Question

A quadrilateral has vertices (0,0)
, (−8,0)
, (0,−6)
and (−8,−6)
Complete the equation with the vertical line of symmetry that will carry the quadrilateral onto itself.(1 point)

Answers

GPT 3.5
To find the equation of the vertical line of symmetry, we can compute the average of the x-coordinates of the opposite vertices of the quadrilateral.

The opposite vertices of the quadrilateral are (0, 0) and (-8, 0), which have x-coordinates of 0 and -8, respectively. The average of these x-coordinates is (0 + (-8)) / 2 = -4.

Therefore, the equation of the vertical line of symmetry is x = -4.
TheDarkArtist
Which statement best summarizes the rotations that turn a square onto itself?(1 point)
Responses

A square will rotate onto itself after 90-degree, 180-degree, 270-degree, and 360-degree rotations.
A square will rotate onto itself after 90-degree, 180-degree, 270-degree, and 360-degree rotations.

A square will rotate onto itself after a 180-degree rotation.
A square will rotate onto itself after a 180-degree rotation.

A square will rotate onto itself after a 90-degree or 180-degree rotation.
A square will rotate onto itself after a 90-degree or 180-degree rotation.

A square will rotate onto itself after a 90-degree rotation.
GPT 3.5
A square will rotate onto itself after a 90-degree, 180-degree, 270-degree, and 360-degree rotations.

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