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If triangle DEF is similar to triangle XYZ and the length of DE is 4 cm and XY i

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Question: If triangle DEF is similar to triangle XYZ and the length of DE is 4 cm and XY is 8 cm, what is the ratio of DE to XY?

Options:

  1. 1:2
  2. 2:1
  3. 1:4
  4. 4:1

Correct Answer: 1:2

Solution: 

The ratio of DE to XY is 4:8, which simplifies to 1:2.

If triangle DEF is similar to triangle XYZ and the length of DE is 4 cm and XY i

Practice Questions

Q1
If triangle DEF is similar to triangle XYZ and the length of DE is 4 cm and XY is 8 cm, what is the ratio of DE to XY?
  1. 1:2
  2. 2:1
  3. 1:4
  4. 4:1

Questions & Step-by-Step Solutions

If triangle DEF is similar to triangle XYZ and the length of DE is 4 cm and XY is 8 cm, what is the ratio of DE to XY?
  • Step 1: Identify the lengths given in the problem. DE is 4 cm and XY is 8 cm.
  • Step 2: Write the ratio of DE to XY. This is done by placing DE over XY, which gives us 4 cm over 8 cm.
  • Step 3: Write the ratio as a fraction: 4/8.
  • Step 4: Simplify the fraction 4/8. Both 4 and 8 can be divided by 4.
  • Step 5: After dividing, we get 1/2.
  • Step 6: Write the simplified ratio in the form of a ratio: 1:2.
  • Similarity of Triangles – Understanding that similar triangles have proportional sides.
  • Ratio Simplification – The ability to simplify ratios to their lowest terms.
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