Illustrative Mathematics - Geometry - Mathematics - Unit 2 - Lesson 5

Write a sequence of rigid motions to take figure ABC to figure DEF.

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G.CO.6

G.CO.1

Prove the circle centered at A is congruent to the circle centered at C.AB = CD

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G.CO.6

G.CO.1

Triangle HEF is the image of triangle HGF after a reflection across line FH. Write a congruence statement for the 2 congruent triangles.

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G.CO.6

G.CO.1

Triangle ABC is congruent to triangle EDF. So, Lin knows that there is a sequence of rigid motions that takes ABC to EDF. Select all true statements after the transformations:

• {"blocks":[{"key":"0","text":"Angle A coincides with angle F.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":1,"style":"BOLD"},{"offset":29,"length":1,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Angle B coincides with angle D.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":1,"style":"BOLD"},{"offset":29,"length":1,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Angle C coincides with angle E.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":1,"style":"BOLD"},{"offset":29,"length":1,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Segment BA coincides with segment DE.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":8,"length":2,"style":"BOLD"},{"offset":34,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"a31su","text":"Segment BC coincides with segment FE.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":8,"length":2,"style":"BOLD"},{"offset":34,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

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G.CO.6

G.CO.1

This design began from the construction of a regular hexagon. Is quadrilateral JKLO congruent to the other 2 quadrilaterals? Explain how you know.

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G.CO.6

G.CO.1