Question

Construct a trapezium abcd with AB PARALLEL CD WHERE AB IS 6CM CD IS 4CM ANGLE A IS 70 DEGREE ANGLE ABD IS 30 DEGREE

Answer 1

Answer:

Step-by-step explanation:

You can construct the 30 degree angle, and you can choose any line segment length CD, calling it 4 units, and therefore you would also be able to construct segment AB of length 6 (using a copy of the 4 added to the bisection of the "4").

 

Therefore you can make a Z shape beginning with AB=6 at top of page, and a 300 angle at B, and from there, runnng downward some distance to point D, then construct DC=4 being parallel to AB due to also constructing angle BDC = 30o. BUT...

 

The problem is, however, there's no strict construction for the 70o angle at A, beneath AB, which will enable a ray from A to be drawn so that intersects the diagonal emanating from B down to find point D.

 

It seems that the 70 degree angle at A would have to be made using a protractor--and that (to me, a traditionalist), is not allowed in the strict, classical Euclidean construction sense. But using the contractor would enable you to DRAW the desired trapezium.

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