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Aim. What are the formulas to find the measures of angles formed by tangents, secants, and chords?. Draw and define a tangent, secant, and a chord. VOCABULARY. TANGENT : a straight line or plane that touches a curve or curved surface at a point but does not intersect it at that point.

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Presentation Transcript
slide1
Aim

What are the formulas to find the measures of angles formed by tangents, secants, and chords?

Draw and define a tangent, secant, and a chord.

vocabulary
VOCABULARY
  • TANGENT: a straight line or plane that touches a curve or curved surface at a point but does not intersect it at that point
  • SECANT: a straight line that intersects a curve at two or more points
  • CHORD: geometric line segment whose endpoints both lie on the curve
slide4

Tangent-Chord

An angle formed by a tangent and a chord:

a

x

slide5

Two Secant

An angle formed by two secants:

b

a

x

slide6

Two Tangent

An angle formed by two tangents:

a

b

x

slide7

Tangent-Secant

An angle formed a tangent and a secant:

b

x

a

slide8

Two Chord

b

An angle formed by two chords:

x

a

slide9

PRACTICE QUESTIONS

1.

Find x

x

4

20

slide10

PRACTICE QUESTIONS

2.

Find a

a

60

slide11

PRACTICE QUESTIONS

Find b

3.

b

80

70

slide12

4.

Regents Question

Pair Share

Find: PT=

PN=

LR=

RT=

tonight s homework
Tonight’s Homework

In the Workbook:

  • Pg 502 #30
  • Pg 492 #12
  • Pg 488 # 33
  • Pg 395 #22
  • Pg 368 # 3, 4

HAVE FUN! :]