Download presentation

Presentation is loading. Please wait.

Published byWarren Murphy Modified over 9 years ago

1
Ch 11 mini Unit

2
LearningTarget 11-1 Tangents I can use tangents to a circle to find missing values in figures.

3
A Tangent to a Circle is a line in the plane of a circle that intersects the circle in exactly one point. This point is called the point of tangency.

4
If a line is tangent to a circle, then the line is perpendicular to the radius drawn at the point of tangency This gives us a Right triangle, so We need to recall Right triangle properties

5
Find x

10
Inscribed or Circumscribed Do you remember the difference?

11
Two points tangent to a circle from a point outside the circle are congruent

12
Find the perimeter of the triangle

13
Find the perimeter

14
Homework p.586 #1-19 odd skip 5

15
Warmup p.589

16
Learning Target 11-2/11-3 You will be able to use properties of chords to find missing values You will be able to use the Inscribed Angle Theorem to find missing angles and arcs

17
Chord – a segment whose endpoints are on a circle Within a circle or in congruent circles – Congruent central angles have congruent chords – Congruent Chords have congruent arcs – Congruent arcs have congruent central angles

18
Within a circle, – Chords equidistant from the center are congruent – Congruent chords are equidistant from the center

19
Find x

21
More properties of chords In a circle, a diameter that is perpendicular to a chord bisects the chord and its arcs The reverse (converse) of this is true also

26
The measure of an inscribed angle is half the measure of its intercepted arc. Pic/example

27
Properties of Inscribed Angles Two inscribed angles that intercept the same arc are congruent An angle inscribed in a semicircle is a right angle The opposite angles of a quadrilateral inscribed in a circle are supplementary. Examples p. 600

28
The measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc. Pic/example

33
Homework P.593-594 #3-19 odd skip 9 P. 601 1-19 odd

34
WARMUPp. 605 Checkpoint QUIZ

35
Learning Target 11-4 I can find measures of angles formed by chords, secants, and tangents.

36
A secant is a line that intersects a circle at two points. We are going to use secants, tangents, and chords to solve problems See p.607

40
Rules on page 609

41
Learning target 11-5 I can write the equation of a circle

43
Identify the center and the radius

46
Graph

47
Review P.700 1-19, 21-23 P.627 6,7,89-12, 13-15, 16-21

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google