HG U6D3 Inscribed Polygons Oct31

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Angle Game: Find as many angles as you can.

Click on the link and explore. 
www.geogebra.org/classic/nkwarEsv

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In the GeoGebra, move D around the circle. What changes?

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In the GeoGebra, move D around the circle. What stays the same?

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How do you locate the exact center of a circle?

The image shows a quadrilateral circumscribed by a circle. 

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Highlight the arc from S to Q passing through P.

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The measure of the arc you highlighted is _______o. 

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The measure of the other arc, from S to Q, is _______o. 

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The image shows a quadrilateral circumscribed by a circle. 

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Highlight the arc from S to Q passing through P.

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The measure of the arc you highlighted is _______o. 

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The measure of the other arc, from S to Q, is _______o. 

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The image shows a quadrilateral circumscribed by a circle. 

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Highlight the arc from S to Q passing through P.

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The measure of the arc you highlighted is _______o. 

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The measure of the other arc, from S to Q, is _______o. 

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Here is another quadrilateral with a circumscribed circle. 
What is the value of x + y?
x + y = _______o. 

Explore
Can you construct a circle to inscribe the quadrilateral?
Click on the link and try it.
www.geogebra.org/classic/zykxkj5c

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A quadrilateral ABCD has the given angle measures. Select all measurements which could come from a cyclic quadrilateral.

Quadrilateral ABCD is cyclic with given angle measures.

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The measure of angle C is _______o. 

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The measure of angle D is _______o. 

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Line AC is tangent to the circle centered at O with radius 3 units. The length of segment AC is 4.5 units. Find the length of segment AB. Round your answer to the nearest tenth.
AB = _______ 

Use the figure to solve for x and y.

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x = _______o 
y = _______o 

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Do you agree with Lin? Explain or show your reasoning.

Use the figure to solve for x, y and z.

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x = _______o 
y = _______o 
z = _______o 

Use the figure to solve for x and y.

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x = _______o 
y = _______o 

In the diagram, the measure of angle ACB is 43 degrees.
 What is the measure of angle AOB?

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The measure of angle AOB is _______o. 

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Which statement must be true?

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HG U6D3 Inscribed Polygons Oct31

Angle Game: Find as many angles as you can.

In the GeoGebra, move D around the circle. What changes?

In the GeoGebra, move D around the circle. What stays the same?

How do you locate the exact center of a circle?

Highlight the arc from S to Q passing through P.

Highlight the arc from S to Q passing through P.

Highlight the arc from S to Q passing through P.

A quadrilateral ABCD has the given angle measures. Select all measurements which could come from a cyclic quadrilateral.

Do you agree with Lin? Explain or show your reasoning.

Which statement must be true?

A circle and line are drawn.
How many intersection points are possible? Select all possible answers.

Angle Game: Find as many angles as you can.

In the GeoGebra, move D around the circle. What changes?

In the GeoGebra, move D around the circle. What stays the same?

How do you locate the exact center of a circle?

Highlight the arc from S to Q passing through P.

Highlight the arc from S to Q passing through P.

Highlight the arc from S to Q passing through P.

A quadrilateral ABCD has the given angle measures. Select all measurements which could come from a cyclic quadrilateral.

Do you agree with Lin? Explain or show your reasoning.

Which statement must be true?

A circle and line are drawn.
How many intersection points are possible? Select all possible answers.

HG U6D3 Inscribed Polygons Oct31

HG U6D3 Inscribed Polygons Oct31

Angle Game: Find as many angles as you can.

In the GeoGebra, move D around the circle. What changes?

In the GeoGebra, move D around the circle. What stays the same?

How do you locate the exact center of a circle?

Highlight the arc from S to Q passing through P.

Highlight the arc from S to Q passing through P.

Highlight the arc from S to Q passing through P.

A quadrilateral ABCD has the given angle measures. Select all measurements which could come from a cyclic quadrilateral.

Do you agree with Lin? Explain or show your reasoning.

Which statement must be true?

A circle and line are drawn. How many intersection points are possible? Select all possible answers.

Angle Game: Find as many angles as you can.

In the GeoGebra, move D around the circle. What changes?

In the GeoGebra, move D around the circle. What stays the same?

How do you locate the exact center of a circle?

Highlight the arc from S to Q passing through P.

Highlight the arc from S to Q passing through P.

Highlight the arc from S to Q passing through P.

A quadrilateral ABCD has the given angle measures. Select all measurements which could come from a cyclic quadrilateral.

Do you agree with Lin? Explain or show your reasoning.

Which statement must be true?

A circle and line are drawn. How many intersection points are possible? Select all possible answers.

A circle and line are drawn.
How many intersection points are possible? Select all possible answers.

A circle and line are drawn.
How many intersection points are possible? Select all possible answers.