Question

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

Answer 1

Step 1: Steps for construction

Take AB at 5.5 cm

Step 2: construct as 45 degree

Step 3: A draw angle ABY=45 degree

Step 4: cut off from AY, a segment AD=5 cm

Step 5: With B as center and radius as 3.5cm draw an arc.

Step 6: With D as the center and mark radius as 5 cm and draw an arc cut the 1st arc at C

Step 7: join B to C and C to D

Result: Then ABCD is a required quadrilateral

Hope this helps you hit the crown :D

tell me if correct ok?

Answer 2

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Answer:

see the attachment

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.