Question

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

Triangle ABC has angles of 18, 21, 24.
Triangle DEF has angles of ?, 7, ?

Answer 1

3/1

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.

Explanation:

Since we have given that

ΔABC ~ Δ DEF

If ΔABC, has angles of 18, 21 and 24.

If ΔDEF, has angles of ?,7,?.

`(18)/(x)=(21)/(7)\\\\(18)/(x)=3\\\\x=(18)/(3)=6`

similarly,

`(21)/(7)=(24)/(y)\\\\3=(24)/(y)\\\\y=(24)/(3)\\\\y=8`

Hence, corresponding angles will be 6 and 8 respectively.