Circles Arcs Central and Inscribed Angles and Chords

If a quadrilateral is inscribed in a circle, the opposite angles are

• Supplementary

• Congruent

• Complimentary

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

What is the formula to use when solving for arcs/angles in circles with intersecting chords?

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

What is the formula used when finding an angle formed by an intersecting secant and tangent on the circle?

• 2(Inscribed Angle)

• 2(Intercepted Arc)

Which of the following statements is NOT true about an inscribed angle?

• An angle inscribed in a semicircle is an obtuse angle.

• The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.

• If two inscribed angles intercept at the same arc or congruent arcs, then the angles are congruent.

• An inscribed angle is an angle whose vertex lies on the circle and whose sides contain chords of the circle.

In ʘA, TP is a diameter. What is the measure of arc TO if m∠OAP = 65º?

• 65º

• 115º

• 130º

• 230º

Given ⨀O with diameter CD and ABIICD and the measure of arc AB = 80˚, find arc CA. 

• 50˚

• 55˚

• 60˚

• 65˚