Construct a parallelogram ABCD with AB=6cm,CD=4.5cm,and BD=7.5cm.
To construct a parallelogram ABCD with the given measurements, follow these steps:
1. Draw a line segment AB of length 6 cm using a ruler.
2. From point B, draw a line segment BD of length 7.5 cm in any direction using a ruler.
3. Using a compass, place the needle at point D and adjust the width of the compass to 4.5 cm.
4. While keeping the compass width fixed, draw an arc intersecting line BD at two points. Mark these points as C and C'.
5. Draw a line segment CD connecting points C and D.
You have now constructed a parallelogram ABCD where AB=6 cm, CD=4.5 cm, and BD=7.5 cm.
Huh? If ABCD is a parallelogram.
AB∥CD
and has the same length.