Exercise 13 A
Question 1
1. The measure of one angle of a parallelogram is $80^{\circ}$. What are the measures of the remaining angles ?
2. Two adjacent angles of a parallelogram are congruent. What is the measure of each?
3. Two adjacent sides of a parallelogram are $5 \mathrm{~cm}$ and $6 \mathrm{~cm}$ respectively. Find its perimeter.
4. Find each angle of a parallelogram if two consecutive angles are in the ratio $1: 3$.
5. The perimeter of a parallelogram is $180 \mathrm{~cm}$. One of its sides is greater than the other by $30 \mathrm{~cm}$. Find the length of the sides of the parallelogram.
6. Find the sizes of the angles of a parallelogram if one angle is $20^{\circ}$ less than twice the smallest angle.
7. $A B C D$ is a parallelogram. Find $x, y$ and $z$.
8. In the figure, find the four angles $A, B, C$ and $D$ of the parallelogram $A B C D$.
9. $A B C D$ is a parallelogram. $C E$ bisects $\angle C$ and $\mathrm{AF}$ bisects $\angle A$. In each of the following, if the statement is true, give a reason for the same.
(i) $\angle A=\angle C$
(ii) $\angle F A B=\frac{1}{2} \angle A$
(iii) $\angle D C E=\frac{1}{2} \angle C$.
(iv) $\angle F A B=\angle D C E$
(v) $\angle D C E=\angle C E B$
(vi) $\angle C E B=\angle F A B$
(vii) $C E \| A F$
(viii) $A E \| F C$.
Multiple Choice Questions (MCQs)
10. If the quadrilateral $\mathrm{ABCD}$ is a parallelogram. What is the value of $x$ ?
(a) $45^{\circ}$
(b) $30^{\circ}$
(c) $36^{\circ}$
(d) $37^{\circ}$
11. What values of a would make the given quadrilateral a parallelogram.
(a) $5 \frac{1}{4}$
(b) $5 \frac{1}{2}$
(c) $5 \frac{3}{4}$
(d) 5
High Order Thinking Skills (HOTS)
12. The diagonal of a rectangle is thrice its smaller side. Find the ratio of its sides.
[Hint. Use Pythagoras theorem]
(a) $\sqrt{2}: 1$
(b) $2 \sqrt{2}: 1$
(c) $3: 2$
(d) $\sqrt{3}: 1$
No comments:
Post a Comment