**Chapter 1 Geometrical Constructions Set 1.7**

Question 1.

Some angles are given below. Using the symbol of congruence write the names of the pairs of congruent angles in these figures.

Solution:

i. ∠AOC ≅ ∠PQR

ii. ∠DOC ≅ ∠LMN

iii. ∠AOB ≅ ∠BOC ≅ ∠RST

**Intext Questions and Activities**

Question 1.

Observe the given angles and write the names of those having equal measures.

(Textbook pg. no. 8 and 9)

Solution:

i. ∠ABC and ∠SPM

ii. ∠NIT and ∠SRI

iii. ∠PTQ and ∠RTS

Question 2.

Observe the image shown in the adjacent figure and answer the following questions. (Textbook pg. no. 9)

- What time does this clock show?
- What is the measure of the angle between its two hands?
- At which other times is the angle between the hands congruent with this angle?

Solution:

- 3 o’ clock.
- 90°.
- 9 o’ clock.

Question 3.

Get bangles of different sizes but equal thickness and find the congruent ones among them. (Textbook pg. no. 10)

Solution:

[Students should attempt the above activities on their own.]

Question 4.

Find congruent circles in your surroundings. (Textbook pg. no. 10)

Solution:

[Students should attempt the above activities on their own.]

Question 5.

Take some round bowls and plates. Place their edges one upon the other to find pairs of congruent edges. (Textbook pg. no. 10)

Solution:

[Students should attempt the above activities on their own.]