Question

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

Answer 1

When a triangle is rotated, it must be rotated through a center of rotation.

Assume the coordinate of LMN is

$\mathbf{L = (1,1)}$

$\mathbf{M = (1,7)}$

$\mathbf{N = (3,6)}$

The rule of 180-degree rotation is:

$\mathbf{(x,y) \to (-x,-y)}$

So, we have:

$\mathbf{L' = (-1,-1)}$

$\mathbf{M' = (-1,-7)}$

$\mathbf{N' = (-3,-6)}$

See attachment for the graphs of LMN and L'M'N

(a) Describe the transformation

When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'

(b) Lines LL' and MM'

The distance between point L and the center of origin is the same as the distance between point M' and the center of origin

Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin

(c) Line NN'

Line NN' will assume the same characteristics as lines LL' and MM'

Read more about transformations at:

brainly.com/question/11707700