Construct on a single diagram parallelogram ABCD with AB=8cm,BC=10cm and ABC=120 degrees
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Make a straight line AB then construct an angle of 120 degrees at point B. Cut off an arc equal to 10 cm on the straight line produced from the 120 degree line. You now have created line BC.
Once you have an intersection point, using a compass, draw an arc with the compass stretched up to 8 cm from the point C. Similarly, draw an arc with the compass stretched up to 10 cm from point A, the first point you drew.
Once you have intersecting arcs, connect the intersections and you've constructed a parallelogram.
For this construction, we use the property of parallelograms that opposite sides are equal in their length.
To construct a parallelogram ABCD with given measurements, follow these steps:
Step 1: Draw a straight line and label two of its points as A and B, making sure that AB is 8cm long.
Step 2: Use a protractor to measure an angle of 120 degrees at point B. This will be angle ABC.
Step 3: From point B, use a compass to mark an arc that intersects the line drawn in step 1. Label this intersection point as C.
Step 4: Use a ruler to draw a line segment from point A to point C. This will be side AC.
Step 5: Use a protractor to measure a 60-degree angle at point C. This will be angle BCD.
Step 6: From point C, use a compass to mark an arc that intersects the line segment AC drawn in step 4. Label this intersection point as D.
Step 7: Use a ruler to draw a line segment from point D to point B. This will be side BD.
Step 8: Finally, draw a line segment connecting points A and D. This will complete the parallelogram ABCD.
Remember to double-check your measurements and make sure that opposite sides are parallel and equal in length.
To construct a parallelogram ABCD with the given information, we will follow these steps:
Step 1: Draw a line segment AB with a length of 8 cm. This will represent one of the sides of the parallelogram.
Step 2: From point A, draw an angle of 120 degrees using a protractor. This will be angle ABC.
Step 3: Measure a line segment BC with a length of 10 cm starting from point B and along the line of the drawn angle. This will represent another side of the parallelogram.
Step 4: Draw a line segment CD parallel to AB, and a line segment AD parallel to BC, such that they have the same length as AB and BC, respectively. These will represent the other two sides of the parallelogram.
Step 5: Label the points where the line segments intersect as D.
Step 6: Finally, connect the points A, B, C, and D to form the parallelogram ABCD.
Now you have constructed a parallelogram ABCD with AB = 8 cm, BC = 10 cm, and ∠ABC = 120 degrees.