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Standard X

Mathematics

Division of a Line Segment

AB is a line ...

Question

AB is a line segment which is inclined to line XY, such that they intersect at point O. A line PQ is drawn which intersects the line XY at point P at the same angle of inclination as AB. Line PQ is _________ to line segment AB.

parallel

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perpendicular

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bisector

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concurrent

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Solution

The correct option is A
parallel

The angle made by line segment AB and line PQ with line XY are equal. Therefore, by the corresponding angles postulate, the line segment AB is parallel to PQ.

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Similar questions

AB is a line segment which is inclined to line XY, such that they intersect at point O. A line PQ is drawn which intersects line XY at point P at the same angle of inclination as AB. Line PQ is __ to line segment AB.

Q. AB is a line segment AX and BY are two equal line segments drawn opposite sides of line AB such that AX ||BY.
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Δ A P X ≅ Δ B P Y

(b) line segments AB and XY bisect each other at P.

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AB is a line segment which is inclined to line XY, such that they intersect at point O. A line PQ is drawn which intersects the line XY at point P at the same angle of inclination as AB. Line PQ is _________ to line segment AB.

The correct option is A parallel The angle made by line segment AB and line PQ with line XY are equal. Therefore, by the corresponding angles postulate, the line segment AB is parallel to PQ.

The correct option is A
parallel

The angle made by line segment AB and line PQ with line XY are equal. Therefore, by the corresponding angles postulate, the line segment AB is parallel to PQ.