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Question

Observe the figure and complete the table:

Names of Points Collinear Points Non-collinear Points
K, Y, T
X, Y, T
T, Y, Z
X, Y, Z

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Solution

Collinear points are the points that lie on the same line, whereas non-collinear points are the points that do not lie on the same line.

Here, points T, Y and Z do not lie on the same line; thus, they are non-collinear. Points X, Y and Z, on the other hand, lie on the same line; thus, they are collinear.
Now, the table can be completed as follows:
Name of Points Collinear Points Non-Collinear Points
K, Y, T
X, Y, T
T, Y, Z
X, Y, Z

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