Measuring Length and Angles

Point E is the midpoint of /AB and point F is the midpoint of /CD. Which statements about the figure must be true? Check all that apply.

/AB is bisected by /CD. AE = 1/2AB CE + EF = FD

What is the measure of <JHG? The measude of <JHG is _______ degrees.

70

Point B is the midpoint of /AC. Which statements about the figure must be true? Check all that apply.

<ABC is bisected by ray BD. BC = 1/2AC AB = 1/2AC 2m<DBC = m<ABC

If JM = 5x - 8 and LM = 2x - 6, which expression represents JL?

a. 3x - 2

Ray UW is the angle bisector of <VUT. If m<VUW = (4x + 6)° and m<WUT = (6x - 10)°, what is the measure of <WUT?

b. 38°

The measure of <DCF? The measure of <DCF is _______ degrees.

129

Point V lies between points U and W on /UW. If UW = 9x -9, what is UW in units?

d. 36 units

Point M lies between points L and N on /LN. If LN= 12x + 16, what is the length of /LN in units?

d. 64 units

Using the segment addition postulate, which is true?

d. BC + CD = BD

What is the midpoint of /AB?

b. point G

The measure of <RST can be represented by the expression (6x + 12). What is m<RST in degrees?

c. 120°

If <PQR measures 75°, what is the measure of <SQR?

c. 53°

If PR = 4x - 2 and RS = 3x - 5, which expression represents PS?

c. 7x - 7

Raj correctly determined that ray LH is the bisector of <GLI. Which information could he have used to determine this?

c. m<GLI = 2m<GLH

Given that m<KLH = 120°, which statement about the figure must be true?

d. m<HLI = m<ILM

What is the midpoint of /FB?

d. point L