## Draw a Quadrilateral

## Work Time

# Draw a Quadrilateral

On a new sheet of paper, draw a quadrilateral by following these steps:

- Draw a horizontal line that is 4 in. long.
- On the left side of the segment, construct an acute angle that opens to the right by drawing a line segment that intersects the left end of the horizontal line. Make the line 3 in. long.
- On the right side of the horizontal segment, construct an angle that is the supplementary angle to the first angle and that opens to the left by drawing a line segment that intersects the right end of the horizontal line. Make the line 3 in. long.
- Draw a line to connect the ends of the two 3-\ in. lines.

Use your finished quadrilateral to do the following.

- Measure the length of the last side that you drew. How long is it?
- Measure each of the angles. What type of figure did you draw? How do you know?
- Draw the two diagonals (the segments from one vertex to the opposite vertex). The diagonals will intersect, and the intersection will “divide” each diagonal into two segments. Measure the length of the two segments in each diagonal. What do you notice?

## Hint:

- How are the angles in this figure related?
- What is the sum of the angles?