Construct a trapezium ABCD in which AB || CD, AB = 4 cm , BC = 3.2 cm, AD = 4 cm and angle B = 60°. Write the steps of construction. How many trapeziums do you get?
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in the question it's given AB is parallel to CD and the line CB is transversal so outer angle C=angleB which is 60°
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Trapezium ABCD is constructed
Step-by-step explanation:
Given the measures to construct trapezium ABCD.
AB || CD, AB = 4 cm , BC = 3.2 cm, AD = 4 cm and angle B = 60°.
Construction steps:
- Draw a line segment AB = 4 cm
- Draw a line making an angle of 60° at B using protractor.
- Take a length of 3.2 cm, draw an arc on angle drawn using compass and mark a point C. This gives BC.
- Draw a line parallel to AB passing through C using setsquares.
- Take a length of 4 cm using compass from A and draw an arc cutting the parallel line
- Mark the point as D and join AD.
- Trapezium ABCD is constructed.
One trapezium ABCD is constructed.
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