good morning!! warm up use pythagorean theorem to find the missing side. round to the nearest...
DESCRIPTION
TANGENTS A line is tangent to the circle only if it is perpendicular to the radius drawn to the point of tangencyTRANSCRIPT
![Page 1: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/1.jpg)
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
![Page 2: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/2.jpg)
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
![Page 3: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/3.jpg)
TANGENTS A line is tangent
to the circle only if it is perpendicular to the radius drawn to the point of tangency
![Page 4: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/4.jpg)
Is AD tangent or not tangent?
No, point D is not tangent to the circle.
![Page 5: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/5.jpg)
Is AB tangent or not tangent?
Use Pythagorean Theorem to find out.
Yes682 + 512 = 852
![Page 6: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/6.jpg)
Is AB tangent or not tangent?
Use Pythagorean Theorem to find out.
No82 + 162 ≠ 192
![Page 7: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/7.jpg)
BC is a radius of Circle C AB is tangent to Circle C
Solve for x.
x2 + 962 = 1002
x = 28
![Page 8: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/8.jpg)
Solve for x.
BC is a radius of Circle C AB is tangent to Circle C
x2 + 482 = 802
x = 64
![Page 9: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/9.jpg)
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
![Page 10: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/10.jpg)
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
![Page 11: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/11.jpg)
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!
![Page 12: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/12.jpg)
Party Hat Problems(Tangent/Tangent)
![Page 13: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/13.jpg)
R
S
T
TSRS If two segments from
the same exterior point are tangent to a circle, then they are
congruent.
Party hat problems!
![Page 14: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/14.jpg)
22 x
11 1122 x92 x
3 3 xorx
![Page 15: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/15.jpg)
152 x
x14
15x
![Page 16: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/16.jpg)
C
3
4
7XX
P
![Page 17: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/17.jpg)
T S
Q10 4
18NP
P
N
R
12
![Page 18: Good morning!! Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft](https://reader035.vdocuments.net/reader035/viewer/2022062412/5a4d1aff7f8b9ab059985e2c/html5/thumbnails/18.jpg)
CLASS WORKIF ON TASK, NO HW THIS
WEEKEND!!! BIG IF!
Homework