Question

Practice set 1.3
1. Write the following statements in 'if-then' form.
(i) The opposite angles of a parallelogram are congruent.
(ii) The diagonals of a rectangle are congruent.
(iii) 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.
(i) The alternate angles formed by two parallel lines and their transversal are
congruent. the one
el.
(ii) If a pair of the interior angles made by a transversal of two lines are supple-
mentary then the lines are parallel. ase wecekted
bas
(iii) The diagonals of a rectangle are congruent





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Answer 1

Answer:

1. If the opposite angles are congruent then it is a parallelogram

2.If the diagonals are congruent then it is a parallelogram.

3. If the segment joiningthe vertex and the midpointof the baseis perpendicular to the base then it is an isoceles triangle.

2

1.If the lines are parallel then the alternate angles formed by its transversal are congruent

Converse : If the alternate angles formed by 2 lines and their transversal are congruent then the lines are parallel.

2.Converse : If the lines are parallel then the pair of interior angles formed by the transversal are supplementary.

3.If the diagonals are congruent then it is a rectangle.

Converse : If it is a rectangle then the diagonals are congruent.