Question

Which of the following statements are true, given Angle S cong to angle J and angle N cong to angle E?

Answer 1

Given,

`\begin{gathered} \angle S\cong\angle J \\ \angle N\cong\angle E \end{gathered}`

When two angle of the angles are equal then the remaining third angle is also equal.

Beacuase the sum of the interior angle of triangle is 180 degree.

It make the third angle also equal.

Hence, angle A is congurent to angle O.

Statement 1 is true.

In the second statement,

when two triangle all its angles congurent then triangles are similar.

Statement 2 is true.

In the third statement,

If the angles are equal then it can be possible that sides are equal or not equal.

If the sides of the triangle are not congruent then triangle cannot be congruent.

Statement 3 is not true.

In the forth statement,

similar to the third statement, sides of the triangle can be congurent or not.

Statement 4 is false.

In the fifth statement,

The triangle are similar then its perimeter can be equal or half or in other fraction to each other.

Statement 5 is false.

Similarly, statement 6 ia true.As the angles are equal so the traingles can mapped onto.

Statement 7 is true.