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Year 9 maths · K.13 · Transformations

Congruent, similar or neither: compare side lengths

Put the sides in order. Equal sides mean congruent. Sides in the same ratio mean similar. Otherwise neither.

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  1. Triangle 1 has sides 7, 6, 3. Triangle 2 has sides 1, 6, 7. Are the triangles congruent, similar (but not congruent), or neither? Write congruent, similar or neither.

    Answer: neither

  2. Triangle 1 has sides 7, 4, 7. Triangle 2 has sides 7, 7, 4. Are the triangles congruent, similar (but not congruent), or neither? Write congruent, similar or neither.

    Answer: congruent

  3. Triangle 1 has sides 12, 13, 3. Triangle 2 has sides 9, 39, 36. Are the triangles congruent, similar (but not congruent), or neither? Write congruent, similar or neither.

    Answer: similar

Tip: Put the sides in order. Equal sides mean congruent. Sides in the same ratio mean similar. Otherwise neither.

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