(1) if df = fb, then point f is called the and segments df and fb are
a. bisector, collinear
b. congruent, midpoint
c. midpoint, congruent
d. midpoint, coplanar
(2) if ray fa bisects angle efb and measure of angle efa = 47 degrees, the measure of angle efb =
a. 94
b. 23.5
c. 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?

(1) C

(2) C

(3) 4

(4) False

Step-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, then

DF + FB = DB

x+2+2x+1=15

3x+3=15

3x=15-3

3x=12

x=4

(4) If x=4, then

DF=4+2=6

FB=2·4+1=9

Since DF is not congruent to FB, F is not a midpoint. False

1.0

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