74° 38° x° For each circle, find the measure of x. 1. 2. 3.
-
Upload
miguel-palmer -
Category
Documents
-
view
217 -
download
1
Transcript of 74° 38° x° For each circle, find the measure of x. 1. 2. 3.
![Page 1: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/1.jpg)
104°
x°
74° 38°
x°
x°142°
68°
For each circle, find the measure of x.
1. 2.
3.
![Page 2: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/2.jpg)
Math II
UNIT QUESTION: What special properties are found with the parts of a circle?Standard: MM2G1, MM2G2
Today’s Question:How do we find segment lengths in circles?Standard: MM2G3.b
![Page 3: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/3.jpg)
6.6 Segment Lengths in Circles
Find the lengths of segments of chords
Find the lengths of segments of tangents and secants
![Page 4: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/4.jpg)
![Page 5: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/5.jpg)
a
bc
d ab = cd
part part = part part
![Page 6: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/6.jpg)
9
2
6xx = 3
3
2
12
y
y = 83
26
z
z = 1
Ex: 1 Solve for x.
![Page 7: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/7.jpg)
Ex: 2 Solve for x.
8
12
2x
3x
2x 3x = 12 8
6x2 = 96x2 = 16
x = 4
![Page 8: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/8.jpg)
E A B
C
D
EA • EB = EC • EDoutside whole = outside whole
![Page 9: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/9.jpg)
EA
B
C
D
713
4
x
7 (7 + 13) 4(4 + x)=
Ex: 3 Solve for x.
140 = 16 + 4x124 = 4x
x = 31
![Page 10: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/10.jpg)
E
A
B
CD 8
5
6
x
6 (6 + 8) 5(5 + x)=
Ex: 4 Solve for x.
84 = 25 + 5x59 = 5x x = 11.8
![Page 11: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/11.jpg)
E
A
B C
EA2 = EB • ECoutside whole = outside whole
![Page 12: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/12.jpg)
E
A
B C
24
12 x
outside whole = outside whole 242 = 12 (12 + x)576 = 144 + 12x x = 36
Ex: 5 Solve for x.
![Page 13: 74° 38° x° For each circle, find the measure of x. 1. 2. 3.](https://reader033.fdocuments.us/reader033/viewer/2022061305/55143cb9550346414e8b473c/html5/thumbnails/13.jpg)
E
A
B
C
15
5
x
outside whole = outside whole x2 = 5 (5 + 15)
x2 = 100
x = 10
Ex: 6