Tangent Properties

1. 10.1 Tangent Properties
February 27, 2014
You need @ least 3 colors of
highlighters or pencils and a circle
sheet.
Feb 9­9:03 AM
HW pg. 655 #3­25 odds
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2. 10.1 Tangent Properties
February 27, 2014
10.1 Tangent Properties
Circle: set of points that are quidistant from the center.
e
Radius: segment whose endpoints are the center & any point on the circle
Chord: segment whose endpoints are on a circle
Diameter: a chord that contains the center of the circle
Secant: line that intersects a circle in 2 points
Tangent: a line that intersects the circle in xactly 1 point
e
On your circle sheet, draw & identify these words on a circle.
Chord
Radius
Tangent
Center
Diameter
Secant
Nov 27­11:44 AM
HW pg. 655 #3­25 odds
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3. 10.1 Tangent Properties
February 27, 2014
Feb 15­3:22 PM
HW pg. 655 #3­25 odds
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4. 10.1 Tangent Properties
February 27, 2014
Coplanar Circles
Coplanar circles: 2 circles that intersect in 2 points, 1 point or no points
Tangent circles: 2 circles that intersect in 1 point
Concentric: common center in 2 circles
2 points
1 point
(tangent)
0 points
(concentric)
Common Tangent: a line, ray or segment that is tangent to 2 coplanar circles
Feb 15­3:33 PM
HW pg. 655 #3­25 odds
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5. 10.1 Tangent Properties
February 27, 2014
Tangent Properties
Theorem 10.1: Tangent Theorem
A tangent to a circle is perpendicular to the radius drawn to the point of
tangency.
Theorem 10.2: Congruent Tangent Theorem
Tangent segments to a circle from a point outside the circle are
congruent.
Nov 27­11:44 AM
HW pg. 655 #3­25 odds
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6. 10.1 Tangent Properties
February 27, 2014
Examples:
Find x. Assume that segments that appear tangent are tangent.
(x
-2
)f
t
E
D
14
ft
F
Find x, y & z.
6(3 - x)
F
C
3x
)
(z
-4
E
10
A
4y
2z
D 12y B
-4
Nov 5­5:41 PM
HW pg. 655 #3­25 odds
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7. 10.1 Tangent Properties
February 27, 2014
10.1
HW
p.655
#3‐25 odds
Nov 5­5:58 PM
HW pg. 655 #3­25 odds
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