Q. 24.2( 37 Votes )

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.

Answer :

We know that if the antecedent (if part) and consequent (then part) in a given conditional statement are interchanged, then the resulting statement is called the Converse.


So, the converses for the above statements are as follows:


i. If the alternate angles made by two lines and its transversal are congruent then the lines are parallel.


ii. If two parallel lines are intersected by a transversal then the interior angles so formed are supplementary.


iii. If the diagonals of a quadrilateral are congruent then the quadrilateral is a rectangle.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Basic Understanding of Coordinate Geometry33 mins
Know Some Interesting Proofs in Geometry42 mins
Quiz | Imp. Qs. on Coordinate Geometry39 mins
Know How to Solve Complex Geometry Problems!27 mins
Coordinate Geometry45 mins
Euclid's Geometry51 mins
Quiz | Euclid's Geometry44 mins
Champ Quiz | 2-Dimension( Coordinate geometry )36 mins
Basics of Coordinate Geometry43 mins
Quiz | Imp. Qs. of Coordinate Geometry46 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :