Segment Addition, Angle Addition, Angle Pairs

Find MK.

• 6

• 4

• 14

• 8

Point B is between points A and C. AB = 2x − 3, BC = 7x − 10, and AC = 32. What is the value of x?.

What does the word BISECT mean?

• To cut something into more than five pieces.
• It is a plane with two sets of wings.
• A shape that has three sides. 
• To cut something into two congruent pieces or in half.

Suppose Q is the midpoint of PR, PQ=x+10, and QR=4x−2.

What is the value of PR?

• PR = 4

• PR = 8

• PR = 14

• PR = 28

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

• 11

• 12

• 8

Which postulate or definition states that
m∠ADB + m∠BDC = m∠ADC?

• Segment Addition Postulate
• Angle Addition Postulate
• Definition of Angle Bisector
• Definition of Congruent Angles

What is AB?

Suppose point D is in the interior of ∠ABC, m∠ABC=12x−110, m∠ABD=3x+40, and m∠DBC=2x−10.

What is m∠ABC?

• 20

• 30

• 100

• 130

Solve

• 50°
• 58°
• 115°
• 226°

Suppose Ray BD bisects ∠ABC. If m∠ABD=12x+24 and m∠DBC=20x+16, what is m∠ABC?