Circles Inside Outside on Angles

What is the part of the circle highlighted in red called?

• semi-circle arc

• major arc

• minor arc

• sector

A chord is a segment that connects ___________

• the center to the endpoint

• to one point outside the circle

• a central angle

• 2 endpoints of a circle

Which is true of a minor arc?

• It forms half a circle.

• It forms a whole circle.

• It measures greater than 180 degrees. 

• It measures less than 180 degrees.

A ____ angle is an angle whose vertex is a the center of a circle.

• supplementary

• complimentary

• central

• obtuse

Mathematical Equivalence

ON

The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB? (a)  

• 25 degrees

• 40 degrees

• 50 degrees

• 100 degrees

𝑚∠𝐿𝐶𝑀 = ​ (a)  

𝑚∠𝐽𝐶𝑁 = ​ (b)  

m arc 𝑁̂𝑀 = ​ (c)  

𝑚 arc𝐾̂𝑀 = ​ ​ (d)  

• 55

• 105

• 75

• also 105

• 180

• 360

• 130

• also 55

• also 75

• also 180

If arc LJ has a measure of 64 degrees, then ​ ​ (a)   has a measure of 64 degrees because it is a ​ (b)   . While ​ (c)   has a measure of ​ (d)   because it is an​ (e)  

• central angle

• 32 degrees

• inscribed angle.

• 128 degrees

• exterior angle

Think about if the angles are equal or if they add up to 180. Solve for x. Plug it in.

Mathematical Equivalence

ON

To find an angle inside the circle you use which of the following.

• (1/2)arc

•  (1/2)(arc+arc)

• (1/2)(arc - arc)

• I don't know