Respuesta :
Answer:
F(-7,3) -> F'(-7,-3)
G(2,6) -> G'(2,-6)
H(3,5) ->H'(3,-5)
Step-by-step explanation:
If you are taking point (a,b) and reflecting it across the x-axis (the horizontal axis), your x value is going to stay the same because you want the point on the same vertical line as (a,b). The y-coordinate is going to be opposite because you want a reflection and the opposite of b will this give you the same distance from the x-axis as b.
So the transformation is this: (a,b) -> (a,-b).
All this means is leave x the same and take the opposite of y.
F(-7,3) -> F'(-7,-3)
G(2,6) -> G'(2,-6)
H(3,5) ->H'(3,-5)
The coordinates of each vertex if the triangle is reflected over the x-axis are [tex]F'(-7,-3),G'(2,-6),H'(3,-5)[/tex].
Given:
The vertices of a triangle are [tex]F(-7,3),G(2,6),H(3,5)[/tex].
To find:
The coordinates of each vertex if the triangle is reflected over the x-axis.
Explanation:
If a triangle is reflected over the x-axis, then the rule of reflection is defined as:
[tex](x,y)\to (x,-y)[/tex]
Using this rule, we get
[tex]F(-7,3)\to F'(-7,-3)[/tex]
[tex]G(2,6)\to G'(2,-6)[/tex]
[tex]H(3,5)\to H'(3,-5)[/tex]
Therefore, the coordinates of each vertex if the triangle is reflected over the x-axis are [tex]F'(-7,-3),G'(2,-6),H'(3,-5)[/tex].
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