Question
In the given figure, ____ is perpendicular to AB.
- AB
- PQ
- XY
- CD
Hint:
When parallel lines are cut by a transversal,
- The corresponding angles that are formed are always equal.
- The alternate interior angles that are formed are equal.
- The alternate exterior angles that are formed are equal.
- The consecutive interior angles (co-interior angles) that are formed are supplementary.
- The corresponding angles that are formed are always equal.
- The alternate interior angles that are formed are equal.
- The alternate exterior angles that are formed are equal.
- The consecutive interior angles (co-interior angles) that are formed are supplementary.
The correct answer is: PQ
Here AB and CD are two parallel lines cut by a transversal line PQ
When parallel lines are cut by a transversal,
- The corresponding angles that are formed are always equal.
- The alternate interior angles that are formed are equal.
- The alternate exterior angles that are formed are equal.
- The consecutive interior angles (co-interior angles) that are formed are supplementary.
From the above figure 1 = 2
Thus, the transversal PQ is perpendicular to parallel lines AB and CD.
- The corresponding angles that are formed are always equal.
- The alternate interior angles that are formed are equal.
- The alternate exterior angles that are formed are equal.
- The consecutive interior angles (co-interior angles) that are formed are supplementary.
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and 
.
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Know what are parallel lines and what are intersecting lines.
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