Intersecting Segments on a Circle

If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:

• ∠BEQ > ∠CEQ

• ∠BEQ = ∠CEQ

• ∠BEQ < ∠CEQ

• None of the above

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CCSS.HSG.C.A.2

In the below figure, the value of ∠ADC is:

• 60⁰

• 30⁰

• 45⁰

• 55⁰

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CCSS.HSG.C.A.2

In the figure, O is the centre of the circle. What is the measure of ∠ACB?

• 45⁰

• 60⁰

• 70⁰

• 90⁰

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CCSS.HSG.C.A.2

In a circle, if a diameter bisects a chord (that is not a diameter), then:

• it is a secant

• it is parallel to the chord

• it is perpendicular to the chord

• it is just shaking out the sillies

A ____ is a line, ray, or segment that intersects a circle at two points.

• Tangent

• Secant

• Radius

• Arc

Find the value of x.

• 15

• 13

• 3

• 6

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CCSS.HSG.C.A.2

What is x?

• 15

• 23

• 2

• 92

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CCSS.HSG.C.A.2

Find the radius r

• 2

• 3

• 4

• 5

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CCSS.HSG.C.A.2

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

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CCSS.HSG.C.A.2

Find the measure of the missing angle in degrees. (Hint: Intersecting Chords)

• 79

• 57

• 22

• 83

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CCSS.HSG.C.A.2