6th Maths : Term 2 Unit 4 : Geometry : Exercise 4.2 : Text Book Back Exercises Questions with Answers, Solution

**Exercise
4.2**

** **

**1. Draw a line segment AB = 7 cm and mark a point P on it. Draw a line
perpendicular to the given line segment at P.**

**Step 1 :** Draw a line AB = 7 cm and take
a point P on the line

**Step 2 :** Place the set square on the
line in such a way that the vertex which forms right angle coincides with P and
one arm of the right angle coincides with the line AB.

**Step 3 :** Draw a line PQ through P along
the other arm of the right angle at the set square.

**Step 4 :** The line PQ is perpendicular
to the line AB at P.

That is PQ ⊥ AB.

∠APQ = ∠BPQ = 90°

** **

**2. Draw a line segment LM = 6.5 cm and take a point P not lying on it. Using
a set square construct a line perpendicular to LM through P.**

**Step 1 :** Draw a line LM = 6.5 cm. Take
a point P above the line LM.

**Step 2 :** Place one of the arms of the
right angle of a set square along the line LM and the other arm of its right
angle touches the point P.

**Step 3 :** Draw a line through the point
P meeting LM at Q.

**Step 4 :** The line PQ is perpendicular
to the line LM at Q.

That is PQ ⊥ LM.

** **

**3. Find the distance between the given
lines using a set square at two different points on each of the pairs of lines and
check whether they are parallel.**

Yes.

They are parallel.

** **

**4. Draw a line segment measuring 7.8 cm. Mark a point B above it at a distance
of 5 cm.**

**Through B draw a line parallel to the
given line segment.**

**Step 1 :** Draw a line segment xy = 7.8
cm and mark a point A on the line.

**Step 2 :** Place the set square in such
away that the vertex of the right angle coincides with A and one of the edges
of right angle lies along XY mark the point B such that AB = 5 cm.

**Step 3 :** Place the set square under the
line XY and fix the scale touching the set square.

**Step 4 :** Hold the scale firmly and slide
the set square along the edge of the scale until the other edge touches the
point B. Draw a line BC through B.

**Step 5 :** The line BC is parallel to XY.
That is, BC ||
XY.

** **

**5. Draw a line and mark a point R below
it at a distance of 5.4 cm Through R draw
a line parallel to the given line.**

**Step 1 :** Using a scale draw a line AB
and mark a point Con the line.

**Step 2 :** Place the set square upside down
such that the vertex of the right angle coincides with C and one of the edges
of right angle lies along AB. Mark a point R below AB such that CR = 5.4 cm

**Step 3 :** Place the setsquare below AB
and fix the scale touching the set square.

**Step 4 :** Hold the scale firmly and slide
the set square down until the other edge touches the point R. Draw a line RS
through R.

**Step 5 :** The line RS is parallel to AB.
That is RS || AB.

Tags : Questions with Answers, Solution | Geometry | Term 2 Chapter 4 | 6th Maths , 6th Maths : Term 2 Unit 4 : Geometry

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6th Maths : Term 2 Unit 4 : Geometry : Exercise 4.2 | Questions with Answers, Solution | Geometry | Term 2 Chapter 4 | 6th Maths

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