# State TRUE or FALSE. If false , give reasons for that:1 . If two traingles have their corresponding angles equal, then the traingles are congruent.2. Any two right - angled traingles are congruent.3. A 1 - rupee and a 5 - rupee coind are congruent.4. If two traingles are congruent, their corresponfing angles are equal.

we know triangle can be congruence according to these rules

1 )  SSS (  Side - Side  - Side ) If three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.

2 )  SAS (  Side - Angle - Side ) If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

3 )  ASA (  Angle - Side - Angle  ) If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

4 )  AAS (  Angle - Angle - Side   ) If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

4 )  RHL (  Right angle - Hypotenuse - Leg   ) If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.

So ,

we can see that in all five rules , we have to show three reason to prove any two triangle congruent to each other .

So, we can say we  can't show congruency by just two reasons instead of three .

So,

1 . If two triangles have their corresponding angles equal, then the triangles are congruent. -  False (  As we just know two reason , that is not sufficient as we discuss above )

2. Any two right - angled triangles are congruent. - False (  As here we know triangles are right angles but their sides could be any thing , so can't state that these are congruent )

3. A 1 - rupee and a 5 - rupee coin are congruent. - False (  As we know two circle can be congruent when they have equal radii ( as coin is in shape of circle )  but here we are not sure that both have same radii or not , So we can say both coins are not congruent )

4. If two triangles are congruent, their corresponding angles are equal. -  True ( from CPCT ( corresponding parts of congruent triangles )  rule for congruent triangle , we know if any two triangles are congruent to each other , than their corresponding angles and sides equal to each other )

• 0

1. False

2. False

3. False

4. True

• 0

Reason?

• 0

1. False

2. False

3. False

4. True

• 0
What are you looking for?