Question
What are the lines parallel to CD?
- IJ || CD
- EF || CD
- AB || CD
- GH || CD
Hint:
We are given a figure with six lines. We are asked about lines parallel to one of the lines. Parallel lines are the lines that do not intersect each other. We have to find the lines which are parallel to the given line.
The correct answer is: AB || CD
The given lines are AB, CD, EF, GH, IJ and one line intersecting CD at point C.
We are asked to find lines parallel to the line CD.
The lines which do not intersect with each other are called as parallel lines.
We will observe the figure and find the parallel lines.
Parallel lines are denoted by symbol “∥”
Line AB is parallel to the line CD.
AB ∥ CD
Other lines are intersecting the given line. It means they are crossing over with CD at some point.
The line GH is not touching CD. But if we extend the line CD, it will meet the line at some point.
If we extend any of the line from CD and AB, they will not meet at any point.
For such questions, we should know about parallel lines and perpendicular lines. The line joining the two parallel lines will be perpendicular to both the lines. So, the other way to check for parallel lines is by drawing a line joining both.
Related Questions to study
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For such questions, we should know about parallel objects and perpendicular objects. The line joining the two parallel objects will be perpendicular to both the objects. So, the other way to check for parallel objects is by drawing a line joining both.
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For such questions, we should be careful about the intersecting points. The lines which cross each other at a point are intersecting lines. And no two lines can intersect each other at more than one point.
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For such questions, we should know properties of vertical angles. We should know the rules of algebra to solve the equations. The alternate way to solve the question will be using supplementary angles. When two angles intersect, the sum of adjacent angles is 180°.
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