Question

Please answer quickly, I need to get this done. I'll mark brainliest.

Answer the questions by drawing on the coordinate plane below.

(a) Draw the image of ▲JKL after a rotation of 90° counterclockwise about the origin. Label the image ▲J"K"L".

(b) Draw the image of ▲JKL after a reflection across the y-axis. Label the image ▲J"K"L".

Answer 1

J (-4, 1), K (-4, -2), L (-3, -1)

(a) To rotate a point 90° counterclockwise about the origin, multiply the y-coordinate by -1 and then interchange the z- and y- coordinates.

(x, y)'' = (-y, x)

Substitute all of J (-4, 1), K (-4, -2), L (-3, -1) for (x, y)

Solution:

J'' = J (-4, 1) × (x, -1) = (-4, -1)

K'' = K (-4, -2) × (x, -1) = (-4, 2)

L'' = L (-3, -1) × (x, -1) = (-3, 1)

J'' (-1, -4), K'' (2, -4), L'' (1, -3)

Image ▲J"K"L": Look at the first attached picture.

(b) To reflect a point in the y-axis, we multiply its x-coordinate by -1.

Substitute all of J (-4, 1), K (-4, -2), L (-3, -1) for (x, y)

Multiplying by -1:

J'' = J (-4, 1) × (-1, y) = (4, 1)

K'' = K (-4, -2) × (-1, y) = (4, -2)

L'' = L (-3, -1) × (-1, y) = (3, -1)

J'' (4, 1), K'' (4, -2), L'' (3, -1)

Image ▲J"K"L": Look at the second attached picture.