Chords and Angles and Tangent to a Circle

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

An angle is a(n) ______ if the vertex is on a circle and the sides of the angle are shords of the circle.

• right angle

• acute angle

• inscribed angle

• intercepted angle

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CCSS.HSG.C.A.2

In the diagram, TP and TQ are tangents to circle O. Determine the value of x. (Note the angles with single arcs are not necessarily congruent in this diagram.)

• 70

• 110

• 140

• 90

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CCSS.HSG.C.A.2

In a circle (or congruent circles), the measure of an arc is:

• equal to half of the measure of its corresponding central angle

• equal to the measure of its corresponding central angle

• equal to the measure of its circle's radii

• only calculated by taking the square root of dragon taxis

Find the measure of angle MNQ.

• 89

• 158

• 91

• 22

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CCSS.HSG.C.A.2

Which is the correct way to solve this?

• x=(360-110)/2

• x=110/2

• x=(250-110)/2

• x=(250+110)/2

Tags

CCSS.HSG.C.A.2

Find the value of x.

(a)  

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CCSS.HSG.C.A.2

Using lines tangent to the circle, find the value of x.

• 57

• 137

• 47

• 257

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CCSS.HSG.C.A.2

Segment AB and AC are​ (a)   to the circle and​ (b)   to each other.

• tangents

• congruent

• secants

• chords

• unequal

• similar

Solve for x.

• 140

• 89

• 51

• 38

Tags

CCSS.HSG.C.A.2