Figure I and Figure II are similar quadrilaterals.
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
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.
are u sure?
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