Lines and Segments of Circles Notes

Secant Lines and Segments

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 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

Multiple Choice

Find the value of x.

• 15
• 13
• 3
• 6

Multiple Choice

Find the length of BD

• 6

• 10

• 8

• 4

Multiple Choice

Find the value of x.

• 25
• 30.25
• 7
• 38

Multiple Choice

Find x.

• 10

• 5

• 18

• 9

Multiple Choice

In circle R, chords MN=PO.

Find RS.

• 15

• 13

• 10

• 28

Multiple Choice

A secant is a line, ray, or segment that intersects a circle at ____ points.

• 0

• 1

• 2

• 3

Multiple Choice

Name the tangent line. 

• S

• WR
• VT
• QR

Multiple Choice

Lines AO and BO are tangent. What is the measure of BO?

• 20
• 15
• 10
• 5

Multiple Choice

What kind of segments are being shown?

• secant

• tangent

• both

Multiple Choice

What type of segments are being shown?

• secant

• tangent

• both

Multiple Choice

What is the correct way to write your equation?

• 20 = y x 30

• $$20^2\ =\ y\ x\ 30$$

• $$20^2=\ y\left(y\ x\ 30\right)$$

• $$20^2\ =y\left(30+y\right)$$

Multiple Choice

What is the correct way to write the equation to solve for x?

• 12 x 4 = x

• $$x^2\ =12^2+4^2$$

• $$x^2\ =\ 4\left(16\right)$$

Multiple Choice

How would you set up the equation to solve for x?

• 4x-9 = 15

• 4x-9 = 15²

• 15² = (4x-9)²

Multiple Choice

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

• 15
• 6
• -24
• 14

Multiple Choice

Find the radius r

• 2
• 3
• 4
• 5