Graph a triangle (LMN) and rotate it 180° around the origin to create triangle L′M′N′. Describe the transformation using words.

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3 years ago

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Graph a triangle (LMN) and rotate it 180° around the origin to create triangle L′M′N′. Describe the transformation using words.

Make sure you refer to the characteristics and the coordinates. Draw a line through points L and L′ and through M and M′. What do you notice about the lines you drew? Do you think you would notice the same characteristics if you drew another line through points N and N′? How do you know?

Mathematics

1 answer:

marshall27 [118] · Answer 1 · 2023-01-29T00:03:23+03:00

The lines through L & L' and M & M' pass through the center of origin.

<h3>How to transform the triangle?</h3>

we will use the following coordinates to make a figure;

L = (1,2)

M = (5,-4)

N = (7, 8)

When rotated by 180 degrees around the origin, we get

(x,y) ⇒ (-x,-y)

This gives

L' = (-1,-2)

M; = (-5,4)

N = (-7, -8)

Next, we will draw the triangle, its image when rotated by 180 degrees around the origin, and two lines.

The lines through points L and L' and through M and M'.

From the graph, we can see that the lines through L & L' and M & M' pass through the origin.

This will be the same when the line is drawn through points N and N' because the points are equally rotated 180 degrees around the origin.