Chord Angles of Circles

Which is true of a minor arc?

• It forms half a circle.

• It forms a whole circle.

• It measures greater than 180 degrees. 

• It measures less than 180 degrees.

A ____ angle is an angle whose vertex is a the center of a circle.

• supplementary

• complimentary

• central

• obtuse

Tags

CCSS.HSG.C.A.2

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

Tags

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

Tags

CCSS.HSG.C.A.2

Use chords to solve fox

• x = 35^o

• x = 50^o

• x = 70^o

• x = 140^o

Tags

CCSS.HSG.C.A.2

What is the correct value for x? Chords AB and AC are congruent.

• 245

• 122.5

• 115

• 360

Tags

CCSS.HSG.C.A.2

∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and minor arc CA = 180° , what is the measure of ∠ AED?

• 45°

• 50°

• 55°

• 60°

Tags

CCSS.HSG.C.A.2

• 278⁰
• 297⁰
• 90⁰
• 105⁰

Tags

CCSS.HSG.C.B.5

Use chords to solve for x

• x = 35^o

• x = 50^o

• x = 70^o

• x = 140^o

Tags

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