Draw a line segment of length 8.8 cm. Using ruler and compass, divide it into four equal parts. Verify by actual measurement.
Constructions
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Question

Draw a line segment of length 8.8 cm. Using ruler and compass, divide it into four equal parts. Verify by actual measurement.

KnowledgeBoat · Accepted Answer

Steps: 1. Draw a line segment of length 8.8 cm. 2. Construct the perpendicular bisector of AB. Let it meet AB at the point M. Then M is the mid-point of AB, so AM = MB = 4.4 cm. 3. Construct the perpendicular bisector of AM. Let it meet AM at the point N. Then N is the mid-point of AM, so AN = NM = 2.2 cm. 4. Construct the perpendicular bisector of MB. Let it meet MB at the point O. Then O is the mid-point of MB, so MO = OB = 2.2 cm. Thus, the line segment is divided into four equal parts AN, NM, MO and OB. On measuring with a ruler, we find AN = NM = MO = OB = 2.2 cm. Hence, the line segment has been divided into four equal parts, each of length 2.2 cm.

Mathematics

Draw a line segment of length 8.8 cm. Using ruler and compass, divide it into four equal parts. Verify by actual measurement.

Constructions

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