Question

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 1

YES

Step-by-step 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.