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 .

Learn more:

link

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 volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: