Figure I and Figure II are similar quadrilaterals.

Question

Figure I has sides of 10 cm, 8.5 cm, 8.5 cm, and 11 cm
Figure II has sides of 4.25, 4.25, 5 and b.

Which proportion must be true?
A. 10/5 = 11/b
B. 10/5 = b/11
C. 8.5/5 = b/8.5
D. 8.5/b = 11/b

Answer 1

Since Figure I and Figure II are similar quadrilaterals, their corresponding sides must be proportional.

The corresponding sides of Figure I and Figure II are:
10 cm and 4.25 cm (since both are opposite sides of equal length)
8.5 cm and 4.25 cm (since both are opposite sides of equal length)
8.5 cm and 5 cm (since both are opposite sides of equal length)
11 cm and b

Therefore, we can set up the proportion:
10/4.25 = 8.5/5 = 11/b

Simplifying the proportion, we get:
10/4.25 = 8.5/5
2.35 = 1.7

This is not true.

Therefore, the correct proportion must be:
8.5/5 = b/8.5

So, the correct answer is C.

Answer 2

are u sure?

Answer 3

I apologize for the mistake in my previous response. You're right, I made a calculation error.

Let's correctly set up the proportion using the corresponding sides:

10/4.25 = 8.5/5 = 11/b

Now, let's try each option to see which one is true:

A. 10/5 = 11/b
This simplifies to 2 = 11/b, which is not true.

B. 10/5 = b/11
This simplifies to 2 = b/11, which is not true.

C. 8.5/5 = b/8.5
This simplifies to 1.7 = b/8.5

D. 8.5/b = 11/b
This simplifies to 8.5/b = 11, which is not true.

From the given options, the correct proportion is C. 8.5/5 = b/8.5