Question
Figure I and Figure II are similar quadrilaterals.
figure 1: 10 cm, 8.5 cm, 11 cm, 8.5 cm
figure 2: 4.25, 5 cm, 4.25 cm, b cm
Which proportion must be true?
a 10/5 = 11/b
b 10/5 = b/11
c 8.5/5 = b/8.5
d 10/b = 11/5
figure 1: 10 cm, 8.5 cm, 11 cm, 8.5 cm
figure 2: 4.25, 5 cm, 4.25 cm, b cm
Which proportion must be true?
a 10/5 = 11/b
b 10/5 = b/11
c 8.5/5 = b/8.5
d 10/b = 11/5
Answers
GPT 3.5
The answer is d) 10/b = 11/5.
In similar figures, the corresponding sides are proportional.
In this case, we can compare the side lengths of Figure I and Figure II.
In Figure I, the side lengths are 10 cm, 8.5 cm, 11 cm, and 8.5 cm.
In Figure II, the side lengths are 4.25 cm, 5 cm, 4.25 cm, and b cm.
To find the proportion that must be true, we compare the corresponding side lengths:
10 cm / 4.25 cm = 11 cm / b cm
We can cross multiply to solve for b:
10b = 4.25 * 11
10b = 46.75
Dividing both sides by 10, we get:
b = 46.75 / 10
b ≈ 4.675 cm
Therefore, the correct proportion is 10/b = 11/5.
In similar figures, the corresponding sides are proportional.
In this case, we can compare the side lengths of Figure I and Figure II.
In Figure I, the side lengths are 10 cm, 8.5 cm, 11 cm, and 8.5 cm.
In Figure II, the side lengths are 4.25 cm, 5 cm, 4.25 cm, and b cm.
To find the proportion that must be true, we compare the corresponding side lengths:
10 cm / 4.25 cm = 11 cm / b cm
We can cross multiply to solve for b:
10b = 4.25 * 11
10b = 46.75
Dividing both sides by 10, we get:
b = 46.75 / 10
b ≈ 4.675 cm
Therefore, the correct proportion is 10/b = 11/5.