Congruent Chords and Central Angles

Equal chords subtend _________ angles at the centre.

• different angle

• equal

If two chords subtend equal angle at the centre then the chords are ______________

• Equal

• different

In circle X, chords AB and CD are congruent and AB is 9 units from X. Find the distance from CD to X.

• 4.5 units

• 9 units

• 18 units

• cannot tell

Find the value of x.

• 26

• 24

• 30

• 20

If 2 chords in a circle are congruent, then their arcs are ___?

• Congruent

• Parallel

• Perpendicular

• Half

Use chords to solve for x

• x = 35^o

• x = 50^o

• x = 70^o

• x = 140^o

Chords AB and AD are congruent. Arc AB is 96°. What is the measure of arc BAD?

• 96°

• 48°

• 192°

• 168°

Chords AB and CD are congruent. If arc AB is 54°, what is the measure of arc CD?

• 108°

• 54°

• 27°

• 81°

• 278⁰
• 297⁰
• 90⁰
• 105⁰