Secant and Tangent Theorems

Lecture 10.6 - Secants, Tangents, & Angle Measures

G²

What does one say when looking

directly at the sun at a tan gent?

secant

→​ a line that intersects a circle in exactly two points

Ya know, because you can't... see.... se... cant.........

Multiple Choice

What is this called?

• Chord

• Minor arc

• Secant

• Diameter

raise the proof

​A chord is just part of a secant

Multiple Choice

What is the measure of angle 1?

• 130
• 65
• 44
• 86

Multiple Choice

Find the measure of angle MNQ.

• 89

• 158

• 91

• 22

Multiple Choice

What is the measure of arc PR?

• 58

• 116

• 34

• 24

Multiple Select

Find the indicated arc measure. (measure of arc AD)

• 68

• 34

• 25

• 50

Multiple Select

Solve for x.

• 73

• 16

• 30.6

• 10.6

raise the proof

Almost reminiscent of the inscribed angle theorem, except one side of the angle is on the circle

raise the proof

secant, secant, tangent, secant, tangent, tangent, blah, blah, blah​

Multiple Select

Find the measure of arc QS.

• 52

• 256

• 104

• 128

Multiple Select

Find the indicated angle measure. (m∠JLK)

• 298

• 62

• 31

• 149

Multiple Choice

Find the m $$\angle$$  VUT

• 110

• 220

• 55

• 250

Fill in the Blanks

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

Fill in the Blanks

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

Fill in the Blanks

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

Fill in the Blanks

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

Fill in the Blanks

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

Fill in the Blanks

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

Fill in the Blanks

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

Fill in the Blanks

Find each measure. Assume that segments that appear to be tangent are tangent. Type only the numerical answer.

Multiple Choice

Solve for x

• 1

• 2

• 3

• 4

Multiple Choice

Solve for x. Remember when you set up the equation, put the -6+7x in parenthesis to distribute the subtraction (neg)

• 9

• 10

• 11

• 12

Break it down, simple, G²