Question

Using a set square and a ruler construct a line perpendicular to given line at a point on it.

Answer 1

Step 1 :

(i) Draw a line $AB$ with the help of a ruler.

(ii) Mark a point $P$ on it.

Step 2 :

(i) Place a ruler on the line $AB$

(ii) Place one edge of a set square containing the right angle along the given line $AB$.

Step 3 :

(i) Pressing the ruler tightly with the left hand, slide the set square along the ruler till the edge of the set square touches the point P.

(ii) Through $P$, draw a line $PQ$ along the edge

Step 4 :

$PQ$ is the required line perpendicular to $AB$. Measure and check if m$\angle APQ=m\angle BPQ=90°$