Question

Are the following triangles congruent?If so by what criteria?​

Answer 1

Answer- The above question is from the chapter 'Triangles'.

Triangle: A Triangle is a three-sided polygon with three vertices and three angles.

There are 5 criterion of congruency:

1. SSS (Side-Side-Side Criterion)

2. SAS (Side-Angle-Side Criterion)

3. ASA (Angle-Side-Angle Criterion)

4. RHS (Right-Hypotenuse-Side Criterion)

5. AAS (Angle-Angle-Side Criterion)

Given question: Are the following triangles congruent? If so, by what criteria?

(Attachment is present in the question)

Solution:

9. ​Yes, the two triangles are congruent as the corresponding sides of both the triangles are equal and have the same route.

Congruence criterion: SSS criterion

10. ​Yes, the two triangles are congruent as the corresponding hypotenuse and side of both the triangles are equal and have an equal right angle and have the same route.

Congruence criterion: RHS criterion