Circles - Segment review; Angle Practice

Open Ended

Which one doesn't belong?

Explain your reasoning (use complete sentences).

Draw

Fill in the blanks with the missing numbers.

Write the pattern on the image

(it does not have to be a complete sentence)

● I can define the parts of a circle
● I can define and measure in a circle
● I can find the measure of segments of a circle
● I can discover the properties of tangent lines
● I can find the measure of angles inside and outside of a circle
● I can find missing measures of angles and arcs using circle theorems.

● I can explain radian angle measures in terms of a circular radius and
arc length

Objectives

Why is This Important to Me?

Understanding the parts of a circle, such as central angles, minor arcs, and tangent lines, helps us grasp the properties and relationships within geometric figures.

Additionally, learning about radian angle measures allows us to explore circular motion, calculus, and other advanced topics in mathematics and physics.

Mastering these concepts equips us with essential problem-solving skills applicable in various fields, from engineering to computer science.

Open Ended

How many total degrees are in a circle?

Open Ended

How many degrees are in a semi-circle?

Draw

Draw circle K, with chord ZP, secant BL, and tangent line MP.

Be sure to make a dot for each point.

Be sure to label each point.

Match

Math the terms with their meaning.

• Set of points in a plane a given distance from a given point in the plane

• 
  Segment whose endpoint lies on the circle

• chord passing through the center of a circle

• 
  line containing a chord that passes through a circle

• ine in the plane of a circle that intersects the circle in exactly one point

circle

chord

diameter

secant

tangent

• circle

• chord

• diameter

• secant

• tangent

Match

Match the term with the definition.

• angle whose vertex is on a circle and whose sides contain chords of a circle

• point where the tangent intersects the circle

• 
  unbroken part of a circle

• angle with its vertex at the center of the circle

• set of points in space a given distance from a given point

inscribed angles

point of tangency

arc

central angle

sphere

• 
  inscribed angles

• point of tangency

• arc

• central angle

• sphere

Match

Match the image with the term.

minor arc

major arc

Tangent Line

Diameter & Chord

Secant Line

• minor arc

• major arc

• Tangent Line

• Diameter & Chord

• Secant Line

Draw

Draw central angle BKG.

Draw inscribed angle BYG.

Be sure to make a dot for each point.

Be sure to label each point.

Segment Lengths

Draw

Find x.

Show your process.

Draw

Find x.

Show your process.

Math Response

Find the value of x.

Type answer here

Correct Answer: 15

Deg^°

Rad

Math Response

What is the length of each tangent segment?

Type answer here

Correct Answer: 35

Deg^°

Rad

Draw

Find x.

Show your process.

Independent Practice

IXL Grade 9
Z4 -Central Angles in Circles
Z8 - Arcs & Chords in Circles
Z9 - Tangents in Circles