Properties of Quadrilaterals

Author:
Rodrigo

1. Parallelogram

Draw 2 parallelograms of different sizes. Use the polygon tool to make opposite sides parallel. Locate all vertices on the intersection of grid lines. Measure the lengths of the opposite sides and the size of opposite angles. Draw the diagonals and measure the distance from the vertex to the point of intersection of the diagonals.

What can you conclude about all the measures?

2. Rectangle

Draw 2 rectangles of different sizes. Use the polygon tool to make opposite sides parallel. Locate all vertices on the intersection of grid lines. Draw the diagonals and measure the lengths of opposite sides and diagonals.

What can you conclude about the diagonals?

3. Rhombus

Draw 2 rhombuses of different sizes. Use the polygon tool to make all sides equal and opposite sides parallel. Locate all vertices on the intersection of grid lines. Measure the size of opposite angles. Draw the diagonals and measure the distance from the vertex to the point of intersection of the diagonals.

What do you notice about opposite angles? At what angle do the diagonals intersect? What can you conclude about the diagonals?

4. Square

Use the regular polygon tool to draw 2 squares of different sizes. Draw the diagonals. Measure the length of the diagonals and the distance from the vertex to the point of intersection of the diagonals.

How are the diagonals of a square? At what angle do the diagonals intersect?