Question

Which type of quadrilateral is formed on joining midpoints of sides of a quadrilateral?
Segment of a circle is reginn hetween an Arc and​

Answer 1

Answer:

ABCD is a parallelogram

Step-by-step explanation:

Let ABCD be any quadrilateral.

Join A and C.

Let P and Q be midpoints of sides AB and BC

In △ABC,

PQ∥AC and PQ=

2

1

AC ) (by Midpoint theorem)

S and R be the midpoints of AD and DC respectively

In △ACD,

SR∥AC and SR=

2

1

AC (ii) (by Midpoint theorem)

From (i) and (ii),

PQ∥SR and PQ=SR.

∵ One pair of opposite sides are parallel and equal

∴ ABCD is a parallelogram.

solution

Answer 2

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The quadrilateral formed by joining the midpoints of consecutive sides of a quadrilateral whose diagonals are congruent is a rhombus. The quadrilateral formed by joining the midpoints of consecutive sides of a quadrilateral whose diagonals are congruent and perpendicular is a square.