Triangles — MATHS STD 9 — Question

Given a line and a point, not on the line, there is one and only______ line which passes through the given point and is______ to the given line.

Complete the following statements by means of one of those given in brackets against each:
If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is _____________. (square, rectangle, trapezium).

If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is 180°. Then the lines are _____ .

(Sum of any two sides of a triangle) _______ (twice the median to the 3rd side).

If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a _________. (rectangle, parallelogram, rhombus).

Complete the following statements by means of one of those given in brackets against each:
Consecutive angles of a parallelogram are _____________. (supplementary, complementary).

The decimal form of an irrational number is neither ______ nor ______.

Complete the following statements by means of one of those given in brackets against each:
 If opposite angles of a quadrilateral are equal, then it is necessarily a _________. (parallelogram, rhombus, rectangle).

Fill in the blank in the following to make the statement true:
If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are _______.