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Parallel Lines

Non-intersecting straight lines, which do not meet when produced however far on either side, are called ‘parallel’.

parallel-300x122

The distance between the parallel lines AB and CD is the length of the perpendicular PQ from P (any point in AB) to CD.

parallel1-300x142

The distance between any two parallel lines will always remain the same. A line is parallel to itself. Through a given point, only one straight line can be drawn parallel to another straight line.

parallel2-300x274

A ‘transversal’ is a straight line which cuts two or more straight lines.

parallel3-300x230

The pair of angles 1 and 5, 2 and 6, 3 and 7, 4 and 8 are called ‘corresponding angles’.

The pair of angles 3 and 5, 4 and 6 are called ‘alternate angles’.

Example: Find the value of x.

parallel4-300x239

10x + 5 = 65° (corresponding angles)

10x + 5 – 5 = 65° – 5

10x = 60°

\frac{10x}{{10}} = \frac{60}{{10}} => x = 6

age word problems

 

  1.   What is the measure of the indicated angle?                                                                                                  parallel5
  2. Solve for x:                                                                                                                                                                          parallel6-300x268
  3. True or False:                                                                                                                                                                                                                             When a transversal cuts two parallel lines, then the pairs of corresponding angles so formed are equal. __________
  4. Solve for x:                                                                                                          parallel7-300x274
  5. Find the value of x:                                                                                                                                                  parallel8-300x224
Answer key
  1. 78°
  2. 9
  3. True
  4. 6
  5. 8

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