H Geometry 9.1 day 2 + 9.2.notebook February 09, 2015

BellworkDraw RHOMBUS PQRS. Label the vertices.Is there another way you could have labeled the vertices? Explain.

H Geometry 9.1 day 2 + 9.2.notebook February 09, 2015

9.1 Factoring ax2 + bx + c 9.2 Introduction to Circles

Mastery Objective:You will be able to:• begin solving problems involving circles• factor trinomials of the form ax2 + bx + c

Language Objective:• Understand and apply terminology related to circles.

H Geometry 9.1 day 2 + 9.2.notebook February 09, 2015

Example Solve for x.

Factoring ax2 + bx + c

ExampleSolve for z.

H Geometry 9.1 day 2 + 9.2.notebook February 09, 2015

1 3

ExampleSolve for x.

Circumference

Area

or

H Geometry 9.1 day 2 + 9.2.notebook February 09, 2015

An arc is made up of 2 points on a circle and all the points connecting them. Its length is a fraction of the circumference, its measure is a fraction of 360o.

A sector is a region bounded by 2 radii and an arc of the circle. Its area is a fraction of the area of the circle.

AB

H Geometry 9.1 day 2 + 9.2.notebook February 09, 2015

A chord is a segment whose endpoints lie on the circle.

A diameter is a chord that intersects the center of the circle.

Example

 

A

B(5, 0)

Find:a) The coordinates of A

b) mAB

c) The length of AB

d) The area of the shaded region (sector BOA)

O

H Geometry 9.1 day 2 + 9.2.notebook February 09, 2015

The measure of an inscribed angle is half the measure of its intercepted arc.

Examples

H Geometry 9.1 day 2 + 9.2.notebook February 09, 2015

Homework9.1/9.2 p369 #10 + p374 #1­8,11­13