Illustrative Mathematics - Geometry - Unit 7 - Lesson 3

The arc from A to B not passing through C measures 50 degrees. Select all the true statements.

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• {"blocks":[{"key":"f78dn","text":"Angle BCA measures 25 degrees.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":3,"style":"BOLD"},{"offset":6,"length":3,"style":"ITALIC"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"11tjj","text":"Angle BOA measures 50 degrees.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":3,"style":"BOLD"},{"offset":6,"length":3,"style":"ITALIC"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"4cv58","text":"The arc from B to C not passing through A measures 180 degrees.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":13,"length":1,"style":"BOLD"},{"offset":18,"length":1,"style":"BOLD"},{"offset":40,"length":1,"style":"BOLD"},{"offset":13,"length":1,"style":"ITALIC"},{"offset":18,"length":1,"style":"ITALIC"},{"offset":40,"length":1,"style":"ITALIC"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"9b7u3","text":"Angles CBO and CAO are congruent.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":7,"length":3,"style":"BOLD"},{"offset":15,"length":3,"style":"BOLD"},{"offset":7,"length":3,"style":"ITALIC"},{"offset":15,"length":3,"style":"ITALIC"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.C.2

G.CO.1

G.CO.12

Chords AC and DB intersect at point E. List 3 pairs of angles that must be congruent.

Tags

G.C.2

G.CO.1

G.CO.12

The image shows a circle with diameters AC and BD. Prove that chords BC and AD (not drawn) are congruent.

Tags

G.C.2

G.CO.1

G.CO.12