Which two pairs of points lie on perpendicular lines?

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

Answer:

a and c

Step-by-step explanation:

Find the slope between each pair of points.

a. m = (16 − 10) / (6 − 3) = 2

b. m = (-3 − -12) / (-5 − -8) = 3

c. m = (3 − 4) / (2 − 0) = -1/2

Perpendicular lines have opposite inverse slopes. So a and c are perpendicular.

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Which of the following statements best describes the relationship between a line and a point in a plane? exactly one plane conta

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Answer: (b) exactly one plane contains a given line and a point not on the line.

Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-

(i) The intersection of two lines determines a point,

(ii) Two parallel lines give result to a plane,

(iii) A line and a point not on the line determines a plane, etc...

Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.

Hence, the correct option is (b).