S.chand class 6 Mathematics Chapter 19 Exercise 19A

 Exercise 19A

Question 1

Draw line segments equal to the following line segments.

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2. Draw line segments having these lengths. Use ruler and compasses to bisect each of them.

(i) $5 \mathrm{~cm}$

(ii) $6.7 \mathrm{~cm}$

(iii) $8 \mathrm{~cm}$

(iv) $5.6$

3. Draw a line segment $A B=10 \mathrm{~cm}$ long. Use ruler and compasses to divide $A B$ into 4 equal parts. What is the length of each part?

4. Draw a line segment $A B$ of length $4.8 \mathrm{~cm}$. Now, construct the perpendicular bisector of the line segment $A B$.

5. Draw a line segment of length $6.8 \mathrm{~cm}$ and draw its perpendicular bisector by using ruler and compasses.

6. Using a protractor, construct an angle of $75^{\circ}$. Now, using a ruler and a pair of compasses, construct an angle equal to $75^{\circ}$.

7. Draw an angle of $135^{\circ}$, using a pair of compasses.

8. With compasses and a ruler, construct each of the following angles.

(i) $30^{\circ}$

(ii) $45^{\circ}$

(iii) $75^{\circ}$

(iv) $67 \frac{1^{\circ}}{2}$

(v) $135^{\circ}$

(vi) $150^{\circ}$

(vii) $120^{\circ}$

9. Using your protractor, draw an angle BAC of measure $120^{\circ}$. With this angle as given, draw an angle of measure $90^{\circ}$. Verify by measurement.

[Hint: 1. Draw $\overrightarrow{A X}$, the bisector of $\angle B A C$. 2. Draw $\overrightarrow{A Y}$, the bisector of

$\angle C A X$. 3. Then, $\angle B A Y$ is the required angle]

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10. Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisecting rays are perpendicular to each other.