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The quilt shown has a border made of right triangles and trapezoids. a. Graph one triangle with vertices at D(-4,0), E(0,0), and F(0, -8). To locate Reflect ADEF across the y-axis to form D'E'F'. • Translate D'E'F' 8 units up to form D"E"F". Is DEF the same size and shape as D"E"F"? Show your work.

Answer :

ANSWER

YES

EXPLANATION

We have to take a quilt as a graph sheet.

We will draw the x and y axes on it.

We have that DEF is gotten by placing points:

D = (-4, 0)

E = (0, 0)

F = (0, -8)

Let us place those on the graph:

Now, to get D'E'F', reflect DEF across the y axis. That means that:

D' = (4, 0)

E' = (0, 0)

F' = (0, -8)

Now, to get D"E"F", we translate D'E'F' 8 units up.

That means we add 8 to the values of y:

D" = (4, 8)

E" = (0, 8)

F" = (0, 0)

As we can see from the diagrams, D'E'F' and D"E"F" are the same size, since none of the transformations changed their sizes only their positions.

View image FaithlynnT448575
View image FaithlynnT448575
View image FaithlynnT448575

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