Question

a) write whether the given points are collinear or not collinear

1. points a, b and c
2. points x, y and z
3. points k, l, m and n
4. points e, f and g

b) write true or false.
a) points t, u and v are collinear.
b) point u is collinear with the points r and s.
c) points s, r and q are not collinear.
d) points p, r and u are collinear.
e) point s is not collinear to tw and collinear with the point v.

Explanation:

Step1: Recall collinear - point definition

Collinear points lie on the same straight - line.

Step2: Analyze part A - 1

Points A, B and C lie on the same straight - line, so they are collinear.

Step3: Analyze part A - 2

Points X, Y and Z lie on the same straight - line, but point X is not on the line containing Y and Z, so they are not collinear.

Step4: Analyze part A - 3

Points K, L, M and N: Points K and L are not on the line containing M and N, so they are not collinear.

Step5: Analyze part A - 4

Points E, F and G lie on the same straight - line, so they are collinear.

Step6: Analyze part B - a

Points T, U and V do not lie on the same straight - line, so it is false.

Step7: Analyze part B - b

Point U is not on the line containing R and S, so it is false.

Step8: Analyze part B - c

Points S, R and Q do not lie on the same straight - line, so it is true.

Step9: Analyze part B - d

Points P, R and U do not lie on the same straight - line, so it is false.

Step10: Analyze part B - e

Point S is not on the line TW and is on the line containing V, so it is true.

Answer:

A)

1. Collinear
2. Not collinear
3. Not collinear
4. Collinear

B)
a) False
b) False
c) True
d) False
e) True