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The angles are ∠A, ∠B, ∠C, and ∠D which are equal. The sides AB and CD are called opposite
sides because they do not share a common end point. Similarly, AD and BC are the other pair of
opposite sides.

We can name the rectangle as ABCD. We can also refer to it as BCDA, CDAB, DABC, ADCB, DCBA,
CBAD, and BADC. It cannot be named as ABDC or ACBD.
Properties of a Rectangle
Remember
1. The opposite sides are equal in length.
To name a figure, take the vertices in order
2. All angles are of 90°. either clockwise or anticlockwise.

Squares A B

Consider the square ABCD. It has four sides and four angles. A square shares all
the properties of a rectangle, with the additional property that all of its sides are
equal in length. D C

Example 2: Which of the following is not a name for the adjoining square? U V
(a) WXUV (b) UVWX
(c) XUVW (d) VWUX

Solution: VWUX cannot be the name of the given square. X W

Rotated Squares and Rectangles

Do you know what happens when we rotate a square piece of paper?
Let us take a square piece of paper whose all sides are
equal in length and all angles are 90°. When we rotate this 90° 90° 90°
paper, it will still be a square.
90° 90°
Thus, rotating a square does not change its side lengths
or angles. 90° 90°
90°
Therefore, the rotated figure satisfies all properties of
a square and remains a square. Can you do this for rectangles also? Take a rectangular piece of
paper and check it.
Practice Time 8A

1. Classify the following as Open or Closed Curve:

(a) (b) (c) (d) (e)

2. With the same centre O draw two circles of radii 4 cm and 6 cm.

3. Take a line segment of 10 cm and draw the wavy wave.
4. Recreate the person given below with a ruler and a compass.

235 Playing with Constructions