Question

Fill in the blanks:
(i) Two line segments are congruent if .......
(ii) Two angles are congruent if ......
(iii) Two squres are congruent if .......
(iv) Two rectangles are congruent if .......
(v) Two circles are congruent if .......

Answer 1

1) They have the same length, since they can superpose on each other.

2) Their measures are the same. On superposition, we can see that the angles are equal.

3) Their sides are equal. All the sides of a square are equal and if two squares have equal sides, then all their sides are of the same length. Also angles of a square are 90^o which is also the same for both the squares.

4) Their lengths are equal and their breadths are also equal. The opposite sides of a rectangle are equal. So if two rectangles have lengths of the same size and breadths of the same size, then they are congruent to each other.

5) Their radii are of the same length. Then the circles will have the same diameter and thus will be congruent to each other.