Question

figure i and figure ii are similar non - regular hexagons. what proportion must be true?
on the principals desk are two similar computer screens. one screen has a side length of 13
inches, while the other screen has a corresponding side of 15 inches. if the perimeter of the
smaller screen is 39 in, what is the perimeter of the larger screen?
a) 39.3 inches
b) 42 inches
c) 45 inches
d) 48 inches

Explanation:

Step1: <Understand the property of similar figures>

For similar figures, the ratios of corresponding sides are equal.

Step2: <Analyze each option>

• Option c: If Figure I and Figure II are similar non - regular hexagons, then \(\frac{EF}{CD}=\frac{ST}{WR}\) (corresponding sides of similar polygons are in proportion).
• Option a: \(\frac{AB}{AP}=\frac{TU}{UV}\) is not a ratio of corresponding sides of similar hexagons.
• Option b: \(\frac{AB}{CD}=\frac{RS}{TU}\) is not a correct ratio of corresponding sides.
• Option d: \(\frac{AB}{EF}=\frac{WV}{ST}\) is not a correct ratio of corresponding sides.

Answer:

C. \(\frac{EF}{CD}=\frac{ST}{WR}\)