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Example 1: Find out which lines are parallel to each other in the given figure. Solution: All the three lines with arrows passing through them are parallel to each other, which means: a || b || c. Lines with the double arrows, i.e., line d and e are transversals of lines a, b, and c, but they are parallel to each other. So, we can say that d || e.
Sep 5, 2021 · Solution. since the arrows indicate parallel lines. because alternate interior angles of parallel lines are equal. . Answer: . Corresponding angles of two lines are two angles which are on the same side of the two lines and the same side of the transversal, In Figure , and are corresponding angles of lines and .
These lines are parallel, because a pair of Corresponding Angles are equal. These lines are not parallel, because a pair of Consecutive Interior Angles do not add up to 180° (81° + 101° =182°) These lines are parallel, because a pair of Alternate Interior Angles are equal. Mathopolis: Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10.
Solution: Only (i) has a pair of parallel line segments. (ii) Intersecting Lines: Two lines that have only one point in common are called intersecting lines.
Worksheet on Parallel Lines: 1. Draw the following: (i) Draw a line segment AB. Mark a point C above it. Draw a line segment through C parallel to AB. (ii) Draw a line segment AB of suitable length. Mark a point P above it. Draw PQ perpendicular to AB using set squares. (iii) Draw a vertical line segment AB. Mark a point H on its right side.
Parallel lines are seen in many common 2D shapes. For example, Each side of a square is made of a line segment that is part of a line. The opposite sides of a square are parallel. There are also many examples of parallel lines in real life. For example, The lines that pass by the sides of a table top are parallel.
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When any two parallel lines are intersected by another line called a transversal, many pairs of angles are formed. While some angles are congruent (equal), the others are supplementary. Observe the following figure to see parallel lines cut by a transversal. The parallel lines are labeled as L1 and L2 that are cut by a transversal. Eight ...
