Good morning!!

Warm upUse Pythagorean Theorem to find the missing side.

Round to the nearest tenths.

8.2 yd

8.3 m

2.2 ft

HW Answers

Practice HW 1. arc AB 1. a. angles DOC, BOC, BOA, AOD 2. arc ADB b. Arcs AB, ABC, AD, DC 3. arc PSQ c. many 4. 63 deg d. Arc BAD or BCD 5. 117 deg e. AB, BE, BD 6. 130 deg f. Angle AOD 7. 140 deg 2. 30 deg, 150 deg 8. 75 deg 3. 125 deg, 227 deg 9. 225 deg 4. 67 deg, 203 deg 10. 120 deg 5. 70 deg, 200 deg 11. 270 deg 6. 125 deg 12. 120 deg 7. 102 deg, 82 deg

TANGENTS A line is tangent

to the circle only if it is perpendicular to the radius drawn to the point of tangency

Is AD tangent or not tangent?

No, point D is not tangent to the circle.

Is AB tangent or not tangent?

Use Pythagorean Theorem to find out.

Yes682 + 512 = 852

Is AB tangent or not tangent?

Use Pythagorean Theorem to find out.

No82 + 162 ≠ 192

BC is a radius of Circle C AB is tangent to Circle C

Solve for x.

x2 + 962 = 1002

x = 28

Solve for x.

BC is a radius of Circle C AB is tangent to Circle C

x2 + 482 = 802

x = 64

Common TangentsA line that is tangent to more than one circle is referred to as a common tangent.

Both lines k and j are common tangents.

k

j

Common External Tangents

Common Internal TangentsCommon internal tangents intersect the line that connect the center of the circles whereas common external tangents do not intersect that line.

Both line j and line k are common internal tangents.

Common internal tangents

Congruent Tangent Lines

Tangent Lines

Theorem: If two segments from the same exterior point are tangent to a circle, then they are congruent.

Name the congruent segments above!

Party Hat Problems(Tangent/Tangent)

R

S

T

TSRS If two segments from

the same exterior point are tangent to a circle, then they are

congruent.

Party hat problems!

22 x

11 1122 x92 x

3 3 xorx

152 x

x14

15x

C

3

4

7XX

P

T S

Q10 4

18NP

P

N

R

12

CLASS WORKIF ON TASK, NO HW THIS

WEEKEND!!! BIG IF!

Homework