Construction of Perpendicular Lines Using Set Squares

Q. Sort the steps given to construct the perpendicular lines using set squares.

1. $\mathrm{Draw}a\mathrm{line}\mathrm{among}\mathrm{the}\mathrm{other}\mathrm{perpendicular}\mathrm{side}\mathrm{of}\mathrm{the}\mathrm{set}\mathrm{square}\mathrm{and}\mathrm{label}\mathrm{it}{l}_0.$
2. $\mathrm{Place}\mathrm{either}\mathrm{of}\mathrm{the}\mathrm{set}\mathrm{squares}\mathrm{so}\mathrm{that}\mathrm{one}\mathrm{of}\mathrm{the}\mathrm{perpendicular}\mathrm{sides}\mathrm{is}\mathrm{parallel}\mathrm{to}\mathrm{the}\mathrm{drawn}\mathrm{line}.$
3. $\mathrm{Draw}a\mathrm{line}l\mathrm{using}a\mathrm{ruler}.$
4. $\mathrm{The}\mathrm{two}\mathrm{lines}\mathrm{that}\mathrm{are}\mathrm{drawn}\mathrm{are}\mathrm{perpendicular}\mathrm{lines}.$

Q.

Which diagram shows the construction of the perpendicular bisector of AB?

1. 

2. 

3. 

4. 

Q. The angle is impossible to draw using the set squares given in the geometry box.

1. ${45}^0$
2. ${75}^0$
3. ${95}^0$
4. ${105}^0$

Q.

Draw the perpendicular bisector of $\overline{PQ}$ whose length is $9.5$ cm.

Take any point M on the bisector drawn. Examine whether $MP=MQ$.

Q. AB is a line segment with A and B as centres and any radius greater than half of AB, draw arcs on either side of AB, so that they meet in X and Y as shown. Join XY.
Now, AB is the ____________ of XY

1. angular bisector
2. divider
3. perpendicular bisector
4. midpoint

Q. Give reasons for the following.
A square can be thought of as a special rectangle.

Q.

Which is the easiest and most accurate method to copy a given line segment PQ?

1. Using a compass and ruler

2. Tracing it using a transparent paper

3. Using a ruler

4. Using a set square of $({30}^{\circ }-{60}^{\circ }-{90}^{\circ })$

Q.

Any given line segments can be bisected using

1. Ruler and compasses.

2. By two set-square.

3. protractor.

4. Divider and ruler.

Q. State whether the statement is true (T) or false (F).
Using only the two set-squares of the geometry box, an angle of ${15}^{\circ }$ can be drawn.

1. True
2. False