Name: Looking Forward! Unit 13 – Circles Theorems! Unit Overview: The next two units have a strong focus on circles! In this unit we will be looking at circles on the coordinate plane, including solving quadratic-linear systems of equations, and determining the equation of a circle. Next we will explore sectors of circles and how to use radians to solve for arc length. Game Plan: 13-1 Central and Inscribed Angles Any Notes to Yourself! Facts? Terms? Acronyms? 13-2 Cyclic Quadrilaterals and Angle Formed by Chords 13-3 Angles formed by Intersecting Chords and segments 13-4 Outside Angles 13-5 Parallel and congruent chords Quiz 13-6 Segment Length INSIDE Circle (PP) 13-7 Segment Length OUTSIDE Circle (WO WO) 13-8 Big Circles 13-9 Circle Proofs 13-10 Practice 13-11 Review 13-12 TEST!!! Unit 12 Vocab! Cyclic Chord Radius Center Inscribed Congruent Pi Major Arc Sector Arc Apothem Minor Arc Regular Polygon Secant Tangent Central Angle Perpendicular Similar
Transcript
Name: Looking Forward!
Unit 13 – Circles Theorems!
Unit Overview: The next two units have a strong focus on circles! In this unit we will be looking at circles on the coordinate plane, including solving quadratic-linear systems of equations, and determining the equation of a circle. Next
we will explore sectors of circles and how to use radians to solve for arc length.
Game Plan:
13-1 Central and Inscribed Angles Any Notes to Yourself! Facts? Terms? Acronyms? 13-2 Cyclic Quadrilaterals and Angle Formed by Chords
13-3 Angles formed by Intersecting Chords and segments 13-4 Outside Angles 13-5 Parallel and congruent chords
Quiz 13-6 Segment Length INSIDE Circle (PP) 13-7 Segment Length OUTSIDE Circle (WO WO) 13-8 Big Circles 13-9 Circle Proofs 13-10 Practice 13-11 Review 13-12 TEST!!!
Unit 12 Vocab! Cyclic Chord Radius Center Inscribed Congruent Pi Major Arc Sector Arc Apothem Minor Arc Regular Polygon
Secant Tangent Central Angle Perpendicular Similar
Track your progress! Every day we will visit this page for you to answer the learning goal questions. Make sure
you keep this up to date, and leave as much detail as you can! This is your study guide! Lesson Lesson Title/Goal
Leave some notes to yourself! Answer it!
13-1 Central and Inscribed Angles
What is a central angle, and what is its relationship with its intercepted arc?
What is an inscribed angle, and what is
its relationship with its intercepted arc?
What is Thale’s Theorem?
1. Find x:
13-2 Cyclic Quadrilaterals and Angle Formed by Chords
Bow Tie Angles
What are Cyclic Quadrilaterals?
How can we solve for angles
formed by chords?
2. (a)
(b)
13-3 Angles formed by Intersecting
Chords and segments
What are Sneaky Angles?
What is the relationship between
the measure of angles and how
these angles are formed?
3. AB is a tangent. ̂ ̂ ̂
13-4 Outside Angles
How do you solve for an angle outside of a circle using its
intercepted arcs?
4. In the accompanying diagram,
is tangent to circle O at Q
and is a secant.
If and ,
find .
13-5 Parallel and congruent chords
What relationship do parallel and
congruent chords have on
intercepted arcs in a circle?
5.
13-6 Segment Length INSIDE Circle (PP)
How do we find the measure of
segment lengths formed by
intersecting chords?
13-7 Segment Length OUTSIDE Circle (WO WO)
What are the relationships between
secant and tangent lengths outside
of circles?
7. In the accompanying diagram, is tangent to circle O at B. If
and , what is the length of ?
13-8 Big Circles SEE BACK PAGE! 13-9 Circle Proofs
How can we prove all circles are
similar?
9. Show the two given circles are similar by stating the necessary
transformations from C to D.
C: center (2, 3) radius 5; D: center (–1, 4) radius 10.
13-8 cont...
Big Circles Continued!
10.
Circle O with tangent and Find all of the numbered angles.
