Question 80
Copy the figure on your notebook and draw a perpendicular to l through P, using (i) set squares (ii) protractor (iii) ruler and compass. How many such perpendiculars are you able to draw?
Question 80
Copy the figure on your notebook and draw a perpendicular to l through P, using (i) set squares (ii) protractor (iii) ruler and compass. How many such perpendiculars are you able to draw?
We draw a perpendicular to l through P, using
(i) Set squares
Steps of construction are as follows:
Step l: A line l and a point P are given. Note that P is on the line l.
Step II: Place a ruler with one of its edges along l. Hold it firmly.
Step III: Place a set square with one of its edge along the already aligned edge of the ruler, such that the right-angled corner is in contact with the ruler.
Step IV: Slide the set square along the edge of ruler until its right-angled corner coincides with P.
Step V: Hold the set square firmly in this position. Draw ¯¯¯¯¯¯¯¯PQ along the edge of the set square.
(ii) Protractor
Step I: A line l and a point P are given. Note that P is on the line l.
Step II: Place the protractor on the line, such that its baseline coincides with l and its centre falls on P.
Step III: Mark a point B against the 90∘ mark on the protractor.
Step IV: Remove the protractor an draw a line m passing through P and B, Then, PB is perpendicular to l.
(iii) Ruler and Compass
Step I: Given, a point P on a line l.
Step II: With P as the centre and a convenient radius, construct an arc intersecting the line l at two points A and B.
Step III: With A and B as centres and a radius greater than AP construct two arcs, which cut each other at Q
Step IV: Join PQ. Then, PQ is perpendicular to I.
Hence, we are able to draw one perpendicular line.
We draw a perpendicular to l through P, using
(i) Set squares
Steps of construction are as follows:
Step l: A line l and a point P are given. Note that P is on the line l.
Step II: Place a ruler with one of its edges along l. Hold it firmly.
Step III: Place a set square with one of its edge along the already aligned edge of the ruler, such that the right-angled corner is in contact with the ruler.
Step IV: Slide the set square along the edge of ruler until its right-angled corner coincides with P.
Step V: Hold the set square firmly in this position. Draw ¯¯¯¯¯¯¯¯PQ along the edge of the set square.
(ii) Protractor
Step I: A line l and a point P are given. Note that P is on the line l.
Step II: Place the protractor on the line, such that its baseline coincides with l and its centre falls on P.
Step III: Mark a point B against the 90∘ mark on the protractor.
Step IV: Remove the protractor an draw a line m passing through P and B, Then, PB is perpendicular to l.
(iii) Ruler and Compass
Step I: Given, a point P on a line l.
Step II: With P as the centre and a convenient radius, construct an arc intersecting the line l at two points A and B.
Step III: With A and B as centres and a radius greater than AP construct two arcs, which cut each other at Q
Step IV: Join PQ. Then, PQ is perpendicular to I.
Hence, we are able to draw one perpendicular line.
