Question

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line y = –x?

(–1, –3)
(3, –1)
(1, 3)
(–3, 1)

Answer 1

Answer:

B. (3, -1)

Step-by-step explanation: I got a 100 on the test

The rule for a reflection across line y = -x: (x, y) → (-y, -x)

F(1, -3) → F'(3, -1)

Answer 2

The answer would be option B (3, –1).

What is Parallelogram?

A parallelogram defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.

Coordinates of the vertices of a parallelogram are,

E(-3, -5), F(1, -3), H(2, -5), G(-2, -3)

Equation of a line about which this parallelogram was reflected is, y = -x

The rule for a reflection across line y = -x: (x, y) → (-y, -x)

That means when a point (x, y) is reflected across the line y = x, we find a new point (-y, -x)

By this rule new point by reflecting point F will be,

F(1, -3) → F'(3, -1)

Therefore, Option (B) will be the answer.

Learn more about parallelogram here:

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