Answer:
it could be 1. c 2. a 3. d 4. b
or it could be the answers i did for last time in the pic: (that is my old account that got banned)
but i think the answers that are right are the ones i did rn of 1. c 2. a 3. d 4. b
RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
You'd use the equation y2-y1/x2-x1
0-(-3)/-7-5 = 3/-12 = -1/4
So -1/4 would be the slope
m= -1/4