Lesson 10.2 Tangents in circles

Lesson 10.2 Lines Tangent to a Circle

By CHRISTOPHER CAVIN

Math Response

Multiply:

$$\left(x+4\right)^2$$

Type answer here

Correct Answer: x^2+8x+16

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Rad

Math Response

Multiply

$$\left(x-9\right)^2$$

Type answer here

Correct Answer: x^2-18x+81

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Math Response

Simplify $$\sqrt[]{108}$$

Type answer here

Correct Answer: 6\sqrt{3}

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Math Response

What is the value of x? Round to the tenths place.

Type answer here

Correct Answer: 32.6

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​Hint: Draw a segment from T to A. What was created?

Multiple Choice

Is $$\overleftarrow{M}\overrightarrow{P}$$ tangent to circle N?

• Yes

• No

Math Response

$$\overline{AB}$$ is tangent to Circle C at point B. What is the length of AB? Round to the tenths place.

Type answer here

Correct Answer: 39.8

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Math Response

If $$\overline{LK}$$ is tangent to circle N at point L, what is KN?

Type answer here

Correct Answer: 15

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​Remember what we did before with a problem like this. Draw a segment from Z to T. What is created?

Math Response

If TX = 12, and TZ = 20, what is the length of XZ?

Type answer here

Correct Answer: 16

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​A satellite requires a line of sight for communication. Between the ground stations farthest from the satellite, what is the amount of time needed for a signal to go from one station up to the satellite, and then down to the other station?

​What is the perimeter of the quadrilateral ABCD?

Math Response

What is the perimeter, in cm, of the polygon that circumscribes the circle?

Type answer here

Correct Answer: 76

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Multiple Choice

Which choice shows the construction of a line tangent to circle A that passes through point B?

Open Ended

Error Analysis: Jill looked at the figure shown and said that $$\overline{AB}$$ is tangent to Circle G at A because it intersects Circle G only at A. What was Jill's error?

Open Ended

Can any point on a circle be a point of tangency? Explain.