Practice Method 2: Using Proportions (ratios) (7.2.2) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Method 2: Using Proportions (Ratios)

Practice - Method 2: Using Proportions (Ratios)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Determine the scale factor if Triangle ABC has sides 3 cm and Triangle DEF has corresponding sides of 9 cm.

💡 Hint: Recall the definition of scale factor!

Question 2 Easy

If Rectangle A is similar to Rectangle B and AB = 2 cm, find the ratio if EF = 6 cm.

💡 Hint: Use the scale factor concept!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

If two shapes are similar, what must be true about their corresponding angles?

They must be equal.
They must be unequal.
They must add up to 180.

💡 Hint: Think about what determines similarity.

Question 2

The scale factor of two similar triangles is 3:1. If one side of the smaller triangle is 2 cm, what is the corresponding side on the larger triangle?

💡 Hint: Use the scale factor to find the larger side.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Assuming triangle DEF is similar to triangle GHI. If DE = 5 cm, EF = 8 cm, and HI = 12 cm, find the length of FG.

💡 Hint: Utilize the established scale factor for ratios.

Challenge 2 Hard

A rectangle has dimensions of 4 cm by 6 cm and is scaled to a larger rectangle whose longer side is 18 cm. What is the width of the new rectangle?

💡 Hint: Calculate the scale factor first, then apply it.

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Reference links

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