Q1 of 29 Page 11

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.

The if-then forms for the above statements are as follows:

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 then the segment joining the vertex of the triangle and the midpoint of the base is perpendicular to the base.


More from this chapter

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5

Write the answers to the following questions with reference to figure 1.13.


i. Write the name of the opposite ray of ray RP.


ii. Write the intersection set of ray PQ and ray RP.


iii. Write the union set of ray PQ and ray QR.


iv. State the rays of which seg QR is a subset.


v. Write the pair of opposite rays with common end point R.


vi. Write any two rays with common end point S.


vii. Write the intersection set of ray SP and ray ST.

 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).

 2

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.

 1

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

How many mid points does a segment have?