A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?

Find the angle which is equal to its complement.

Find the angle which is equal to its suppliment.

Draw an angle of measure 153⁰ and divide it into four equal parts.

Say True or False : (b) The opposite sides of a rectangle are equal in length.

Write the negation of the following statements and check whether the resulting statements are true, There does not exist a quadrilateral which has all its sides equal.

Say True or False : ( d) All the sides of a rhombus are of equal length.

State whether the following statements are true or false? Also give reasons for your answers. a) Only one line can pass through a given point. b) All right angles are equal. c) Circles with same radii are equal. d) A line segment can be extended on its both sides endlessly to get a straight line. e) From the figure, AB gt AC .

Prove that the area of an equilateral triangle described on one side of a square is equal of half the area of the equilateral triangle described on one of its diagonals.