Illustrative Mathematics - Geometry - Unit 7 - Lesson 5

Noah says, “I constructed 2 perpendicular bisectors of triangle ABC. That means the point where they intersect is the circumcenter!” Andre responds, “No, we still need to check the third perpendicular bisector to make sure it intersects at the same point.”Do you agree with either of them? Explain or show your reasoning.

Tags

G.CO.9

G.C.3

G.CO.10

G.CO.12

The dotted line is the perpendicular bisector of side AB. The distance between points E and A is 7 units. What is the distance between points E and B? Explain or show your reasoning.

Tags

G.CO.9

G.C.3

G.CO.10

G.CO.12

Construct the circumcenter of each triangle. Then, based on the locations of the circumcenters, classify each triangle as acute, right, or obtuse.

Tags

G.CO.9

G.C.3

G.CO.10

G.CO.12

Select all quadrilaterals that cannot be cyclic

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• a 2 inch by 4 inch rectangle
• a rhombus with side length 5 centimeters and angle measures 20 degrees and 160 degrees
• {"blocks":[{"key":"d70sm","text":"quadrilateral ABCD in which angle A is 62 degrees, angle B is 97 degrees, angle C is 118 degrees, and angle Z is 83 degrees","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":14,"length":4,"style":"BOLD"},{"offset":34,"length":1,"style":"BOLD"},{"offset":57,"length":1,"style":"BOLD"},{"offset":80,"length":1,"style":"BOLD"},{"offset":108,"length":1,"style":"BOLD"},{"offset":14,"length":4,"style":"ITALIC"},{"offset":34,"length":1,"style":"ITALIC"},{"offset":57,"length":1,"style":"ITALIC"},{"offset":80,"length":1,"style":"ITALIC"},{"offset":108,"length":1,"style":"ITALIC"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"dipue","text":"quadrilateral WXYZ in which angle W is 45 degrees, angle X is 135 degrees, angle Y is 90 degrees, and angle Z is 90 degrees","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":14,"length":4,"style":"BOLD"},{"offset":34,"length":1,"style":"BOLD"},{"offset":57,"length":1,"style":"BOLD"},{"offset":81,"length":1,"style":"BOLD"},{"offset":108,"length":1,"style":"BOLD"},{"offset":14,"length":4,"style":"ITALIC"},{"offset":34,"length":1,"style":"ITALIC"},{"offset":57,"length":1,"style":"ITALIC"},{"offset":81,"length":1,"style":"ITALIC"},{"offset":108,"length":1,"style":"ITALIC"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.9

G.C.3

G.CO.10

G.CO.12

What is the measure of angle YXZ?

Tags

G.CO.9

G.C.3

G.CO.10

G.CO.12