Atriangle has vertices at f (−7, 3), g (2, 6), and h (3, 5). what are the coordinates of each vertex if the triangle is reflected over the x axis?

The coordinates of each vertex if the triangle is reflected over the x-axis are .

Given:

The vertices of a triangle are .

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:

Using this rule, we get

Therefore, the coordinates of each vertex if the triangle is reflected over the x-axis are .

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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)

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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