In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling, possibly with additional translation, rotation and reflection.
Definition. Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Properties
Formulas. According to the definition, two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.
Similar Triangles and Congruent Triangles. The comparison of similar triangles and congruent triangles is given below in the table.
Similar triangles Theorems with Proofs. Let us learn here the theorems used to solve the problems based on similar triangles along with the proofs for each.
Answers & Comments
Verified answer
Answer:
In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling, possibly with additional translation, rotation and reflection.
Answer:
Similar Triangles
Properties
Step-by-step explanation: