Circles Tangents Secants Chords and Angles

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

• 41

• 37

• 82

• 164

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)

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

What is the formula to use when solving for an exterior angle formed by 2 exterior intersecting secants, an exterior intersecting secant and tangent, or 2 exterior intersecting tangents of a circle?

• 2(Major Arc + Minor Arc)

• Major Arc - Minor Arc

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

If a polygon is circumscribed around a circle, then all sides are_.

• Tangent

• Secant

• Supplementary

• Complimentary

• Congruent

In a circle, a diameter bisects a chord and an arc with the same endpoints if and only if it is __________ to the chord.

• parallel

• congruent

• perpendicular

• bisect

What theorem that given an angle with its vertex on a circle, formed by a secant ray and a tangent ray, the measure of the angle is half the measure of the intercepted arc.

• The Tangent-Secant Theorem

• Chord - Arc Congruence Theorem

• Distance - Chord theorem

• The Intersecting Secants - Exterior Theorem

If two chords intersect within a circle, then the measure of the angle formed is equal to half the ______ of the measures of the intercepted arcs.

• measures

• sum

• twice

• half

Quadrilateral LOVE is inscribed in the circle as shown. If the measure of angle V = 140 degree, what is the measure of arc ELO?

• 140⁰

• 80⁰

• 280⁰

• 40⁰