MATH SOLVE

5 months ago

Q:
# The corresponding sides of two similar triangles are . The corresponding angles of two similar triangles are .

Accepted Solution

A:

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

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