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# Geometric Constructions

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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!

https://brainmass.com/math/geometry-and-topology/geometric-constructions-parallelograms-14275

#### Solution Preview

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.

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.

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