Question

prepare for rigid transformations
1 think about what you know about geometric figures and parallel lines. fill in each box. use words, numbers, and pictures. show as many ideas as you can.
in my own words lines that never meet
my illustrations
parallel lines
examples
non - examples
2 identify all the pairs of parallel sides of each figure.

Explanation:

Parallel lines are lines in a plane that never intersect. In geometric figures, parallel - sided shapes like rectangles, parallelograms, and some trapezoids have parallel sides. Examples of parallel lines in real - life are railway tracks. Non - examples are intersecting lines like the hands of a clock at most times. For the figures: In a parallelogram (diamond - shaped figure), both pairs of opposite sides are parallel. In a regular hexagon, there are three pairs of parallel sides. In a trapezoid, there is one pair of parallel sides (the bases).

Answer:

Examples: Railway tracks, opposite sides of a rectangle, opposite sides of a parallelogram.
Non - Examples: Intersecting lines on a cross - road, the minute and hour hands of a clock at 3:15 (they are not parallel as they intersect at the center of the clock).
For the figures:

• Diamond - shaped figure (parallelogram): 2 pairs of parallel sides.
• Hexagon: 3 pairs of parallel sides.
• Trapezoid: 1 pair of parallel sides.