Question

The corresponding sides of two similar triangles are . The corresponding angles of two similar triangles are .

Answer 1

Answer:

If two triangles are similar then the corresponding sides of two similar triangles are in equal proportion .The corresponding angles of two similar triangles are equal.

Step-by-step explanation:

Given two triangle are similar

Let $\triangle ABC$$\sim$$\triangle$DEF

Similarity property: When two triangles are similar then the ratio of corresponding sides of two similar triangles are equal and the corresponding angles of two similar triangles are equal.

By similarity property of triangles

We have

$\angle A=\angle D$

$\angle B=\angle E$

$\angle C=\angle F$

$\frac{AB}{DE} =\frac{BC}{EF} =\frac{AC}{DF}$

Hence, The corresponding sides of two similar triangles are equal in proportion and the corresponding angles of two similar triangles are equal.

Answer 2

If the corresponding sides of two similar triangles have congruent angles than the sides correspond to each other 
in triangle abc
and triangle def 
ab:de
bc:ef
ca:fd
so they correspond in ratio but are not necessarily congruent
if in the similar triangles the sides are equal than the angles will correspond in ratio to add up to 180 degrees
so if triangle abc≈ triangle def
then
∠abc:∠def
∠bca:∠efd
∠cab:∠def