Question

18. Which of the following statements are true and which of them are false?
(i) All squares are congruent.true or false.
(ii) If two squares have equal areas, they are congruent.true or false.
(iii) If two figures have equal areas, they are congruent.true or false.
(iv) If two triangles are equal in area, they are congruent.true or false.
​

Answer 1

Answer:

(i) True

(ii)True

(iii)False

(iv)True

Step-by-step explanation:

Think so it may be right

Answer 2

Answer:

(i) is false, (ii) is true, (iii) is false and (iv) is false

Step-by-step explanation:

(i) is false because two squares can have different length of sides. (ii) is true but it would be false for other shapes because multiple combinations can lead to the same area. However, since a square's sides are equal, there is only one possible combination for a certain area. (iii) and (iv) are false because, like I said, multiple combinations can lead to the same area.