**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 AB. Mark any point M on it. Through M, draw a perpendicular to AB. (use ruler and compasses)**

**Answer**

**Step 1:** Draw a line segment AB** **and mark any point M on it.

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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 PQ . Take any point R not on it. Through R, draw a perpendicular to PQ . (use ruler and set-square)**

**Answer**

**Step 1:** Draw a line segment PQ** **and a point R outside of PQ

**Step 2:** Place a set square on **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 RS ⊥ 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 XY perpendicular to l. Now draw a perpendicular to XY at Y. (use ruler and compasses)
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**Answer**

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

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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.

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

**With Y as centre and a suitable radius, draw an arc to intersect XY at two points P and Q.**

Step 5:

Step 5:

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

Step 6:

Step 6:

**, draw two arcs to intersect each other at Z.**

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Step 7:** Join Y and Z. Thus YZ ⊥ XY .

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