Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 2

This diagram was created by starting with points A and B and using only straightedge and compass to construct the rest. All steps of the construction are visible. Describe precisely the straightedge and compass moves required to construct the line CD in this diagram.

Tags

G.CO.1

G.CO.12

G.CO.13

In the construction, A is the center of one circle, and B is the center of the other. Identify all segments that have the same length as segment AB.

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• {"blocks":[{"key":"0","text":"segement AE","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":9,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"segement BC","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":9,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"segement CD","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":9,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"lc69","text":"segement DE","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":9,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.1

G.CO.12

G.CO.13

This diagram was constructed with straightedge and compass tools. A is the center of one circle, and C is the center of the other. Select all line segments that must have the same length as segment AB.

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• {"blocks":[{"key":"0","text":"AC","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":0,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"BC","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":0,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"BD","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":0,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"2n81g","text":"CD","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":0,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.1

G.CO.12

G.CO.13

Clare used a compass to make a circle with radius the same length as segment AB. She labeled the center C. Which statement must be true?

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• {"blocks":[{"key":"0","text":"AB = CE","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":0,"length":2,"style":"BOLD"},{"offset":5,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"AB = CF","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":0,"length":2,"style":"BOLD"},{"offset":5,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"304m6","text":"AB = EF","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":0,"length":2,"style":"BOLD"},{"offset":5,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.1

G.CO.12

G.CO.13