Question

Graph the polygon with the given vertices and its image after a reflection in the given line.

Answer 1

The coordinates of the image after reflection over line y = 1 is

preimage         Image

J(2, 4                J' (2. -2)

K(-4,-2)              K' (-4. 4)

L( − 1, 0)             L' (-1, 2)

How to fine the coordinates of the reflected image

Reflection is one of the movements in transformation that involve creation of mirror image

The reflection to be done is over line y = 1

Transformation rule for reflection over line y at origin (0, 0)) is

(x, y) → (x, -y)

However, reflection over line y = 1 which is (0, 1) is  done as follows

J(2, 4) ⇒ (2, 4 - 1) ⇒ (2, 3) ⇒ (2, 1 - 3) → J' (2, -2)

from 4 to 1 = 4 - 1 = 3 units

reflecting 3 units over y = 1

1 - 3 = -2

J' (2, -2)

K(-4,-2) ⇒ (-4, -2 - 1) ⇒ (-4, -3) ⇒ (-4, 1 - -3) ⇒ K' (-4, 4)

from -2 to 1 = -2 - 1 = -3 units

reflecting -3 units over y = 1

1 - -3 = 4

K' (-4, 4)

L (-1, 0) ⇒ (-1, 0 - 1) ⇒ (-1, -1) ⇒ (-1, 1 - - 1) ⇒ L' (-1, 2')

from 0 to 1 = 0 - 1 = -1 unit

reflecting -1 unit over y = 1

1 - -1 = 2

L' (-1, 2)

see graph for more information

Learn more about transformation here:

brainly.com/question/29351187

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