflected over the x-axis to create point T′. So, the rule of reflection is

[tex](x,y)\to (x,-y)[/tex]

[tex]T(-1,-4)\to T'(-1,4)[/tex]

Point T′ is then reflected over the y-axis to create point T′′. So, the rule of reflection is

[tex](x,y)\to (-x,y)[/tex]

[tex]T'(-1,4)\to T''(1,4)[/tex]

Therefore, the ordered pair (1,4) escribes the location of T′′.