1. In the question it is given that AB=AD.But can we write AB=DA while proving cungruency. 2. also if in two triangles common sides AB=BA Can't we write AB=AB? Is it necessary to write in a particular way?
1. Yes, you can write AB=DA while proving congruency. In mathematics, equality is a symmetric relation, which means that if AB=AD, then AD=AB. This means that the order in which you write the two sides of the equation does not matter. When proving congruency, it is important to show that corresponding sides and angles of the two triangles are equal. So, if it is given that AB=AD, you can also write AD=AB while proving congruency.
2. Yes, you can write AB=AB if the two triangles have a common side. In mathematics, equality is a reflexive relation, which means that any quantity is equal to itself. So, it is always true that AB=AB. However, when proving congruency between two triangles, it is important to show that corresponding sides and angles of the two triangles are equal. So, if the two triangles have a common side AB, you can write AB=AB to show that the corresponding sides are equal. It is not necessary to write it in a particular way as long as you clearly show that the corresponding sides and angles are equal.
Answers & Comments
Answer:
1. Yes, you can write AB=DA while proving congruency. In mathematics, equality is a symmetric relation, which means that if AB=AD, then AD=AB. This means that the order in which you write the two sides of the equation does not matter. When proving congruency, it is important to show that corresponding sides and angles of the two triangles are equal. So, if it is given that AB=AD, you can also write AD=AB while proving congruency.
2. Yes, you can write AB=AB if the two triangles have a common side. In mathematics, equality is a reflexive relation, which means that any quantity is equal to itself. So, it is always true that AB=AB. However, when proving congruency between two triangles, it is important to show that corresponding sides and angles of the two triangles are equal. So, if the two triangles have a common side AB, you can write AB=AB to show that the corresponding sides are equal. It is not necessary to write it in a particular way as long as you clearly show that the corresponding sides and angles are equal.