(1) If DF = FB, then point F is called the _____ and segments DF and FB are _____.a. bisector, collinearb. congruent, midpointc. midpoint, congruentd. midpoint, coplanar(2) If ray FA bisects angle EFB and measure of angle EFA = 47 degrees, the measure of angle EFB = _____.a. 94b. 23.5c. 47(3) If seg DF = x+2, seg FB = 2x+1 and DB = 15, find the value of x.(4) Based on your answer in #3 and the lengths for DF and FB after x is found, F is the midpoint of seg DB. True or False?
Accepted Solution
A:
Answer:(1) C(2) C(3) 4(4) FalseStep-by-step explanation:(1) If DF = FB, then point F is called the midpoint and segments DF and FB are congruent.(2) If ray FA bisects angle EFB, then angles EFA and AFB are congruent. If measure of angle EFA = 47 degrees, the measure of angle EFB = 47 degrees.(3) If DF = x+2, FB = 2x+1 and DB = 15, thenDF + FB = DBx+2+2x+1=153x+3=153x=15-33x=12x=4(4) If x=4, thenDF=4+2=6FB=2·4+1=9Since DF is not congruent to FB, F is not a midpoint. False