if you reflect fgh across the y-axis, what will be the coordinates of the vertices of the image f'g'h'

Mathematics

2 answers:

k0ka [10]3 years ago

6 0

When you reflect FGH across the y-axis, you are left with the vertices of F'G'H at (2, -1) (-2, 2) (-4, -3)
The correct answer is b.

Hope this helps =)

Anarel [89]3 years ago

6 0

The answer is b.........................

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inna [77]

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$2m$

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

$A = \frac{1}{2}bh$

They give us the area as $6m^2$ , so let's include it in the equation.

$6 = \frac{1}{2}bh$

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that $h = b-4$

So replace $h$ in the equation with $b-4$ .

You will now get:

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Now we can work towards solving. Let's get simplifying.

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We get that $b=6$ .

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that $h = b - 4$ , so to find h, we just sub in our b value into that.