Shapes and Patterns MATHS - Shapes and Patterns

Which of the following is always true for a kite?

A circle has ________________ diameter.

In a 7-piece tangram, how many shapes have more than one right angle?

In a 7-piece tangram, how many shapes have atleast one right angle?

Which of the following is a parallelogram?

Square is a special type of ________.

In a parallelogram, ________ angles are equal.

A rectangle is also a ________.

Quadrilaterals whose opposite sides are equal in length are called ________.

In a ________ two pairs of adjacent sides have the same length.

Is it possible to make a triangle where all three sides are unequal?

Is it possible to make a triangle where all three sides are equal (equilateral triangle)?

How many different types of triangles can you make?

What shapes have been used in this pattern?

Do the same number of faces meet at each common vertex?

Which of these shapes can be made with all 4 pieces? Try and find out.
(a) Square
(b) Rectangle
(c) Triangle
(d) Pentagon (5-sided)
(e) Hexagon (6-sided)
(f) Octagon (8-sided)

Can regular hexagons (6-sided shapes with equal sides) fit together around a point without any gaps or overlaps? Try and see (a sample hexagon is given at the end of the book). How many fit together at a point?

Can you figure out how to make this mat?

Draw the following pattern on a grid paper. Part of it is done for you.
Now, complete the rest of the grid to get the full design.

Can you work out the steps for any of these designs and weave the pattern?
Write the steps of the pattern in your notebook for each row until it starts repeating.

Look at the tangram set given at the end of your textbook. Cut out all the shapes. Name them.
(a) How are they same or different from each other?
(b) What do you notice about the angles of each of the shapes?
(c) What do you notice about the sides of each of the shapes?

Nisha has glued 27 small cubes together to make a large solid cube. She paints the large cube red. How many of the original small cubes have—
(a) three faces painted red?
(b) two faces painted red?
(c) one face painted red?
(d) no faces painted red?

Match the statements with appropriate shapes. Do some of them describe more than one shape?

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.
6. My opposite angles are equal and so are my sides.
7. My opposite angles are equal and my sides make right angles.

Measure the sides of each of these two quadrilaterals A and B. What do you notice?
Are there any pairs of sides that are equal? Which pairs are equal—adjacent or opposite?

How many different 4-sided shapes (quadrilaterals) can you make?

Here are three possible shapes.
Have you made a shape like the one shown on the right?

Can five squares fit together around a point without any gaps or overlaps? Why or why not?

Here are some big solid cube frames. Howr many small cubes have been removed from each cube?