NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry (EX 10.1) Exercise 10.1

Exercise 10.1

Refer to pages 3-5 for exercise 10.1 in the PDF

1. Draw a line, say $AB$, take a point $C$ outside it. Through $C$, draw a line parallel to $AB$ using ruler and compasses only.

Ans: To construct: A line parallel to given line using only ruler and compasses.

Steps of construction:

(a) Draw a line-segment $AB$ and mark a point $C$ outside $AB$.

(b) Take any point $D$ on $AB$ and join $C$ to $D$.

(c) With $D$ as centre and take convenient radius, draw an arc cutting $AB$ at $E$ and $CD$ at $F$.

(d) With $C$ as centre and same radius as in step 3, draw an arc $GH$ cutting $CD$ at $I$.

(e) With the same arc $EF$, draw the equal arc cutting $GH$ at $J$.

(f) Join $JC$ to draw a line $l$.

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This is the required line $AB\parallel l$.

2. Draw a line $l$. Draw a perpendicular to $l$ at any point on $l$. On this perpendicular choose a point $X$, $4$ cm away from $l$. Through $X$, draw a line $m$ parallel to $l$.

Ans: To construct: A line is to be drawn which is parallel to a given line and when a perpendicular line is also given.

Steps of construction:

(a) Draw a line $l$ and mark a point $P$ on it.

(b) From point $P$, draw a perpendicular line $n$.

(c) Take $PX = 4$ cm on line $n$.

(d) At point $X$, again construct a perpendicular line $m$.

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The required construction is as above.

3. Let $l$  be a line and $P$ be a point not on $l$. Through $P$, draw a line m parallel to $l$. Now join $P$ to any point $Q$ on $l$. Choose any other point $R$ on $m$. Through $R$, draw a line parallel to $PQ$. Let this meet $l$ at S. What shape do the two sets of parallel lines enclose?

Ans: To construct: A pair of parallel lines that intersect other part of parallel lines.

Steps of construction:

(a) Draw a line $l$ and mark a point $P$ which is not on $l$.

(b) Take point $Q$ on line $l$ and join the points $P$ and $Q$.

(c) Construct equal angles at point $P$ such that $\angle Q = \angle P$.

(d) Increase the line at $P$ to obtain line $m$.

(e) Similarly, take a point $R$ on line $m$, then at point $R$, draw angles such that $\angle P = \angle R$.

(f) Extended line at $R$ which intersects at $S$ on line $l$. Draw line $RS$.

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Thus, the two sets of parallel lines enclose a parallelogram $PQRS$.

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Exercise 10.1

Opting for the NCERT solutions for Ex 10.1 Class 7 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 10.1 Class 7 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 7 students who are thorough with all the concepts from the Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 7 Maths Chapter 10 Exercise 10.1 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 7 Maths Chapter 10 Exercise 10.1, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it. 

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