It looks like you've uploaded a worksheet titled
"Identifying Proportions Part 2" with several multiple-choice questions asking to determine which pairs of ratios form a proportion.
Since I can't view images directly, I'll need you to provide the text or details from the image so I can help solve the problem. However, based on the title and typical structure of such worksheets, here's how we usually approach identifying proportions:
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🔍 What is a Proportion?
A
proportion is an equation stating that two ratios are equal. For example:
$$
\frac{a}{b} = \frac{c}{d}
$$
This is true if the
cross products are equal:
$$
a \cdot d = b \cdot c
$$
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✔ How to Solve These Problems:
For each question, you're given two ratios (e.g., 3:4 and 6:8). To check if they form a proportion:
1. Write them as fractions.
2. Cross-multiply.
3. If the cross products are equal, then the ratios form a proportion.
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📝 Example:
Suppose one question is:
Which pair of ratios forms a proportion?
A) 2:5 and 4:10
B) 3:7 and 6:9
Let’s test A:
- $ \frac{2}{5} = \frac{4}{10} $
- Cross multiply: $ 2 \times 10 = 20 $, $ 5 \times 4 = 20 $
- Since 20 = 20 →
Yes, it's a proportion.
Test B:
- $ \frac{3}{7} = \frac{6}{9} $
- Cross multiply: $ 3 \times 9 = 27 $, $ 7 \times 6 = 42 $
- 27 ≠ 42 → Not a proportion.
So answer is
A.
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Now, please provide the actual problems from your worksheet (the ratios in each choice), and I’ll walk you through solving each one step by step!
Parent Tip: Review the logic above to help your child master the concept of grade 2 language arts worksheet.