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Now, rearrange the scalene triangles to form different 4-sided shapes (quadrilaterals). tanGram
The shape alongside is called a kite. This is an ancient puzzle that originated in China, consisting of 7 shapes.

Here, side 1 = side 2 1 2 It has 2 big triangles, one medium triangle, two small triangles, one
and side 3 = side 4. 3 4 square and one parallelogram. By rearranging the tangram pieces to
These sides are called adjacent sides. create different shapes and figures, one can develop better awareness of

The shape alongside is called a parallelogram. 2 how shapes fit together in a space.
Here, side 1 = side 3 1 making Various shapes using tangrams

and side 2 = side 4. 4 3
These sides are called opposite sides.

Quadrilaterals whose opposite sides are equal are called parallelograms.
The shape alongside is called a rectangle.

Here, side 1 = side 3 2
and side 2 = side 4. 1 3 Square Rectangle
Also, all four angles are equal and are right angles. 4

Quadrilaterals whose opposite sides and all four angles are equal are called rectangles.
A rectangle is a special type of parallelogram.

Now take cutouts of two triangles with 2 equal sides in each triangle.
Such triangles are called isosceles triangles. 1 2
Arrange them as shown here.

Here, side 1 = side 2 = side 3 = side 4.
3 4 Parallelogram Triangle
It a square whose all four sides and angles are equal. It is a special type
of rectangle. The above mathematical shapes are made using all 7 pieces of tangram, but it is not
always necessary to use all the pieces. You can use at least two shapes to a maximum of

Fast Check 7 pieces to construct any shape be it mathematical or other.
Match the statements with the appropriate shapes. Here, a trapezoid is made using 4 different pieces and a triangle using 2 and 4 pieces
respectively.
Statement Shape

1. All my angles are right angles, but all my sides are not equal.

2. All my sides are equal, but all my angles are not.
3. My opposite angles are equal, but my sides do not make a right
angle.

4. Two pairs of sides are equal, but they do not make a right angle.

5. All my sides make right angles with each other and are equal. Think Tank Logical Thinking

6. My opposite angles are equal and so are my sides. Answer the following:
1. How many acute angles can a triangle have?
7. My opposite angles are equal and my sides make right angles. 2. How many right angles can a triangle have?
3. How many obtuse angles can a triangle have?

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Mathematics-5
130 Mathematics-5