# Lesson 1 Leaping Lizards! Develop Understanding

For each of the right triangles, determine the measure of the missing side. Leave the measures in exact form if irrational.

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Use the images and pre-images of the insects on the grids shown to answer the problems. You may sketch on the grids to show attributes of the transformation to assist yourself in the work.

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Name the single transformation that can be used to carry the pre-image to the image for each pair of insects.

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Consider the connection between corresponding points for each of the transformations, to visualize the pathway the points might follow between image and pre-image, which of the following statements are true and which are false. Draw a sketch to accompany your response.

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In a reflection, pairs of corresponding points lie on parallel lines.

True or False?

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In a translation, pairs of corresponding points are on parallel lines.

True or False?

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In a rotation, pairs of corresponding points are on parallel lines.

True or False?

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In a reflection, pairs of corresponding points lie on segments perpendicular to the line of reflection.

True or False?

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In a rotation, pairs of corresponding points lie on concentric circles.

True or False?

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In a translation, pairs of corresponding points lie on concentric circles.

True or False?

Perform each of the transformations as described. Focus on anchor points!

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Translate the grasshopper right

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Reflect the ant over the line

Graph each function on the coordinate grid provided.

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State at least one similarity and one difference between the functions

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State at least one similarity and one difference between the functions

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State at least one similarity and one difference between the functions