Answer:
JKL and ABC
DEF and GHI
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding angles is proportional and its corresponding angles are congruent
so
In this problem
1) triangles JKL and ABC are similar
because
[tex]\frac{KL}{BC} =\frac{JL}{AC}[/tex]
substitute the given values
[tex]\frac{10}{20} =\frac{7}{14}[/tex]
Simplify
[tex]\frac{1}{2} =\frac{1}{2}[/tex] ---> is true
therefore
The ratio of the corresponding sides is proportional
That means----> The triangles are similar
2) triangles DEF and GHI are similar
because
[tex]\frac{HI}{EF} =\frac{GI}{DF}[/tex]
substitute the given values
[tex]\frac{15}{10} =\frac{12}{8}[/tex]
Simplify
[tex]1.5=1.5[/tex] ---> is true
therefore
The ratio of the corresponding sides is proportional
That means----> The triangles are similar
