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Parallel Lines with a Transversal

Line l and m ...

Question

Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as centre an arc FG is drawn (as shown in the figure).

What is the relation between $∠$ FAG and $∠$ MBD?

A

alternate exterior angles

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B

alternate interior angles

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C

corresponding angles

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D

vertically opposite angles

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Solution

The correct option is B alternate interior angles
$∠$ FAG and $∠$ MBD are alternate interior angles.

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Line l and m are parallel to each other. A transversal intersects them at points A and B.

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[4 MARKS]

Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as centre an arc FG is drawn (as shown in the figure).

What is the relation between length of arc DM and arc FG?

Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

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