Question

Practice set 1.31. 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 thebase is perpendicular to the base.- Write converses of the following statements.(1) The alternate angles formed by two parallel lines and their transversal arecongruent.(ii) If a pair of the interior angles made by a transversal of two lines are supple-mentary then the lines are parallel.(iii) The diagonals of a rectangle are congruent. C03​

Answer 1

Answer:

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Step-by-step explanation:

Write the following statements in ‘if-then' form.

(i) If the opposite angles are congruent of a quadrilateral then, it is parallelogram.

(ii)If the diagonals are congruent, then it is a rectangle.

(iii) If the segment joining the vertex and the mid point of thebase is perpendicular to the base., then it is an isosceles triangle,

Write converses of the following statements.

(1) The alternate angles are equal, if it is formed by two parallel lines and their transversal.

(2) The lines are parallel, if a pair of the interior angles made by a transversal of two lines are supple-mentary

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