Draw the perpendicular bisector of whose length is 8.3 cm. (i) Take any point P on the bisector drawn. Examine whether PX = PY. (ii) If M is mid-point of , what can you say about the lengths MX and MY?

Question

KnowledgeBoat · Accepted Answer

Steps: 1. Draw a line segment of length 8.3 cm. 2. With X as centre and any suitable radius , draw arcs on each side of . 3. With Y as centre and the same radius, draw arcs on each side of to cut the previous arcs at C and D. 4. Draw line CD. This line CD is the required perpendicular bisector of . 5. Mark any point P on the bisector CD. 6. Let CD meet at point M. (i) On measuring PX and PY with the help of a ruler or divider, we find that PX = PY. Hence, yes, PX = PY. (ii) Since M lies on the perpendicular bisector of and M is the mid-point of , therefore, . Hence, the lengths MX and MY are equal.

Mathematics

Draw the perpendicular bisector of whose length is 8.3 cm. (i) Take any point P on the bisector drawn. Examine whether PX = PY. (ii) If M is mid-point of , what can you say about the lengths MX and MY?

Constructions

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