Line CD is perpendicular bisector of XY. If length of XP is 10.3 cm, then the length of XY is ?

10.3 cm

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20.6 cm

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5.1 cm

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30.4 cm

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Solution

The correct option is B 20.6 cm
Given, CD is the perpendicular bisector of XY
$\Rightarrow$ XP = PY
XY = XP + PY
= 10.3 + 10.3
= 20.6 cm

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Question 3 (a)

Draw the perpendicular bisector of $¯ ¯¯¯¯¯¯¯ ¯ X Y$ whose length is 10.3 cm
Take any point P on the bisector drawn. Examine whether PX = PY.

¯ ¯¯¯¯¯¯¯ ¯ X Y

10.3 c m

P

P X = P Y

Draw the perpendicular bisector of $¯ ¯¯¯¯¯¯¯ ¯ X Y$ whose length is $10.3 c m$

If $M$ is the mid-point of $¯ ¯¯¯¯¯¯¯ ¯ X Y$ , what can you say about the lengths $M X$ and $X Y$ ?

Draw the perpendicular bisector ofwhose length is 10.3 cm.

(a) Take any point P on the bisector drawn. Examine whether PX = PY.

(b) If M is the mid point of, what can you say about the lengths MX and XY?

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