Question

If ABC ~ DEF, What is the scale factor of ABC to DEF?

Answer 1

Answer:

3/1

Step-by-step explanation:

Using the similarity statement, ∠A corresponds with ∠D; ∠B corresponds with ∠E; and ∠C corresponds with ∠F.

The only angle of triangle DEF we have is ∠E, which is 7.  This corresponds with ∠B; this makes the scale factor of ABC to DEF

21/7 = 3/1.

Answer 2

Answer: Corresponding angles will be 6 and 8 respectively.

Step-by-step explanation:

Since we have given that

ΔABC ~ Δ DEF

If ΔABC, has angles of 18, 21 and 24.

If ΔDEF, has angles of ?,7,?.

$\frac{18}{x}=\frac{21}{7}\\\\\frac{18}{x}=3\\\\x=\frac{18}{3}=6$

similarly,

$\frac{21}{7}=\frac{24}{y}\\\\3=\frac{24}{y}\\\\y=\frac{24}{3}\\\\y=8$

Hence, corresponding angles will be 6 and 8 respectively.