In the given figure, ∠ABC = 75°, ∠EDC = 75° state which two triangles are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.

In the given figure, ∠ABC = 75°, ∠EDC = 75° state………..

Practice Set 1.3 | Q 1 | Page 21
In the given figure, ∠ABC = 75°, ∠EDC = 75° state which two triangles are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.

In figure1.55, Ð ABC=75°, Ð EDC=75° state which two triangles are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.
Solution

Given: 
∠ABC = 75°, ∠EDC = 75°
Now, in △ABC and △EDC
∠ABC = ∠EDC = 75°         (Given)
∠C = ∠C         (Common)
By AA test of similarity
△ABC ∼ △EDC

Answer:-

Given: ∠ABC = 75°, ∠EDC = 75°

To prove: △ABC ∼ △EDC by AA test of similarity.

Explanation:

One possible correspondence of the vertices of the two triangles is: A ↔ E B ↔ D C ↔ C

Thus, the two triangles are similar because they have two corresponding angles that are equal.

Chapter 1. Similarity- Practice Set 1.3  – Page 21


Q 11


Q 1


Q 2

Click Here for All Textbook Soutions of Chapter 1: Similarity