Study the diagram. The line is perpendicular to line . Is PE bisect CG true or false?

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True

False

answer is A.

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Detailed Solution

We know that a point is a basic geometrical shape that is always named by a letter from the English alphabet. We also know that a line segment is a part of the line which is bounded by two endpoints. The length of a line segment is the distance between two endpoints. We see in the given figure that we are given 8 points A, B, C, D, E, F, G, and H which have numerical values right below them as 1,2,3,4,5,6,7,8 respectively
We are asked if PE bisects CG. We know that the bisection of a line segment means dividing a line segment into two line segments of equal length. PE which is on the perpendicular line m divides CG into two line segments CE and GE. We move for C to E and find the distance of CE = 2. Similarly, we move from E to G and find a distance of GE = 2. Since CE = GE it is true PE bisects CG.

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