6
Triangle MNP and triangle JKL are similar right triangles.
K к
L
р
Which proportion can be used to show that the slope of IL is equal to the slope of MP?
A 0 - (-7)
4- (-4)
-4 - (-10)
8- (-1)
C 0 - (-4)
4- (-7)
-4-(-1)
8- (-10)
B
0 - 4
4-(-7)
--4-8
- 1 - (-10)
D4=(27) = -1-(-10)
4 - 8
Answers
Answer:
its b
Step-by-step explanation:
The proportion that can be used to show that the slope of JL is equal to the slope of MP is (0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))
How to determine the proportion that can be used to show that the slope of JL is equal to the slope of MP?From the question, we understand that triangle MNP and triangle JKL are similar right triangles.
This means that triangle MNP and triangle JKL have the same slope
From the figure, we have the following coordinates of the triangles
J = (-7, 4)
L = (-4, 0)
M = (-10, 8)
P = (-1, -4)
The slope is calculated as
Slope = (y2 - y1)/(x2 - x1)
So, we have
JL = (0 - 4)/(-4 - (-7))
Also, we have
MP = (-4 - 8)/(-1 - (-10))
Equate both equations
So, we have
(0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))
Hence, the proportion that can be used to show that the slope of JL is equal to the slope of MP is (0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))
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