Q2 of 29 Page 11

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.

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.


More from this chapter

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6

Answer the questions with the help of figure 1.14.


i. State the points which are equidistant from point B.


ii. Write a pair of points equidistant from point Q.


iii. Find d(U, V), d(P, C), d(V, B), d(U, L).

 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.

 1

Select the correct alternative from the answers of the question given below.

How many mid points does a segment have?

 1

Select the correct alternative from the answers of the question given below.

How many points are there in the intersection of two distinct lines?