Construct ABCD with AB =5.5cm BC=3.5cm, CD=4cm, AD=5cm, and angle A=45°, with construction steps

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  see the attachment

Step-by-step explanation:

1. Lay out points A and B so they are 5.5 cm apart.

2. Set the compass to 5 cm and draw arcs that intersect above and below segment AB. Label the intersection points Y and Z.

3. Draw segment YZ as a perpendicular bisector of AB.

4. Label the intersection of YZ and AB point E.

5. Using E as the center and AE as the radius, draw an arc that intersects segment YZ at F.

6. Draw segment AD through F. D will lie on the circle of radius 5 cm centered at A. This segment makes 45° angle DAB.

7. Draw an arc of radius 4 cm centered at D through the vicinity of point C.

8. Draw an arc of radius 3.5 cm centered at B through the vicinity of C. The intersection point with the arc of step 7 is point C.

9. Draw quadrilateral ABCD meeting the given requirements.

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About the attachment

My geometry tool draws circles of a given radius more easily than arcs of a given radius, so you see circles where only arcs are needed.

depends on how many days you are talking about

step-by-step explanation: