ML Aggarwal Practical Geometry Check Your Progress Class 6 ICSE Maths Solutions

ML Aggarwal Practical Geometry Check Your Progress Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of  Check Your Progress Questions for Practical Geometry as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

ML Aggarwal Practical Geometry Check Your Progress Class 6 ICSE Maths Solutions

Board ICSE
Publications Avichal Publishig Company (APC)
Subject Maths
Class 6th
Chapter-13 Practical Geometry
Writer ML Aggarwal
Book Name Understanding
Topics Solution of Check Your Progress Questions
Edition 2023-2024

Practical Geometry Check Your Progress

ML Aggarwal Class 6 ICSE Maths Solutions

Page-283

Question 1. Draw a line segment AB = 5.4 cm. Construct a perpendicular at A by using ruler and compass.

Answer:

Steps of construction:

  1. Draw AB = 5.4 cm.
  2. With any radius draw an arc which cuts AB at M.
  3. With M as centre and the same radius
    cut the previous arc at N and P.
  4. With N and P as centres draw arcs which intersect at L.
    Join AL.
  5. AL is required perpendicular.

Question 1. Draw a line segment AB = 5.4 cm. Construct a perpendicular at A by using ruler and compass.

Question 2. Draw a line segment PQ = 6.8 cm. Draw a perpendicular to it from a point A outside PQ by using ruler and compass.

Answer:

Question 2. Draw a line segment PQ = 6.8 cm. Draw a perpendicular to it from a point A outside PQ by using ruler and compass.

Steps of construction:

  1. Draw a line segment PQ = 6.8 cm
    and take a point A outside PQ.
  2. With A as centre and any suitable radius,
    draw an arc to cut line PQ at point C and D.
  3. With C and D as centres,
    draw two arcs of equal radius cutting each other
    at B on the other side of line PQ.
  4. Join AB to meet the line PQ at M.

Question 3. Draw a line segment of length 6.5 cm and construct its axis of symmetry.

Answer:

Steps of construction:

  1. Draw a line segment AB of length 6.5 cm.
  2. With A as centre, using a compass, draw a circle.
    The radius of this circle should be more than half of the length of AB.
  3. With the same radius and with B as centre,
    draw another circle using a compass.
    Let it cut the previous circle at C and D.
  4. Join CD. Then, CD is the axis of symmetry of AB.

Question 3. Draw a line segment of length 6.5 cm and construct its axis of symmetry.

Question 4. Draw ∠AOB = 76° with help of a protractor. Bisect this angle by using ruler and compass. Measure the two parts by your protractor and see how accurate you are.

Answer:

Steps of construction:

1. Draw a line segment OB.

2. Construct ∠AOB with the help of protector = 76°.

3. With the help of compass and O as centre draw an arc meeting OB and OA at P and Q respectively.

Question 4. Draw ∠AOB = 76° with help of a protractor. Bisect this angle by using ruler and compass. Measure the two parts by your protractor and see how accurate you are.

4. With P and Q as centre and radius more than 1/2 PQ draw two arcs meeting each other at R.

5. OD is the bisector of ∠AOB.

On measuring ∠AOD = ∠DOB = 38°.

Question 5. By using and compass, construct an angle of 135° and bisect it. Measure any one part by protractor and see how accurate you are.

Answer:

Steps of construction:

  1. Draw a line OB with help of ruler.
  2. With O as a centre and any suitable radius
    draw an arc to meet OB at S.
  3. With S as a centre and same radius
    draw an arc to meet the previous arc at L.
    With L as centre and same radius draw another arc M.
    Again M as centre draws another arc to meet the first arc at N.
  4. With M and N as centres draw two arcs of
    equal radius (> 1/2 SL) cutting each other at A.
  5. Join OA intersecting the radius at point Q.
  6. Now taking Q and M as a centres
    draw two arcs of equal radius cutting each other at P.
  7. Join PO.
  8. Measuring the ∠POB with protractor we get ∠POB equal to 135°.
  9. Taking S and R as a centres draw two arcs cutting each other at T.
    Join TO.
  10. ∠TOB is the bisector of ∠POB. ∠TOB = ∠TOP = 67.5°.

Question 5. By using and compass, construct an angle of 135° and bisect it. Measure any one part by protractor and see how accurate you are.

—  : End of ML Aggarwal Practical Geometry Check Your Progress Class 6 ICSE Maths Solutions :–

Return to   ML Aggarwal Maths Solutions for ICSE Class -6

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