Construct an angle of measure 22 1 2 degrees using Ruler and Compass.

Steps of Construction: 1. Draw a straight line AB. 2. With center 'A', taking a convenient radius draw an arc that intersects AB at P. 3. With P as a center with the same radius draw an arc at Q, with Q as center with same radius draw an arc that intersects at R. 4. With R and Q as centers with the same radius draw two arcs that intersect at S. Join AS, ∠ BAS = 90 ° 5. Now construct AT which is the angular bisector of ∠ BAS , and join AT, ∠ TAB = 45 ° . 6. Now construct AU which is the angular bisector of ∠ TAB , and Join AU. Now, ∠ UAB = 22 1 2 ° Hence, the required angle 22 1 2 ° has been constructed.

Construct an angle of measure 22 1 2 degrees using Ruler and Compass.

Steps of Construction: 1. Draw a straight line AB. 2. With center 'A', taking a convenient radius draw an arc that intersects AB at P. 3. With P as a center with the same radius draw an arc at Q, with Q as center with same radius draw an arc that intersects at R. 4. With R and Q as centers with the same radius draw two arcs that intersect at S. Join AS, ∠ BAS = 90 ° 5. Now construct AT which is the angular bisector of ∠ BAS , and join AT, ∠ TAB = 45 ° . 6. Now construct AU which is the angular bisector of ∠ TAB , and Join AU. Now, ∠ UAB = 22 1 2 ° Hence, the required angle 22 1 2 ° has been constructed.

E M B I B E

Excellence in Mathematics>Chapter 13 - Practical Geometry>ASSIGNMENT 13.5>Q 3

HARD

6th CBSE

IMPORTANT

Earn 100

Construct an angle of measure $22 \frac{1}{2}$ degrees using Ruler and Compass.

Important Questions on Practical Geometry

MEDIUM

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>Think a Little and Say>Q i

How many circles can be drawn passing through one given point $?$

EASY

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>Think a Little and Say>Q ii

How many circles can be drawn passing through two points

?

MEDIUM

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>Think a Little and Say>Q iii

How many circles can be drawn passing through four scattered points

?

EASY

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES>Q 1

The bisectors divide an equilateral triangle in

EASY

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES>Q 4

Fill in the blank:

_____ line(s) can be drawn passing through two given points.

MEDIUM

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES>Q 2

Construct a line segment $AB$ of length $8 cm$ . From this, cut a line segment $AC$ of length $3.6 cm$ . Measure the remaining line segment.

HARD

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES>Q 5

Draw a circle of radius $4 cm$ . Draw any chord $AB$ . Construct a perpendicular bisector of $AB$ . Also, examine whether it passes through the centre of the circle.

MEDIUM

6th CBSE

IMPORTANT

Excellence in Mathematics>Chapter 13 - Practical Geometry>CHAPTER-END EXERCISES>Q 5

Draw an angle of $135 °$ and bisect it.