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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8.
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.
a.
In a reflection, pairs of corresponding points lie on parallel lines.
True or False?
b.
In a translation, pairs of corresponding points are on parallel lines.
True or False?
c.
In a rotation, pairs of corresponding points are on parallel lines.
True or False?
d.
In a reflection, pairs of corresponding points lie on segments perpendicular to the line of reflection.
True or False?
e.
In a rotation, pairs of corresponding points lie on concentric circles.
True or False?
f.
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!
9.
Translate the grasshopper right
10.
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