The line segment joining (0,0) and (6,6) is d | vedclass

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Question

(B) Let the endpoints of the line segment be $A(0,0)$ and $B(6,6)$.To divide the segment into four congruent parts,we need three points $P, Q,$ and $R

Vedclass · Accepted Answer

$(4.5,4.5)$

Vedclass · Answer

(B) Let the endpoints of the line segment be $A(0,0)$ and $B(6,6)$.To divide the segment into four congruent parts,we need three points $P, Q,$ and $R$ that divide the segment in the ratio $1:3, 1:1,$ and $3:1$ respectively.The midpoint $Q$ is calculated as $(\frac{0+6}{2}, \frac{0+6}{2}) = (3,3)$.The point $P$ is the midpoint of $AQ$,which is $(\frac{0+3}{2}, \frac{0+3}{2}) = (1.5, 1.5)$.The point $R$ is the midpoint of $QB$,which is $(\frac{3+6}{2}, \frac{3+6}{2}) = (4.5, 4.5)$.Comparing these points with the given options,$(4.5, 4.5)$ is one of the dividing points.

The line segment joining $(0,0)$ and $(6,6)$ is divided into four congruent parts. Which of the following is one of the dividing points?

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