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INVESTIGATING PROPERTIES OF QUADRILATERALS

INVESTIGATING PROPERTIES OF QUADRILATERALS. Diagonals of a parallelogram. bisect each other. If the midpoints of adjacent sides of any quadrilateral are joined,. A parallelogram is formed. The line segment joining the midpoints of a trapezoid.

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INVESTIGATING PROPERTIES OF QUADRILATERALS

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  1. INVESTIGATING PROPERTIES OF QUADRILATERALS

  2. Diagonals of a parallelogram bisect each other

  3. If the midpoints of adjacent sides of any quadrilateral are joined, • A parallelogram is formed

  4. The line segment joining the midpoints of a trapezoid • Is parallel to the parallel sides AB and DC • Is equal in length to the mean(average) of the lengths of the parallel sides • PQ = (AB + DC) / 2

  5. If the diagonals of a quadrilateral bisect each other at right angles • The quadrilateral must be a rhombus • RECALL: • A rhombus is a quadrilateral with all four sides equal in length

  6. The shape formed by joining the midpoints of a rhombus is • a rectangle

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