Introduction to Constructions

Q.

Construct with ruler and compasses, an angle of $60°$.

Q. When a clock strikes 12:00, the angle between the hour hand and the minute hand is called .

1. straight angle
2. zero angle
3. right angle
4. acute angle

Q.

The instrument in a geometry box having the shape of a semicircle is:

1. ruler

2. divider

3. compass

4. protractor

Q. Draw a line segment AB and bisect it. Bisect one of the equal parts to obtain a line segment of length $\frac{1}{2}$ (AB)

Q. Which of the following angles can be constructed using ruler and compass only?
(a) 65°
(b) 72°
(c) 80°
(d) 67.5°

Q.

Construct the angle of ${60}^o$ using ruler and compass.

Q. Which angle can't be constructed using a ruler and compass?

1. 
   50 Degree
2. 
   60 Degree
3. 
   135 Degree
4. 
   15 Degree

Q.

Construct a 45º angle just by using a ruler and a compass.

Q.

Which of the following angles can be made with the help of ruler and compass?

$35°,40°,57°,75°$

Q.

Which instrument would you use to draw an arc?

1. Divider

2. Protractor

3. Compass

4. Ruler

Q. Which of the following angles can be constructed using ruler and compass only?
(a) 25°
(b) 50°
(c) 22.5°
(d) 42.5°

Q.

Is it possible to construct an angle of $67.5°$, using ruler and compass only?

Q.

Which of the following angles can not be constructed using ruler and compass only?

1. $40°$

2. $135°$

3. $120°$

4. $37.5°$

Q.

As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If $\angle DQX=x^{\circ }$ then $\angle APY=$ ___.

1. $x^{\circ }$

2. $180-x^{\circ }$

3. $90-x^{\circ }$

4. ${180}^{\circ }$

Q. Two lines are said to be perpendicular to each other when they meet at ___ angles.

1. ${180}^{\circ }$
2. ${90}^{\circ }$
3. ${60}^{\circ }$
4. none of these

Q. Sort first 5 steps to construct a parallel line to a given line l.

1. $\mathrm{Mark}a\mathrm{point}A,\mathrm{not}\mathrm{on}\mathrm{the}\mathrm{line}l.$
2. $\mathrm{Draw}\mathrm{another}\mathrm{arc}\mathrm{with}\mathrm{the}\mathrm{same}\mathrm{radius}\mathrm{and}A\mathrm{as}\mathrm{the}\mathrm{centre},\mathrm{such}\mathrm{that}\mathrm{it}\mathrm{intersects}\mathrm{AB}\mathrm{at}F$
3. $\mathrm{Draw}\mathrm{an}\mathrm{arc}\mathrm{with}B\mathrm{as}\mathrm{the}\mathrm{centre},\mathrm{such}\mathrm{that}\mathrm{it}\mathrm{intersects}\mathrm{line}l\mathrm{at}D\mathrm{and}\mathrm{AB}\mathrm{at}E.$
4. $\mathrm{Mark}\mathrm{point}B\mathrm{on}\mathrm{line}l.$
5. $\mathrm{Draw}\mathrm{line}\mathrm{segment}\mathrm{joining}\mathrm{points}A\mathrm{and}B.$

Q. In the given figure, DF is an arc of a circle having radius r. If AD = AF = DF = r and $DE=\frac{3}{4}DF$, then the measure of ∠CAB is

1. 
   15°
2. 
   30°
3. 
   45°
4. 
   22.5°

Q.

Which of the following angles can be constructed without using a protractor?

1. 30${}^{\circ }$

2. 40${}^{\circ }$

3. 50${}^{\circ }$
4. 60${}^{\circ }$

Q. Which of the following angles cannot be constructed using ruler and compass only?
(a)
(b) 15°
(c)
(d)

Q. Which of the following angles cannot be constructed using ruler and compass only?
(a) 40°
(b) 120°
(c) 135°
(d) 37.5°

Q. Construct an angle of ${240}^o$ using compasses and ruler.

Q.

Which of the following angles can not be constructed using a ruler and compasses?

1. ${75}^{\circ }$

2. ${90}^{\circ }$

3. ${135}^{\circ }$

4. ${85}^{\circ }$

Q.

Which of the following angles cannot be constructed using ruler and compass only?
(a) $22\frac{1}{2}°$
(b) $15°$
(c) $52\frac{1}{2}°$
(d) $32\frac{1}{2}°$

Q. Tap the items which are available inside a Geometry Box.

1. Scale
2. silver
3. magnet
4. gold
5. set-squares
6. dividers
7. compass
8. protector

Q. cannot be constructed with a ruler and compass.

1. ${80}^{\circ }$
2. ${60}^{\circ }$
3. ${90}^{\circ }$
4. ${105}^{\circ }$

Q. Draw a line segment AB and by ruler and compasses, obtain a line segment of length $\frac{3}{4}$ (AB).

Q.
With the help of a ruler and , we can draw geometrical figures of given lengths and angles.

1. compass
2. divider
3. set square

Q.

Preeti is trying to draw a line parallel to $PQ$ through a point $R$ (not on $PQ$). How many arcs will she need to draw and how many times she needs to change the distance between the compass tip and the pencil tip respectively?

1. $2and1$

2. $3and1$

3. $0and2$

4. $1and2$

Q. Draw line l and take any point M outside the line. Draw line m || line l through the point M.

Q. Which of the following are congruency conditions?

1. AAA
2. SSA
3. ASA
4. RHA
5. AAS
6. SAS
7. SSS
8. RHS