Congruency of Line Segments

Q. Which of the following triangles have all the three sides congruent to each other?

1. Isosceles triangle
2. Equilateral triangle
3. Scalene triangle
4. Acute angle triangle

Q. Choose the correct statements.

1. Two line segments with same length are always congruent.
2. All concentric circles are congruent.
3. All the angles of any square are congruent.
4. All right angled triangles are congruent if they have hypotenuse of same length.

Q. Identify number of congruent line segments in the following figure.

1. 1
2. 4
3. 3
4. 0

Q.

Based on the sides, classify the following triangles (figures not drawn to the scales):

Q. All the edges of the are always .

1. cube
2. cuboid
3. similar
4. congruent & similar

Q.

For constructing $\Delta$LMN exactly identical to $\Delta$ABC, choose from the options, the measurements required.

1. LM, MN, LN and ∠MLN

2. LM, MN, LN, ∠MLN and ∠MNL

3. LM, MN and LN

4. MN and LN

Q. Match the type of the triangle with their corresponding number of congruent sides.

1. 2
2. \N
3. 3

Q. Justify your answer by stating whether the statements are true or false.
(i) Two line segments with same length are always congruent.
(ii) All concentric circles are congruent.
(iii) All the angles of any square are congruent.
[3 marks]

Q. How many pairs of congruent sides are there in an isosceles triangle?

1. 1
2. 3
3. 2
4. 0

Q. Two line segments of the lengths 3 cm are 5 cm are always _____ .

1. congruent
2. non congruent
3. similar
4. None of the above

Q.

Line AB of 4 cm is drawn. Another line CD which is congruent and perpendicular to AB is drawn. Length of CD is_____.

1. 3 cm

2. 5 cm

3. 4 cm

4. 2 cm