Construct a quadrilateral ABCD in which AB=1.0cm, angle ABC=120°, angle=60°,BC=7cm and AD=11cm
To construct quadrilateral ABCD, follow the given steps:
Step 1: Draw a line segment AB of length 1.0 cm.
Step 2: At point A, draw an angle of 120 degrees.
Step 3: At point B, draw an angle of 60 degrees.
Step 4: Draw a line segment BC of length 7 cm, starting from point B and making an angle of 60 degrees with AB.
Step 5: Draw a line segment AD of length 11 cm, starting from point A and making an angle of 120 degrees with AB.
Step 6: Let the intersection of line segments AD and BC be point D.
Step 7: The quadrilateral ABCD is now formed, with AB = 1.0 cm, angle ABC = 120 degrees, angle BCD = 60 degrees, BC = 7 cm and AD = 11 cm.
To construct the quadrilateral ABCD with the given measurements, follow the steps below:
1. Draw a straight line segment BC of length 7 cm.
2. From point B, draw an angle measuring 120 degrees using a compass. Label the endpoint of this line as A.
3. From point C, draw an angle measuring 60 degrees using a compass. Label the endpoint of this line as D.
4. Measure and mark a line segment of 1.0 cm on line segment AB.
5. Measure and mark a line segment of 11 cm on line segment AD.
6. Connect points A and D to complete the quadrilateral.
Make sure all the lines and angles are accurately drawn to achieve the desired construction.