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HomeQuestion 1FluencyCore
Original practice · Free Online RevisionSkill · SSS similarity
Triangles have side lengths 3,4,5 and 6,8,10. Are they congruent or similar?
Geometry & MensurationCoreMaths revision
Congruence and Similarity
Distinguish exact congruence from scaled similarity and use scale factors across length, area and volume.
Focus points
✓Apply congruence criteria.
✓Use similarity scale factors.
✓Relate length, area and volume scales.
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Practice setQuestion lineup
Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.
8 revision questions
Question 2FluencyCore
Original practice · Free Online RevisionSkill · congruence
Two triangles have sides 5,7,8 and 5,7,8. What congruence criterion applies?
Question 3FluencyCore
Original practice · Free Online RevisionSkill · length scale factor
Similar triangles have corresponding sides 6 cm and 15 cm. Find the scale factor from smaller to larger.
Question 4FluencyCore
Original practice · Free Online RevisionSkill · similar lengths
A side of 9 cm on the smaller triangle corresponds to 21 cm on the larger. Another smaller side is 12 cm. Find the matching larger side.
Question 5FluencyCore
Original practice · Free Online RevisionSkill · area scaling
Two similar shapes have length scale factor 3. Find the area scale factor.
Question 6FluencyCore
Original practice · Free Online RevisionSkill · volume scaling
Two similar solids have volume ratio 125:8. Find the length scale factor.
Question 7ReasoningCore
Original practice · Free Online RevisionSkill · conceptual reasoning
Explain why AAA proves similarity but not congruence.
Question 8ChallengeStretch
Original practice · Free Online RevisionSkill · area-to-length scaling
Two similar cones have surface areas in ratio 49:81. If the smaller height is 14 cm, find the larger height.