What is the area of trapezoid DEFG with coordinates D (2, 3), E (5, 3), F (3, 1), and G (2, 1)? 2 square units 3 square units 4 square units 8 square units

@AZ

Before we plot the points, do you know the formula for the area of a trapezoid?

no sir/ma'am/fam

I like to use images because it conveys it better than I could with just words and it's easier to get the point across

We have to average the two bases and multiply it by the height Now, let's plot our points

ok :)

You do know how to plot points on a graph, right?

ha, desmos is the best lol

Haha I was just about to send the same thing

desmos is awesome

anyway. Back to the teaching-

DE is 2 units long

GF is 1 unit

Let's draw in the sides so you can see the shape better

Can you tell me the length of the bases and what the height is? You just have to count the blocks in between the points

3 and 2

I think

What is what and we're missing one more value

Oh so 3 is the top, 2 is the height, and 1 is the bottom (idk math words)

We have two bases remember

Good! Yes

So now let's put those numbers into our formula \(\text{Area} = \dfrac{\text{Base}_1 + \text{Base}_2}{2} \times\text{Height}\)

the area would be 4 units?

3 and 1 are our two bases 2 is our height

Spot on!

woah I did that all mentally

am big brain

Well done :)

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