Find the coordinates of the vertices of the figure after a rotation of 180°.

Hey there! I'm happy to help!

First, let's see what the coordinates of each of these points are by counting the squares.

Vertex A is at (-3,-4).

Vertex B is at (1,-3).

Vertex C is at (1,1).

Whenever you rotate a figure 180° about the origin, you find the negative version of each number in the ordered pair. Basically (x,y) turns into (-x,-y) when you rotate a figure 180°.

Let's do this below!

A: (-3,-4)⇒(3,4)

B: (1,-3)⇒(-1,3)

C: (1,1)⇒(-1,-1)

These new coordinates match with the third option: A'(3,4), B'(-1,3), C'(-1,-1). Now you can find the coordinates of translated points!

I hope that this helps! Have a wonderful day!

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: