Properties of Parallelograms (1)
In a parallel ruler, the portions of the rulers and the crossbars that form a parallelogram are congruent. Try to investigate if this is always true in any parallelogram by working on the next activity. You may discover other properties of a parallelogram inductively.
Activity
- Draw a parallelogram. Name it parallelogram ABCD.
- Measure the lengths of opposite sides. What do you observe?
- Find the measures of opposite angles. What do you observe?
- Find the measures of consecutive angles. What do you observe?
- Draw diagonal What can you say about the triangles formed? Can you justify your observations?
- Draw the second diagonal What can you say about the lengths of the two diagonals?
- Name the point of intersection of the two diagonals as point E. Is point E the midpoint of diagonal Is it the midpoint of diagonal
- Make a summary of all your observations.
This activity provides insights on the important properties of parallelograms.
