11.3-11.6 Review

Totally Tangent

100

How do you find out if a line is truly tangent to a circle?

*See Totally Tangent 100 

Check if the pythagorean theorem works.

200

What relationship does a tangent line and radius have?

What relationship do two tangent lines from the same point have to each other?

Tangent line and radius: perpendicular or 90^o

Two tangent lines: congruent/the same length

300

Find the perimeter of the polygon.

*See Totally Tangent 300

34

400

Is this line tangent to the circle?

*See Totally Tangent 400

No.

500

Find the missing segment length.

*See Totally Tangent 500

12

All the Angles

100

Find the measure of arc AC.

*See All the Angles 100

92^o

200

Is this an inscribed angle? If so, what is the angle AND intercepted arc?

*See All the Angles 200

Yes. 

Angle: <ABC or <CBA

Intercepted arc: AC or CA

300

Find the measure of angle B.

*See All the Angles 300

50^o

400

Find the measure of angle B.

*See All the Angles 400

67^o (I seriously didn't plan that one.)

500

Find the measure of arc CBA.

250^o

To Pythagorean, or not to Pythagorean?

100

Solve for x.

*See this category 100

7

200

Solve for x.

*See this category 200

10

300

Solve for x.

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10

400

Solve for x.

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Approximately 11.4

500

Solve for x.

*See this category 500

16

Graph Stuff

100

What is the center and radius of this circle?

(x - 6)² + (y - 7)² = 4

Center: (6, 7)... Yeah...

Radius: 2

200

Write the equation of a circle with this center and radius.

Center: (0,0)

Radius: √5

x² + y² = 5

300

Draw and graph this circle on your whiteboard.

Center: (-4, -4)

Radius: 6

Circle of radius 6 in Quadrant III

400

Identify the center and radius of this circle.

(x + 17)² + (y - 4)² = 20

Center: (-17, 4)

Radius: 4.5 or 2√5

500

Draw and graph this circle on your whiteboard.

x² + (y - 5)² = 12

Circle in the middle of quadrants III and IV, 5 down, radius of about 3.5

Just 11.6.

100

Is this an "inside" or "outside" angle? Depending on which one, should you ADD or SUBTRACT the arcs in the formula?

*See Just 11.6. 100

Inside angle. You should ADD.

200

Solve for x.

*See Just 11.6. 200

11

300

What is the measure of angle MLN?

*See Just 11.6 300

58^o

400

What is the measure of arc AB? (The green, or smaller, arc)

*See Just 11.6. 400

176^o

500

Solve for the missing arc.

*See Just 11.6. 500

142^o