Which of the following transformations describes the pair of figures?


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The figure below shows one side of an incomplete quadrilateral. Draw a line from point A and from point C to one of the black dots to create a quadrilateral that is symmetric across the dotted line.

What is the least angle measure the figure can be rotated by so that it maps onto itself?

Reflect each of the following points across the line y = x and put the resulting image points on the coordinate grid below.

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What would be the coordinates for the image of point A if the pre-image has the coordinates (-8, 9)? The line of reflection is y = x.

What would be the coordinates for the image of point A if the pre-image has the coordinates (-8, 9)? The line of reflection is the x-axis.

What would be the coordinates for the image of point A if the pre-image has the coordinates (-8, 9)? The line of reflection is the y-axis.


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Still need more practice? You can go to these links for additional practice:
https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-symmetry/e/symmetry-of-two-dimensional-shapes
https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-symmetry/e/rotational-symmetry-of-2d-shapes
https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-symmetry/v/reflecting-across-two-lines
You may also find these video links helpful:
https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-symmetry/v/axis-of-symmetry
https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-symmetry/v/example-rotating-polygons
https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-symmetry/v/constructing-quad-based-on-symmetry