Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 22

This design began from the construction of a regular hexagon. Name 2 pairs of congruent figures.

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This design began from the construction of a regular hexagon. Describe a rigid motion that will take the figure to itself.

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In the image, triangle ABC is congruent to triangle BAD and triangle CEA. What are the measures of the 3 angles in triangle? Show or explain your reasoning.

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In this diagram, point M is the midpoint of segment AC and B' is the image of B by a rotation of 180° around M.Explain why rotating 180° using center M takes A to C.Explain why angles BAC and B'CA have the same measure.

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Lines AB and BC are perpendicular. The dashed rays bisect angles ABD and CBD.

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• {"blocks":[{"key":"0","text":"Angle CBE is obtuse","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Angle ABC is congruent to angle EBF","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":3,"style":"BOLD"},{"offset":32,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Angle DBC is congruent to angle EBF","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":3,"style":"BOLD"},{"offset":32,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
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Lines AD and EC meet at point B. Give an example of a rotation using an angle greater than 0 degrees and less than 360 degrees, that takes both lines to themselves. Explain why your rotation works.

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Draw the image of figure CAST after a clockwise rotation around point T using angle CAS and then a translation by directed line segment AS.Describe another sequence of transformations that will result in the same image.

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G.CO.1

G.CO.12

G.CO.13