Lines and Segments That Intersect Circles

​10.1 Lines and Segments that Intersect Circles

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​Vocabulary

Multiple Choice

Name a radius of the circle. #1

• $$\overline{BD}$$

• $$\overline{HC}$$

• $$\overline{AG}$$

• $$\overline{DA}$$

Multiple Choice

Name a chord of the circle. #2

• $$\overline{BA}$$

• $$\overline{HC}$$

• $$\overline{GE}$$

• $$\overline{DA}$$

Multiple Choice

Name a tangent of the circle. #3

• $$\overline{AH}$$

• $$\overline{DA}$$

• $$\overline{GE}$$

• $$\overline{CH}$$

Multiple Choice

If a line is tangent to a circle, then it is _____ to the radius drawn at the point of tangency. #9

• Parallel

• Skew

• Perpendicular

• Bisecting

Multiple Choice

What is AD called? #11

• Radius

• Secant

• Tangent

• Diameter

Multiple Choice

What is KG called? #17

• Chord

• Secant

• Tangent

• Diameter

Multiple Choice

What relationship guarantees that line AD is perpendicular to segment BD when constructing the line tangent to circle B that passes through point A? #30

• A line that is tangent to a circle is perpendicular to a radius of the circle.

• Segment DB is a chord of circle C and a radius of circle B.

• Triangle ADB is inscribed in circle C has one angle inscribed in circle B.

• <ADB is inscribed in circle C and intercepts a semicircle.

Multiple Choice

The maximum number of Tangents that can be drawn to a circle from a point outside it is ________ #42

• 3

• 1

• 2

• 0

Multiple Choice

Determine whether is tangent to the circle. HINT: Use   $$c^2=a^2+b^2$$  to verify that MP  $$\perp$$  ML. We assume LP is c and MP and ML are a and b respectively. #40

• YES

• NO

Multiple Choice

Determine if a tangent line is shown in the picture. #32

• Yes

• No

• Not sure

Multiple Choice

Is line AB tangent to the circle? #33

• YES

• NO

• Not enough information

Multiple Choice

Find x. Assume that segments that appear to be tangent are tangent. #41

• 11.2

• 18.0

• 25.0

• 30.0

Multiple Choice

Kimi wants to determine the radius of a circular pool without getting wet. She is located at point K, which is 4 feet from the pool and 12 feet from the point of tangency, as shown in the accompanying diagram. What is the radius of the pool? #44

• 16

• 20

• 32

• $$4\sqrt{10}$$

Multiple Choice

Point B is a point of tangency, Find the radius r of circle C. #12

• 3.75

• 4

• 4

• 4.5

Multiple Select

What is the value of x and AB? #38

• 22

• 25

• 15

• 20

• AB=35

Multiple Choice

What can you conclude? #39

• AB and AC are not congruent.

• AB= half of AC

• AC = half of AB

• AB=AC