HG U6D3 Inscribed Polygons Oct31

Last updated 7 months ago
28 questions
1

Angle Game: Find as many angles as you can.

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

1

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

1

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

1

How do you locate the exact center of a circle?

The image shows a quadrilateral circumscribed by a circle.
1

Highlight the arc from S to Q passing through P.

1
The measure of the arc you highlighted is _______o.
1
The measure of the other arc, from S to Q, is _______o.
1
The measure of angle SPQ = _______o.
The image shows a quadrilateral circumscribed by a circle.
1

Highlight the arc from S to Q passing through P.

1
The measure of the arc you highlighted is _______o.
1
The measure of the other arc, from S to Q, is _______o.
1
The measure of angle SPQ = _______o.
The image shows a quadrilateral circumscribed by a circle.
1

Highlight the arc from S to Q passing through P.

1
The measure of the arc you highlighted is _______o.
1
The measure of the other arc, from S to Q, is _______o.
1
The measure of angle SPQ = _______o.
1
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
1

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.
1
The measure of angle C is _______o.
1
The measure of angle D is _______o.
1
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.
1
x = _______o
y = _______o
1

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

Use the figure to solve for x, y and z.
1
x = _______o
y = _______o
z = _______o
Use the figure to solve for x and y.
1
x = _______o
y = _______o
In the diagram, the measure of angle ACB is 43 degrees.
What is the measure of angle AOB?
1
The measure of angle AOB is _______o.
1

Which statement must be true?

1

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