Similar shapes & congruence
Edexcel GCSE Maths revision on Similar shapes & congruence. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
Which condition is sufficient to prove that two triangles are congruent?
- A) Side side side because all three sides are equal
- B) Side side angle because two sides match one angle
- C) Angle angle angle because all angles are the same
- D) Area side area because the total space is aligned
Show answer
Answer: Side side side because all three sides are equal
The correct answer is Side side side because all three sides are equal. The other options are incorrect because Angle-Angle-Angle only proves similarity, not congruence, and Side-Side-Angle is not a valid proof for congruence.
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Question 2
Two shapes are similar. If the length scale factor between them is 3, what is the ratio of their areas?
- A) The ratio is nine to one
- B) The ratio is three to one
- C) The ratio is six to three
- D) The ratio is four to zero
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Answer: The ratio is nine to one
The correct answer is The ratio is nine to one. When shapes are similar, the area scale factor is the square of the length scale factor, so 3 squared equals 9.
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Question 3
What is the length of the missing side on a similar triangle if the original side is 4 cm and the scale factor is 2.5?
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Answer: 10
The correct answer is 10. To find the corresponding length in a similar shape, you multiply the original length by the scale factor of 2.5, resulting in 10 cm.
Want to test yourself on the remaining cards for this topic?
13 more questions on Similar shapes & congruence — plus mistakes tracking and spaced repetition across the whole Maths spec.