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.
Related Topics
Privacy Policy, Terms and Conditions, DMCA Policy and Compliant
Copyright © 2018-2023 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.