Constructions Test

Result

Constructions Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

During the construction of a 75⁰ angle, which of the following procedures a student can adopt?

(1) 90⁰ - 15⁰ (2) 60⁰ + 15⁰ (3) 30⁰ + 45⁰ (4) 45⁰ - 30⁰

A
Only (1)

B
Only (2)

C
Only (1), (2) and (3)

D
All of above

Solution

The angle of 75° can be constructed by 90° - 15°, 60° + 15°, 30° + 45°.
Question 2
1 / -0

A student of class IX constructed an angle of 90⁰ = 60⁰ + 30⁰. Which step will he use to make an angle of 75⁰?

A
He will bisect its 60⁰ part.

B
He will bisect its 30⁰ part.

C
He will construct a 15⁰ angle further.

D
He cannot form an angle in this situation.

Solution

By bisecting the 30° part, we will get angle of measure 15°, and 60° + 15° will give us 75°.
Question 3
1 / -0

Ashok constructed an angle, 120° = 90° + 30°. In order to make an angle of 105°, which step will he follow?

A
Bisect a 90° angle

B
Bisect a 30° angle

C
Bisect a 120° angle

D
Bisect 120° and 60° angles

Solution

Ashok constructed an angle, 120° = 90° + 30°.
By bisecting angle of 30°, we will get an angle of 15°.
Then, 90° + 15° gives 105°.
Question 4
1 / -0

A student constructed an angle, 150° = 120° + 30°. In order to form an angle of 135°,

A
he will bisect a 120° angle

B
he will bisect a 30° angle

C
he will bisect a 150° angle

D
he cannot form an angle in this situation

Solution

150° = 120° + 30°
By bisecting angle of 30°, we will get angle of 15°.
Then, 120° + 15° gives 135°.