Parallel Lines — Important Questions
Maharashtra Board · Class 9 · Mathematics
45 important questions from Parallel Lines for Maharashtra Board Class 9 Mathematics, with answers. Includes multiple choice, multiple correct and text.
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Important Questions from Parallel Lines
In parallel lines cut by a transversal, which angles are always equal? (Select all correct answers)
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Corresponding angles, Alternate interior angles, Alternate exterior angles, Vertical angles
In parallel lines: corresponding angles are equal, alternate interior angles are equal, alternate exterior angles are equal, and vertical angles are always equal. Adjacent angles are supplementary, not equal.
The sum of all angles of a triangle is 180°. This can be proved using:
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Properties of parallel lines
The angle sum property of triangles is proved by drawing a line parallel to one side through the opposite vertex and using alternate angles property.
If a line is perpendicular to two different lines, then those two lines are:
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Parallel to each other
This is a corollary of parallel line properties. If a line is perpendicular to two lines, both angles are 90°, making them corresponding angles that are equal, so the lines are parallel.
In the given figure, line AB || CD and EF is a transversal. If ∠AEF = 120°, find ∠EFD.
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60°
∠AEF and ∠EFD are interior angles on the same side of transversal EF. They are supplementary: ∠AEF + ∠EFD = 180°. So ∠EFD = 180° - 120° = 60°.
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