Question

1. There are some statements given below. Write whether they are true or false :
i. Two circle are always congruent. ( )
ii. Two line segments of same length are always congruent. ( )
iii. Two right angle triangles are sometimes congruent. ( )
iv. Two equilateral triangles with their sides equal are always congruent. ( )

Answer 1

Answer:

• Ans1) Yes if they have the same size
• Ans1) Yes if they have the same size Ans2) Yes they are if the have the same lenght
• Ans1) Yes if they have the same size Ans2) Yes they are if the have the same lenght Ans3) Yes  If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent.
• Ans1) Yes if they have the same size Ans2) Yes they are if the have the same lenght Ans3) Yes  If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent.Ans4) yes When triangles are congruent, the corresponding sides are equal. Since two equilateral triangles can have sides of different lengths each to each, comparatively, the corresponding sides are not equal. Hence, equilateral triangles will be congruent only if a side of one triangle is equal to a side of the other.