SQUARE All sides equal Opposite sides parallel All angles are right

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Presentation transcript:

SQUARE All sides equal Opposite sides parallel All angles are right Diagonals equal Diagonals perpendicular bisectors of each other.

RHOMBUS All sides are equal Opposite sides parallel Diagonals perpendicular bisectors of each other. Opposite angles equal. Sum of angles on same side is 180.

Find the area o f this square? 3 cm 3 cm

Area of one triangle =½×b×h =½×3×3 =9/2 =41/2 Square centimetre 3cm 3 cm Area of one triangle =½×b×h =½×3×3 =9/2 =41/2 Square centimetre

Area of this square = 4×area of one triangle =4×4 ½ =18 square centimetres

Let ‘d’ be the lengths of diagonals. Lengths of perpendicular sides of each isosceles right triangles =1/2 d Area of one such triangles =1/2×1/2d×1/2d =1/8d² Area of the square =4×1/8d² =1/2d²

The area of square is half the square of the diagonals.

Area of the rhombus=4×1/2×3×2 =12 square centimetres 2 cm 3 cm Area of the rhombus=4×1/2×3×2 =12 square centimetres

The area of the rhombus is half the product of its diagonals

PROMBLEMS Compute the area of a square of diagonals 5 centimetres. Draw a rhombus of area 28 square centimetres.