S.chand class 6 Mathematics Chapter 19 Exercise 19B

 Exercise 19B

Question 1

1. Draw a line segment $P Q=10 \mathrm{~cm}$. Take a point $A$ on $P Q$ such that $P A=5.5 \mathrm{~cm}$. Draw a ray perpendicular to $P Q$ at $A$ by

(i) using ruler and compasses. (ii) using ruler and set-squares.

2. Draw any line segment $A B$ and take a point $P$ on it. Using ruler and set squares, construct a perpendicular $P Q$ on it. Verify by using a protractor whether $\angle A P Q=90^{\circ}$.

3. Draw a line $X Y$ and take a point $O$ not lying on it. Using set squares, construct a perpendicular from $O$ to the line $X Y$.

Use ruler and compasses only for the following constructions.

4. Draw a line segment $M N=7.5 \mathrm{~cm}$. Mark a point $P$ on $M N$ such that $M P=5.4 \mathrm{~cm}$. Draw a ray perpendicular to $M N$ at $P$.

5. Draw a line segment $X Y$ of length $6.5 \mathrm{~cm}$. At each end of the line segment $X Y$, draw a line perpendicular to the line $X Y$. Are these two lines parallel?

6. Draw a line segment $O A=8 \mathrm{~cm}$. Using set squares, construct $\angle A O B=90^{\circ}$, such that $O B=10 \mathrm{~cm}$. Join $A$ and $B$. Measure the length of $A B$.