Geometric Constructions
USING ONLY AN UNMARKED STRAIGHT EDGE AND A COMPASS CONSTRUCT THE FOLLOWING:
(A) A RHOMBUS GIVEN: ONE SIDE AND ONE ANGLE
(B) A PARALLELOGRAM GIVEN: TWO ADJACENT SIDES AND THE INCLUDED ANGLE
(C) A PARALELLOGRAM GIVEN: THE DIAGONALS AND THE ANGLE BETWEEN THEM
********I NEED STEP-BY-STEP INSTRUCTIONS ON HOW TO CONSTRUCT EACH OF THESE - YOU CAN USE DRAWINGS IF THAT IS EASIER. I HAVE TO BE ABLE TO CONSTRUCT THESE ON MY OWN AND I HAVE NEVER DONE CONSTRUCTIONS BEFORE THIS ASSIGNMENT!!!!!!! SO PLEASE, PLEASE, PLEASE BE SPECIFIC!
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It was very hard to convey the procedure across. However I have tried my best with figures, colours and explanations. It took quite a bit of effort to do so.
Please find your solution in the attachment.
Hope this helped.
(A) A RHOMBUS GIVEN: ONE SIDE AND ONE ANGLE
Draw the side first.
With the angle given, mark a point above that line with your compass by placing the stationary point of the compass at one end the end of the line.
Since, in a RHOMBUS, sum of the angles adjacent sides = 180, ...
Solution Summary
Geometric constructions of parallelograms are found.