
Lecture 10.5 - Tangents
Presentation
•
Mathematics
•
6th - 12th Grade
•
Hard
+1
Standards-aligned
Gabe Geering
FREE Resource
10 Slides • 16 Questions
1
Lecture 10.5 - Tangents
G2
2
What do you call a dude that got too much sun?
Tangent
→ a line in the same plane as a circle that intersects the circle in exactly one point.
That's not the tangent we're used to... or is it?
3
What happens when that dude literally touches the sun?
Point of Tangency
→ the point of intersection between circle and tangent
ouch!
4
What happens when the dude's buddy touches another planet and they have a line of sight?
Common Tangent
→ line, ray, or segment that is tangent to two circles in the same plane
ouch!
5
Can you predict the relationship between point of tangency and center?
Figures > Words
6
Multiple Choice
What is this called?
Tangent Line
Secant
Chord
Diameter
7
Multiple Choice
A line that intersects the circle at one point.
tangent
secant
chord
diameter
8
Multiple Choice
How many common tangents?
0
1
2
3
4
9
Multiple Choice
How many common tangents?
0
1
2
3
4
10
Multiple Choice
How many common tangents?
0
1
2
3
4
11
Multiple Choice
How many common tangents?
0
1
2
3
4
12
RAISE THE PROOF
Can you imagine making a right triangle from this? Couldn't be me 😏
13
14
Multiple Choice
In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)
15
6
-24
14
15
Multiple Choice
16
Multiple Choice
Solve for the missing side.
6.3
10.4
7.2
8.9
17
Multiple Choice
18
RAISE THE PROOF
Again, can you imagine making a right triangle from this? Couldn't be me 😏
19
Multiple Choice
20
Multiple Choice
21
Circumscribe yourself with people who make you happy
But really, can you imagine making a right triangle from this? Couldn't be me 😏
When a polygon circumscribes a circle, the sides of the polygon become tangents. Each vertex of the polygon is called an external point where the tangents intersect. The distance from the external point to each point of tangency is the same.
22
23
Multiple Choice
24
Multiple Choice
If AB=8, AE=19, and CE=17, what is the measure of segment BC?
6 units
8 units
8.5 units
11 units
25
Multiple Choice
26
Multiple Choice
Lecture 10.5 - Tangents
G2
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