Question

Use the fact that m/LCR = 90° in circle C below to answer the following items.

a. If CQ is an angle bisector of ZLCR, what is
m/LCQ?
b. Identify two major arcs.
c. Name two congruent minor arcs.
d. Name three adjacent arcs that form a semicircle.

Answer 1

see below

Explanation:

angle lcr appears to be a right angle

therefore if a line bisects LCR it would split the angle into 2 congruent halves:

so

90/2=45

m<LCR=45

b) arc KP and arc PR

c)

arc KL and arc LQ

d) arc PR, arc RQ and arc QL

Answer 2

a. 45°

b. Arc KPR and Arc RLP

c. Arc PR and Arc RL

d. Arc LQ, Arc QR, and Arc RP

Explanation:

a. 90/2=45°

b. Observation

c. They both have measures of 90 degrees

d. Arc Addition Postulate