Corresponding Angles
How many pairs of corresponding angles are there?
4 pairs
2 pairs
How MANY pairs of consecutive angles are there?
2 Pairs
What is true about the slopes of parallel lines?
Slopes are the same, i.e. equal
Step 2:
<2 and <4 are supp. by Linear Pair Thm.
What are the corresponding pairs?
(1, 5) and (2, 6) and (3, 7) and (4, 8)
What are the alternate interior angles? exterior? LABEL!!
Interior (3, 6) and (4, 5)
Exterior (1, 8) and (2, 7)
What are the consecutive pairs?
(4, 6) and (3, 5)
What are true about perpendicular lines?
Slopes are opposite reciprocal
Step 3:
m<2 + m<4 = 180 degrees by def. of supp. <'s.
m<8 = 130 and m< 4 = 33x - 2; find x.
x = 4
m<1 = 2x +14 and m<7 = 3x + 8; find x.
x = 6
m<4 = (6x + 13) and m<6 = (10x - 25); find x.
x = 12
(#16 b) Write the equation of a line perpendicular to y = 1/2x + 5 with y-int. of -2.
y = -2x - 2
m<2 + m<4 = m<4 + m<6 by transitive prop.
(#4) m<2 = (4x - 1) and m<6 = (y - 31) and m<8 = 105 degrees; what is x + y?
x + y = 125
m<3 = 15x + 10 and m<5 = 17x - 2; what's the m<7?
m<7 = 100 degrees
m<3 = (39x + 8) and m<5 = (19x - 2); find m<1.
m<1 = 55 degrees
(#16 c) Line parallel to ine 3x + 4y + 8 = 0 with y-int. of 4.
y = -3/4x + 4
Step 5:
m<2 = m<6 by subtraction property of equality
(#3) m<3 = (x2 + 15) and m<7 = 8x, then which of the following statements are true?
a. x = 5 b. x = 3
c. m<3 = 40 degrees e. m<3 = 24 degrees
m<2 = (x2 -18) and m<7 = (10 - 7x); find m<7.
m<7 = 31 degrees
(#1, 2) m<3 = (3x - 18) and m<5 = (y + 25) and m<7 = 75 degrees; find x and y.
x =31; y = 80
(#16 d) Line perpendicular to line 2x - 5y = 15 that passes through (10, 1).
y = -5/2x +26
Step 6:
East St ll West St b/c corresponding angles <2 and <6 have equal measure.