NCERT Answers for Class 6 Maths |
Chapter 14 Practical Geometry Exercise 14.2
Page 278
Ex 14.2 Class 6 Maths Question 1. Draw a line segment of length 7.3 cm using a ruler.
Answer
Steps of Construction:
Step 1: Mark a point A on the plane of the paper and place the ruler so that zero mark of the ruler is at A
Step 3: Join points A and B by moving the tip of the pencil against the straight edge of the ruler.
The line segment AB so obtained is the required line segment.
Ex 14.2 Class 6 Maths Question 2. Construct a line segment of length 5.6 cm using ruler and compasses.
Answer
Step 1: Draw any line L of suitable lengths.
Step 2: Place the needle of the compass on the zero mark of the ruler and open it up to 5.6 mark.
Step 3: Place the needle at any point A at the line and draw an arc to cut l at B.
Thus, AB is the required line segment of length 5.6 cm.
Ex 14.2 Class 6 Maths Question 3. Construct AB of length 7.8 cm. From this, cut off AC of length 4.7 cm. Measure BC .
Answer
Given that AB = 7.8 cm and AC = 4.7 cm.
Step 1: Place zero mark of the ruler at A.
Step 2: Mark a point B at a distance of 7.8 cm from A.
Step 3: Mark another point C at a distance of 4.7 cm from A such that AC = 4.7 cm.
Step 4: On measuring the length of BC, we find that BC = 3.1 cm.
Ex 14.2 Class 6 Maths Question 4. Given AB of length 3.9 cm. Construct PQ such that the length of PQ is twice that of AB. Verify by measurement.
(Hint : Construct PX such that the length of PX = length of AB then cut off XQ such that XQ also has the length of AB.
Answer
Step 1: Draw a line l and mark a point P on it. Let AB be the given line segment of 3.9 cm.
Step 2: By adjusting the compasses up to the length of AB, place the pointer of compasses at point P and draw an arc to cut the line at X.
Step 3: Again place the pointer on point X, draw an arc to cut line l at point Q.
PQ is the required line segment. Using the ruler we may measure the length of which comes to 7.8 cm.
Ex 14.2 Class 6 Maths Question 5. Given AB of length 7.3 cm and CD of length 3.4 cm, construct a line segment XY such that the length of XY is equal to the difference between the lengths of AB and CD. Verify by measurement.
Answer
Steps of Construction
Step 1: Construct AB = 7.3 cm and CD = 3.4 cm.
Step 2: Measure AB = 7.3 cm using compass
Step 3: Now keeping compass opened the same length, we keep pointed end at x and draw the arc on line l.
So, XB = AB = 7.3 cm
Measure CD = 3.4 cm using compass
Step 4: Now keeping compass open the same length, we keep pointed end at point B and draw the arc on line l.
So, YB =CD= 3.4 cm
Thus, required the line segment XY = 3.9 cm