Circles Segments Chords Tangents Secants Angles

The angle relationship shown in the circle represents ​ ​

g

Segment Relationship (Secant / Tangent)

Angle relationship in circles (Central Angle)

Angle relationship in circles (Inscribed Angle)

Segment Relationship (2 Chords)

Segment Relationship (2 Tangents)

Segment Relationship (2 Secants)

Angle relationship in circles (Vertex Outside)

Angle relationship in circles (Vertex Inside)

What is the difference between a tangent line and a secant line?

• A secant intersects the circle twice; a tangent touches the circle once

• A tangent intersects the circle twice; a secant touches the circle once

• A secant goes through the center of the circle; a tangent does not

• A secant is outside the circle; a tangent is inside the circle

Match the following vocabulary term with its appropriate part of the circle.

• Point V

• Secant Line

• Minor Arc

• Major Arc

• Line PR

• Point of Tangency

• Semi-Circle

Find the measure of the missing angle. (Hint: Central Angles)

• 60

• 310

• 155

• 50

What is the measure of the missing angle in degrees? (Hint: Inscribed Angle)

• 102

• 51

• 204

• 40

If an inscribed angle intercepts a diameter, then it is a(n) _ angle.

• Obtuse

• Right

• Acute

Find the measure of the missing angle in degrees. (Hint: Overlapping Arcs and Inscribed Angles)

• 41

• 37

• 82

• 164

What is the formula to use when solving for a segment length of intersecting chords in a circle?

• ab=cd

• a(a+b)=c(c+d)

• a+b=c+d

Solve for angle "x" in degrees. (Hint: Intersecting Exterior Secants- Finding Arcs and Angles)

• 60

• 55

• 115

• 87

If 2 segments from the same external point are tangent to a circle, then they are_.

• Supplementary

• Congruent

• Complimentary