Practice Set 1.3 Geometry 9th Std Maths Part 2 Answers Chapter 1 Basic Concepts in Geometry
Question 1
Maharashtra Board Solution
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 midpoint of the base is perpendicular to the base.
Solution & Step-by-Step Answer:
i. If a quadrilateral is a parallelogram, then its opposite angles are congruent. ii. If a quadrilateral is a rectangle, then its diagonals are congruent. iii. If a triangle is isosceles triangle, then segment joining the vertex of a triangle and midpoint of the base is perpendicular to the base.
Question 2
Maharashtra Board Solution
Write converses of the following statements. i. The alternate angles formed by two parallel lines and their transversal are congruent. ii. If a pair of the interior angles made by a transversal of two lines are supplementary, then the lines are parallel. iii. The diagonals of a rectangle are congruent.
Solution & Step-by-Step Answer:
i. If the alternate angles made by two lines and their transversal are congruent, then the two lines are parallel. ii. If two parallel lines are intersected by a transversal, then the interior angles formed bv the transversal are supplementary. iii. If the diagonals of a quadrilateral are congruent, then that quadrilateral is a rectangle.