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Triangle ABC is shown below: Triangle ABC is shown. A is at 2, 1. B is at negative 1, 4. C is at 3, 7. If triangle ABC is reflected over the x-axis, which of the following shows the coordinates for point B'?

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Answer

Coordinates of point B':

B' = (-1, -4)

Explanation

To reflect a point or a figure across the x-axis we use the rule:

[tex](x,y)[/tex]→[tex](x,-y)[/tex]

In other words, we multiply the y-coordinate of our points by -1, while leaving the original x-coordinate as it is.

Let's apply the rule to every point of our triangle :

A = (2, 1)

A' = (2, 1*-1) = (2, -1)

B = (-1, 4)

B' = (-1, 4*-1) = (-1, -4)

C = (3, 7)

C' = (3, 7*-1) = (3, -7)


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Answer:

 B'( -1 , -4).

Step-by-step explanation:

Given : Triangle ABC is shown. A is at 2, 1. B is at negative 1, 4. C is at 3, 7. If triangle ABC is reflected over the x-axis,

To find :  which of the following shows the coordinates for point B'.

Solution : We have given A (2,1 )

B ( -1,4)

C(3,7)

If it is reflected over x axis then,

By the reflection over x axis rule (x , y) →→→→( x , -y).

Then , B(-1 , 4) →→→→ B'( -1 , -4).

Therefore,  B'( -1 , -4).