Question

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Answer 1

Answer:

7) If the diagonals of a quadrilateral bisect each other, the

quadrilateral is a parallelogram.

1. Draw a line 5.2 cm long.

2. Open the compass to 1/2 the length

of the shorter diagonal (1/2 of 6cm is 3cm)

3. Placing the sharp point of the compass on the right end of the

line, and swing an arc (the one I have in green).

4. Open the compass to 1/2 the length

of the longer diagonal (1/2 of 6.4cm is 3.2cm)

5. Placing the sharp point of the compass on the left end of the

line, and swing an arc (the one I have in red).

6. Draw a line 6cm long from the right end of the line through

the point where the arcs cross.

6. Draw a line 6.4cm long from the left end of the line through

the point where the arcs cross.

7. Draw in the other three sides of the parallelogram.

Explanation:

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Answer 2

7)

⇒  Draw PQ=5.2cm.

⇒  With P as center and radius 3cm, draw an arc.

⇒  With Q as center and radius 3.2cm draw another arc, cutting the previous arc at O.

⇒  Join OP and OQ.

⇒   Produce PO to R such that PO=OR and produce QO to S such that OS=OQ.

⇒  Join QR,RS and PS.