Download App

Basic Concepts in Geometry — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsBasic Concepts in Geometry3 Marks
Question
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

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.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Mark Question" from Basic Concepts in Geometry→Basic Concepts in Geometry — all question types→Maths STD 9 question papers→Maharashtra Board STD 9 question papers→Maharashtra Board question paper generator→

Similar questions

In the following determine rational numbers a and b:$\frac{3+\sqrt2}{3-\sqrt2}=\text{a}+\text{b}\sqrt{2}$
→
If the mean of 2, 4, 6, 8, x, y is 5, then find the value of x + y.
→
In the adjoining figure, ABCD is a quadrilateral in which diagonal BD = $14 cm$. If $\text{AL}\perp\text{BD}$ and $\text{CM}\perp\text{BD}$such that AL = 8cm and $CM = 6cm$, find the area of quadrilateral ABCD.

→
Express each one of the following with rational denominator:$\frac{6-4\sqrt2}{6+4\sqrt{2}}$
→
Three equal cubes are placed adjacently in a row. Find the ratio of a total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.
→
Using the remainder theorem, find the remainder, when $p(x)$ is divided by $g(x)$, where,
$p(x)=x^3-6 x^2+9 x+3, g(x)=x-1$.
→
A capsule of medicine is in the shape of a sphere of diameter $3.5mm$. How much medicine $(mm^3)$ is needed to fill this capsule?
→
Rationales the denominator and simplify:$\frac{5+2\sqrt3}{7+4\sqrt3}$
→
In the given figure, O is the center of the circle and $\angle\text{DAB}=50^\circ.$ Calculate the values of x and y.
→
Draw the graph of the following equation y = 3x.
From your graph, find the value of y when,
  1. x = 2
  2. x = -2.
→