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

Mathematics

1 answer:

jonny [76]3 years ago

5 0

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!

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