Page 40 - Math_Genius_V1.0_C6_Flipbook

E:\Working\Focus_Learning\Math_Genius-6\Open_Files\02_Chapter_2\Chapter_2
\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

Example 8: How many points are common in the two angles marked in the given figure?

B

E P D

C
Q
A
F

Solution: Two points, i.e., P and Q are common in the two angles, namely ∠BAC and ∠EDF.
Example 9: Draw rough diagrams of two angles such that they have:
(a) Four points in common (b) One ray in common

Solution: As per the given conditions, the angles may be drawn as follows:
Q
B

E
(a) D
A F
G C
R
P

Here, four points D, E, G, and F are common in two angles ∠BAC and ∠PQR.

D B
(b)

A C

Here, one ray AB is common in two angles ∠BAC and ∠BAD.
Practice Time 2C

1. Name all the angles in the given figures.

A A
E

(a) (b) E
B 3
D 2 1 D
C
B C
2. Look at the given figure. Mark a point:
(a) A, which is in the interior of both ∠1 and ∠2.

(b) B, which is in the interior of only ∠2.
2
(c) C, which is in the interior of ∠1.
Now, state whether point C lies in the interior of ∠2 also. 1
3. Draw rough diagrams of two angles such that they have:

(a) One point in common. (b) Three points in common.

Mathematics-6 38