Vocabulary
2 lines that move in the same direction and do not intersect
Parallel Lines
A and D
Vertical
A = 110. Find D
A = 2x + 50. B = x + 40
Solve for x.
x = 30
Which property would solve this:
x - 5 = 10
Addition Property of Equality
A line that crosses other lines
Transversal Line or Transverse Line
A and E
Corresponding
A = 110. Find C
C = 70
C = 4x - 40. F = 6x - 80
Find Angle C.
C = 40
Which property would solve this:
4x = 16
Division Property of Equality
Angles that are opposite each other at an intersection
Vertical
A and H
Alternate Exterior
A = 110. Find E
E = 110
E = 10x - 60. A = 2x + 20
Find Angle B.
B = 140
A = A
Reflexive Property
Supplementary
A and G
Consecutive Exterior
A = 110. Find G
G = 70
H = 7x + 11. B = 8x - 11
Find Angle A.
A = 95
A = B. Therefore, B = A
Symmetric Property of Equality
2 angles that appear in the same position at different intersections
Corresponding
C and E
Consecutive Interior
A = 110. Find F
F = 70
Angle D = F + G
Find the measure of Angle D.
D = 120
A = B AND B = C. Therefore, A = C
Transitive Property