Chords and Arc Relationships

Given circle O, the arcs AB and CD must be congruent.

• True

• False

Tags

CCSS.HSG.C.A.2

Given circle O, arcs WX and YZ must be congruent.

• True

• False

Given circle O, if arcs GH and JK are congruent, what is the measure of angle KOJ?

• $22\degree$

• $68\degree$

• $112\degree$

• $158\degree$

Tags

CCSS.HSG.C.A.2

Given circle O, if arcs AB and BC are congruent, what is the measure of angle BOC?

• $50\degree$

• $65\degree$

• $115\degree$

• $130\degree$

Tags

CCSS.HSG.C.A.2

Given circle O, if arcs WX and YZ are congruent, what is the measure of chord YZ?

• 3.5

• 3.85

• 7

• 14

Tags

CCSS.HSG.C.A.2

Given circle O, if arcs GH and HJ are congruent, what is the measure of chord HJ?

• 11.4

• 11.6

• 18.4

• 22.8

Tags

CCSS.HSG.C.A.2

Two arcs are congruent if they have the same measure and they belong to ________ or to __________.

(Check all that apply)

• the same circle

• similar triangles

• congruent circles

• similar circles

Two arcs of a circle are congruent if and only if their associated radii are congruent.

• True

• False

Two chords in the same circle are congruent if and only if the associated central angles are congruent.

• True

• False

Tags

CCSS.8.G.A.2

If chord XY if congruent to chord YZ, what is the measure of angle YOZ?

• $36\degree$

• $54\degree$

• $72\degree$

• $126\degree$

Tags

CCSS.HSG.C.A.2