Circle Theorem Secants and Tangents

If a tangent and a secant, two secants, or two tangents intersect in a point in the exterior of a circle, then the measure of the angle formed is equal to one-half the ____________ of the measures of the intersected arcs.

• difference

• sum

• twice

• half

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

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

What is in the picture?

• Two tangents

• Two Secants

• Two Chords

• One Secant and One Tangent

Using the secant property of a circle, find the value of x.

• 3.75

• 6

• 2.4

• 2

• 33
• 18
• 46
• 16

PA and PB are tangents of length 15cm to the circle with centre O. If PRO is a straight line with PR = 9cm, calculate the radius of the circle.

If ST = 8 and SW = 17, then TW = ​ (a)   , SD = ​ (b)   , and DW = ​ (c)  

• 8

• 15

• 9

• 18.8

• 225

Find the value of x.

• 10

• 181

• 34

• 40

PA and PB are tangents of length 15cm to the circle with centre O. If PRO is a straight line with PR = 9cm, calculate the radius of the circle.