NCERT Solutions for Chapter: Introduction to Euclid's Geometry, Exercise 1: Exercise

Highways $20\mathrm{A}$ and $56\mathrm{C}$ run parallel to each other for $20 \mathrm{km}$ in a state.

Which of the following statements is most likely to be true regarding them?

Karan marks his city on the map as point $\mathrm{A}$.

Savita says, 'A dot is dimensionless, so your city is also dimensionless.' Why is Savita wrong?

The map shows three cities Conlen$\copyright$, Stratford$\left(S\right)$, and Texhoma$\left(T\right)$ on a straight highway.

Which of the following is true for the length of the highway between them?

A number $Y$ is greater than a number $X$ and another number $Z<0$. Which of the following relations can be true for a unique value of $Z$?

The area of a triangle is equal to the area of a rectangle. The area of the rectangle is equal to the area of a parallelogram. What is the relation between the area of the triangle and the area of the parallelogram?

Raghvan claims that the magnitude of the $\angle ABC$ is greater than the magnitude of the area of the right triangle $∆PQR$.

Is his claim correct? Why?

Balan says, "The measure of all right angles cannot be equal as their arms can be of different lengths." Why is Balan's statement not true?

$TAB$ is a straight line. $C$ is the mid-point of $AB$. $D$ is the mid-point of $AC$. Which of the following shows the relation between the line segments?