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  1. The Parallelogram. A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms! Example: A parallelogram with: all sides equal and. angles "A" and "B" as right angles.

  2. If two lines are parallel then the interior angles on the same side of the transversal are supplementary (they add uP to \(180^{\circ}\)). If the interior angles of two lines on the same side of the transversal are supplementary then the lines must be parallel.

  3. 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.

  4. 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.

    • the lengths tab is a line parallel to line side1
    • the lengths tab is a line parallel to line side2
    • the lengths tab is a line parallel to line side3
    • the lengths tab is a line parallel to line side4
    • the lengths tab is a line parallel to line side5
  5. 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.

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  7. A square has four lines of symmetry. There are four ways the square can be cut into a pair of mirrored halves. Two lines of symmetry go through the midpoints of the opposite parallel sides and two ...

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