Hello! Can someone check and see if these answers are correct? Thanks!
1.) If a line with slope of 1/2 is perpendicular to another line, then the slope of the other line is -2. TRUE or FALSE? (I choose True)
2.) If Segment QR || Segment TU and the slope of Segment TU is -3, then the slope of Segment QR is -3. TRUE or FALSE? (I choose True)
3.) The slope of the segment with endpoints (1, 5) and (-3, 1) is -1. TRUE or FALSE? ( I choose False)
m' = -1/m
m' = -1 /(1/2) = -2 correct
2. yes true
3. m = (1-5)/(-3-1) = -4/-4 = 1 so false
I agree with your choices
Sure, I can help you check the correctness of these answers.
1.) If a line with slope of 1/2 is perpendicular to another line, then the slope of the other line is -2.
To determine if this statement is true or false, we need to recall the property of perpendicular lines. Perpendicular lines have slopes that are negative reciprocals of each other.
The negative reciprocal of 1/2 is -2. So, if a line has a slope of 1/2, then the slope of the perpendicular line is indeed -2. Therefore, the answer is TRUE.
2.) If Segment QR || Segment TU and the slope of Segment TU is -3, then the slope of Segment QR is -3.
To check the validity of this statement, we need to recall the properties of parallel lines. Parallel lines have the same slope.
If the slope of Segment TU is -3, it does not necessarily mean that the slope of Segment QR is also -3. Therefore, the statement is FALSE.
3.) The slope of the segment with endpoints (1, 5) and (-3, 1) is -1.
To find the slope of a segment with given endpoints, we use the formula:
slope = (y2 - y1) / (x2 - x1)
Substituting the given coordinates, we have:
slope = (1 - 5) / (-3 - 1) = -4 / -4 = 1
The slope is 1, not -1. Therefore, the statement is FALSE.