Exercise 14.1Exercise 14.2Exercise 14.3Exercise 14.4Exercise 14.5Exercise 14.6 |

**NCERT Answers for Class 6 Maths**

Chapter 14 Practical Geometry Exercise 14.4

Chapter 14 Practical Geometry Exercise 14.4

**Page 284**

**Ex 14.4 Class 6 Maths Question 1. Draw any line segment \(\overline {\bf AB }\). Mark any point M on it. Through M, draw a perpendicular to \(\overline {\bf AB }\). (use ruler and compasses)**

**Answer**

**Step 1:** Draw a line segment **\(\overline {\bf AB }\) **and mark any point M on it.

**
Step 2:** Place pointer at A as center, and radius more than AM, draw an arc. With B as center, and same radius as before, draw an arc.

**Step 3:** Mark the point of intersection of the two arcs as point N Join M & N.

MN is the line perpendicular to line AB

**Ex 14.4 Class 6 Maths Question 2. Draw any line segment \(\overline {\bf PQ }\) . Take any point R not on it. Through R, draw a perpendicular to \(\overline {\bf PQ }\) . (use ruler and set-square)**

**Answer**

**Step 1:** Draw a line segment **\(\overline {\bf PQ }\) **and a point R outside of **\(\overline {\bf PQ }\).**

**Step 2:** Place a set square on **\(\overline {\bf PQ }\)** such that one side of its right angle be along it.

**Step 3:** Place a ruler along the longer side of the set square.

**Step 4:** Hold the ruler fix and slide the set square along the ruler till it touches the point R.

**Step 5:** Join RS along the edge through R. Thus **\(\overline {\bf RS }\)** ⊥ **\(\overline {\bf PQ }\)**.

**Ex 14.4 Class 6 Maths Question 2. Draw a line l and a point X on it. Through X, draw a line segment \(\overline {\bf XY }\) perpendicular to l. Now draw a perpendicular to \(\overline {\bf XY }\) at Y. (use ruler and compasses)
**

**Answer**

**Step 1:** Draw a line l and take a point X on it.

**
Step 2:** Draw an arc with centre X and of suitable radius to intersect the line l at two points A and B.

**Step 3:** With P and Q as centres and a radius greater than P draw two arcs to intersect each other at Y.

**
Step 4:** Join YX and produce to Y.

**With Y as centre and a suitable radius, draw an arc to intersect**

Step 5:

Step 5:

**\(\overline {\bf XY }\)**at two points P and Q.

**With P and Q as centres and a radius greater than**

Step 6:

Step 6:

**\(\overline {\bf YQ }\)**, draw two arcs to intersect each other at Z.

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Step 7:** Join Y and Z. Thus

**\(\overline {\bf YZ }\)**⊥

**\(\overline {\bf XY }\)**.

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