Question

1. here is triangle def and its dimensions. which measurements represent the dimensions of a triangle that is a scaled copy of triangle def?

a. 20 cm, 12 cm, 24 cm
b. 9 cm, 5 cm, 10 cm
c. 27 cm, 16 cm, 33 cm
d. 13.5 cm, 7.5 cm, 16.5 cm

Explanation:

Step1: Find the scale factor

For triangle \(DEF\) with sides \(18\mathrm{cm}\), \(10\mathrm{cm}\), \(22\mathrm{cm}\).
Check each option:

• Option A: \(\frac{20}{10} = 2\), \(\frac{12}{18}=\frac{2}{3}\), since \(\frac{2}{3}

eq2\), not a scaled - copy.

• Option B: \(\frac{9}{18}=\frac{1}{2}\), \(\frac{5}{10}=\frac{1}{2}\), \(\frac{10}{22}=\frac{5}{11}

eq\frac{1}{2}\), not a scaled - copy.

• Option C: \(\frac{27}{18}=\frac{3}{2}\), \(\frac{16}{10}=\frac{8}{5}

eq\frac{3}{2}\), not a scaled - copy.

• Option D: \(\frac{13.5}{18}=\frac{135}{180}=\frac{3}{4}\), \(\frac{7.5}{10}=\frac{75}{100}=\frac{3}{4}\), \(\frac{16.5}{22}=\frac{165}{220}=\frac{3}{4}\)

Answer:

D. \(13.5\mathrm{cm},7.5\mathrm{cm},16.5\mathrm{cm}\)