Introduction to Construction

Q. State True or False.

A perpendicular bisector divides the line segment into two equal halves and the angles thus formed are both right angles.

1. True
2. False

Q. In $\Delta$ XYZ, x, y and z denote the three sides. Which of the following is incorrect?

1. x - y > z
2. x + z > y
3. x - y < z
4. x + y > z

Q. Can a triangle have
(i) two right angles?
(ii) all angles equal to 60°?
(iii) two acute angles?
Justify your statement in each case.

Q.

In a triangle ABC if BC is the base, $\angle B$ is 60° , and AB-AC=0, then the value of the angle opposite to the side BC _____.

1. 60°
2. 70°
3. 90°
4. 40°

Q.

1. Draw an angle measuring 102° and bisect it.

Q. Construct a triangle ABC in which BC is 3.5 cm, angle B is ${75}^{\circ }$ and AB + AC = 6.5 cm.
[4 Marks]

Q. Which of the following are congruency conditions?

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

Q.

In the above question, which of the following geometrical figures would help you go ahead with the problem?

1. Line

2. Perpenidcular bisector

3. None of these

4. Arcs (part of a circle)

Q. cannot be constructed with a ruler and compass.

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

Q.

A ___ bisector divides the line segment into two equal halves and the angles thus formed are both right angles.

Q.

In the above question, which of the following geometrical figures would help you in solving the problem?

1. Line

2. Line segment

3. Perpendicular bisector

4. Arc (part of a circle)

Q.

In the above question, which of the following geometrical figures would help you in solving the problem?

1. Line segment

2. Perpendicular bisector

3. Arc (part of a circle)

4. Line