Day 1 Supporting Materials Vocabulary Investigation Activity: Signs

Day 2 Materials: Theorem Investigation Activity

Name:________________________ Period:_____________

Topics 19/20: Circle Conjecture and Theorem Investigation

1) 2) 3)

Inscribed Angle and Central Angle Relationship:

The measure of a central angle is

_________ the measure of its _____________________.

The measure of an inscribed angle is ________ the measure of the central

angle that shares the same __________________.

Theorem #1:

The ____________________ ______________of a chord on

a circle contains the _____________ of the circle.

Theorem #2:

A ___________of a circle _________ a chord if and

only if the radius is _________________

to the chord.

4) 5) 6)

Theorem #3:

Chords on a circle (or on congruent circles) are

______________ if and only if the chords __________

_______________________.

Theorem #4:

______________on a circle (or congruent circles) are

____________ if and only if the chords are

_________________from the circle center(s).

Given a point on a circle, how do you create a tangent line that goes through it?

Given a point OUTSIDE the circle, how do you create a line that passes through the point and is also tangent to the circle?

Day 3 Materials: *Each question was supplemented by hand-written material.

Day 4 Materials: Challenge Problem Stations/Group Quiz                              

     

 

Student Responses Process Sheet:

Day 5 Materials

Group Members’ Names: ________________ ________________  ________________  ________________

Topic 19 and 20: Review Day 2

Test Question Solution

Easy Question 1:

Easy Question 2:

Medium Question 1:

Medium Question 2:

Difficult Question 1:

Difficult Question 2: