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1 year ago

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

Mathematics

1 answer:

Tatiana [17]1 year ago

3 0

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)

<h3>How to fine the coordinates of the reflected image</h3>

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:

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