Answer:
a) 3/4
Explanation:
Part A
If triangles ABC and JKL are similar, then the ratio of the corresponding sides is:
[tex]\frac{AB}{JK}=\frac{BC}{KL}=\frac{AC}{JL}[/tex]
Substitute the given values:
[tex]\begin{gathered} \frac{AB}{JK}=\frac{27}{36}=\frac{3}{4} \\ \frac{BC}{KL}=\frac{36}{48}=\frac{3}{4} \\ \frac{AC}{JL}=\frac{21}{28}=\frac{3}{4} \end{gathered}[/tex]
Thus, the scale factor from △ABC to △JKL is 3/4.
Part B
Given that ABC and JKL are congruent, then:
[tex]\begin{gathered} \angle A\cong\angle J \\ \angle B\cong\angle K \\ \angle C\cong\angle L \end{gathered}[/tex]
