Central Angles, Inscribed Angles, Circumscribed Angles and Properties of Tangents

Which of the following is NOT a property of a central angle?

• Its vertex is at the center of the circle.

• It divides the circle into two arcs.

• It is always less than 90 degrees.

• It can be measured in degrees or radians.

What is the main difference between a chord and a tangent?

• A chord touches the circle at one point, a tangent connects two points

• A chord connects two points on the circle, a tangent touches at one point

• A chord is outside the circle, a tangent is inside

• A chord is a line, a tangent is a segment

Properties of Arcs and Angles: Segment EB is a diameter. What is the value of x?

• 78

• 166

• 76

• 152

Properties of Arcs and Angles: Segment EB is a diameter. What is the value of y?

• 78

• 76

• 102

• 128

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

• 26

• 57

• 66

• 114

Solve for x.

• 29

• 33

• 41.5

• 50

Given the picture and that segment TR is a diameter, find the measure of arc TAR. Is it a major arc, minor arc, or semicircle?

• 159°;

  Major Arc

• 90°;

  Minor Arc

• 180°;

  Semicircle

• 360°;

  Major Arc

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.

What is the measure of arc FE?

• 54°

• 126°

• 117°

• 31.5°

In which type of geometric figure is an inscribed circle typically found?

• Square

• Triangle

• Pentagon

• Hexagon