How many types of Similarity ?
Answers
Answer :–
There are 3 types of Similarity.
- AA - Similarity (Angle - Angle Similarity)
- SAS - Similarity (Side - Angle - Side Similarity)
- SSS - Similarity (Side - Side - Side Similarity)
More Info about Similarity :–
Definition of similarity :– Two triangles ∆ABC and ∆PQR are called similar if,
- Corresponding angles are equal.
- Corresponding sides are proportional.
Types of similarity :–
1. AA - Similarity (Angle - Angle Similarity)
It is a similarity in which the two angles of two triangles ∆ABC and ∆PQR is equal.
So here,
∠A = ∠P
∠B = ∠Q
★ Diagram is refer to the 1st attachment ★
2. SAS - Similarity (Side - Angle - Side Similarity)
It is a similarity in which the two sides and one angle of two triangles ∆ABC and ∆PQR is equal.
So here,
AB = PQ
BC = QR
∠B = ∠Q
★ Diagram is refer to the 2nd attachment ★
3. SSS - Similarity (Side - Side - Side Similarity)
It is a similarity in which all the three sides of two triangles ∆ABC and ∆PQR is equal.
So here,
AB = PQ
BC = QR
AC = PR
★ Diagram is refer to the 3rd attachment ★
Answer:
There are four similarity tests for triangles. If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar. It is sufficient to prove that only two pairs of angles are respectively equal to each other.
hope it will help u (^_^)