Embed Size (px)
DESCRIPTION
Citation preview
SECTION 10.5Tangents
TANGENTS
How can I use the properties of tangents to solve problems?
TANGENT
Tangent: A line that intersects the circle in exactly 1 point.
THEOREM
Theorem 10.9: If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.
THEOREM
Theorem 10.10: If a line is perpendicular to a radius of a circle, then the line is tangent to the circle.
THEOREM
Theorem 10.11: If two segments from the same exterior point are tangent to a circle, then they are congruent.
EXAMPLE
is tangent to Q at point R. Find y.
20
y
EXAMPLE
Determine whether is tangent to .
EXAMPLE
Determine whether is tangent to .
EXAMPLE
Determine whether is tangent to .
EXAMPLE
Find x. Assume that segments that appear tangent to circle are tangent.
EXAMPLE
Find a. Assume that segments that appear tangent to circle are tangent.
CIRCUMSCRIBED POLYGONS
Circumscribed Polygon: When a circle is inside a polygon and every side of the polygon is tangent to the circle.
Which one?
EXAMPLE
Triangle NOT is circumscribed about . Find the perimeter of if CT = NC – 28.
HOMEWORK
Page 556 #8 – 28 Even, skip 22 38, 40
LESSON PLAN
Intro Define a tangent and its relationship to a circle’s
radius Standards- 9.5 Supplies – slides, whiteboard, note sheets Timing: One day for notes, one day for a
combined review of 10.5 and 10.6 and a quiz. Day 1:
Essential Questions- slides 2 Input-slides 3 - 6, 13 Guided Practice - slides 7 – 12, 14, 15 Independent Practice – Book Work
