To determine which of the options are true, we need to calculate the slopes of the lines between the given points.
The slope of a line can be calculated using the formula: slope = (change in y) / (change in x).
For the line between point L (10, 10) and point N (6, 4):
slope = (4 - 10) / (6 - 10) = -6 / -4 = 3/2.
For the line between point Q (6, 4) and point S (10, 4):
slope = (4 - 4) / (10 - 6) = 0 / 4 = 0.
Now let's check each option:
A: mn/lm = rs/qr
mn/lm = (3/2) / (1) = 3/2
rs/qr = (0) / (4) = 0
The ratios are not equal, so option A is not true.
B: lm/mn = qs/qr
lm/mn = (1) / (3/2) = 2/3
qs/qr = (4 - 4) / (10 - 6) = 0 / 4 = 0
The ratios are not equal, so option B is not true.
C: lm/ln = qs/qr
lm/ln = (1) / (3) = 1/3
qs/qr = (4 - 4) / (10 - 6) = 0 / 4 = 0
The ratios are not equal, so option C is not true.
D: mn/lm = qr/qs
mn/lm = (3/2) / (1) = 3/2
qr/qs = (4) / (0) = undefined
The ratios are not equal, so option D is not true.
None of the options are true.
The line shown has a slope of between point L and point N and between point Q and point S. the image shows two triangles. the hypotenuses are on line c points sqr are: s- (10,10) q-(6,4) r- (10,4
which of the following are true?
A: mn/lm = rs/qr
B: lm/mn = qs/qr
C: lm/ln = qs/qr
D: mn/lm = qr/qs
1 answer