Answer:
Part A:
a. The slope of AB is
b. The slope of CD is
Part B:
a. The slope of A'B' is
b. The slope of C'D' is
Step-by-step explanation:
- The rule of a slope of a line whose endpoints are
and is
Part A:
∵ Point A = (3 , -3) and point B = (-2 , 1)
∵ Point C = (6 , 0) and point D = (1 , 4)
a.
∴
∴ The slope of AB is
b.
∴
∴ The slope of CD is
- The image of point (x , y) by translation to the left k units is (x - k , y)
- Translation doesn't change the slope of a line, so the line and its
image have same slope
Part B:
∵ Segments AB and CD are translated 2 units to the left to get
segments A′B′ and C′D′
∵ Point A' = (3 - 2 , -3) and point B' = (-2 - 2 , 1)
∴ Point A' = (1 , -3) and point B' = (-4 , 1)
∵ Point C' = (6 - 2 , 0) and point D' = (1 - 2 , 4)
∴ Point C' = (4 , 0) and point D' = (-1 , 4)
a.
∴
∴ The slope of A'B' is
b.
∴
∴ The slope of C'D' is