Question

Practice set 1.3
1. Write the following statements in 'if-then' form.
6) The opposite angles of a parallelogram are congruent.
(m) The diagonals of a rectangle are congruent.
(I) In an isosceles triangle, the segment joining the vertex and the mid point of the
base is perpendicular to the base.
2. Write converses of the following statements.
The alternate angles formed by two parallel lines and their transversal are
congruent.
(i) If a pair of the interior angles made by a transversal of two lines are supple-
mentary then the lines are parallel.
(ii) The diagonals of a rectangle are congruent.​

Answer 1

Answer:

• If the oposite angles of llgm are equal then they are congruent.
• If the diagonals of llgm are congruent then it is a rectangle.
• If a triangle is isosceles thenthe segment joining the vertexand the mid point of the base is perpendicular to the base

• The angles formed by two parallel lines and its transversal is congruent.
• The lines which are parallel make supplementary angles with its transversal.
• The quadrilateral having equal diagonals is rectangle.

Answer 2

1)lf opposite angles of a quadrilateral are congruent then it is a parallelogram.

2)lf the diagonals of a quadrilateral are congruent then it is a rectangle.

3)lf the triangle is an isosceles triangle then the segment joining the vertex and the midpoint of the base is perpendicular to the base.

4)lf two lines are parallel and they have a transversal then the alternate angles formed are congruent.

5)lf the lines are parallel then a pair of the interior angles made by a transversal of two lines is supplementary.

6)lf diagonals of a quadrilateral are congruent then it is a rectangle.

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I hope it may help you........