Proofs Using Chords and Arcs

Find JI.

• 30

• 12

• 7

• 41

Find PK.

• 7

• 22

• 44

• 11

• 278⁰
• 297⁰
• 90⁰
• 105⁰

In a circle (or congruent circles), congruent arcs:

• have congruent chords

• have congruent points

• are twice the measure of their radii

• can climb a hippo

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

• Congruent

• Parallel

• Perpendicular

• Half

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

• 96°

• 48°

• 192°

• 168°

Use chords to solve for x

• x = 35^o

• x = 50^o

• x = 70^o

• x = 140^o

What is a segment whose endpoints are any two points on the circle?

• Arc

• Chord

• Diameter

• Radius

In  a circle, if a radius or diameter is perpendicular to a chord, then it____ the chord and its arc.

• equals

• bisects

• arcs

• circles

If <BAC ≌ <YXZ then....

• arc BC ≠ arc YZ

• arc BC ≌ arc YZ

• AC≅XZ

• BA≅XY