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Geometry 9-1 Reflection

Draw Reflections In The Coordinate Plane Reflections can be performed in the

coordinate plane. Each point of the image and its corresponding point on the preimage must be the same distance from the line of reflection. Explains what happens when the object is reflected over the following • To reflect a point in the x-axis, Order pair F ________ Order pair G ________ Order pair H ________ Order pair F’ ________ Order pair G’ ________ Order pair H’ ________

Draw a perpendicular from each vertex of the quadrilateral to m. Find vertices A', B', C', and D' that are the same distance from m on the other side

of m. The image is A' B' C' D'.

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9-1 cont. What is the pattern with the ordered pairs? • To reflect a point in the y-axis, Order pair F ________ Order pair G ________ Order pair H ________ Order pair F’ ________ Order pair G’ ________ Order pair H’ ________ What is the pattern with the ordered pairs? • To reflect a point in the line y = x,

Order pair F ________ Order pair G ________ Order pair H ________ Order pair F’ ________ Order pair G’ ________ Order pair H’ ________

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9-1 cont.

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Geometry 9-2 Translations

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9-2 cont.

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Geometry 9-3 Rotations

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9-3 cont.

Rotations in the Coordinate Plane: Complete the sketchpad activity and then write

down the pattern to find the coordinates for the rotation.

Rotation of 90 degrees

Rotation of 180 degrees

Rotation of 270 degrees

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Geometry 9-4 Composition of Transformations

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9-4 cont.

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9-4 cont.

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Geometry 9-5 Symmetry

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9-5 cont.

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Geometry 9-6 Dilation

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9-6 cont.

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9-6 cont.

Exercises Graph the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor.