BitWithBite
Mathematics Worksheet
🟰 Congruence
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After this worksheet you can
Apply the SSS, SAS and ASA congruence rules.Use corresponding parts of congruent triangles.Understand that congruence allows rotation and reflection.Recognise that SSA is not a valid rule.📚 Quick Recap
Two figures are congruent if they are exactly the same shape and size — one could be placed perfectly on top of the other after moving, flipping, or rotating it.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1Triangles with sides 8, 9, 10 and 8, 9, 10 are congruent by:
2Two sides and the included angle equal proves congruence by:
3If △ABC ≡ △XYZ and BC = 7, then YZ =:
4Which is NOT a valid congruence rule?
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5Two triangles with all three sides equal are congruent by .
6Two sides and the included angle equal proves congruence by .
7Triangle PQR has sides 8, 9, 10; triangle XYZ has sides 8, 9, 10. Are they congruent?
8Two triangles share 2 sides and the included angle. What rule proves congruence?
9If triangle ABC is congruent to triangle XYZ and BC = 7, what is YZ?
🚀 Section C · Challenge ● CHALLENGE 5
10Name the three congruence rules introduced in this lesson.
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-B 3-A 4-D | 5 SSS 6 SAS 7 = Yes, by SSS 8 = SAS 9 = 7 | 10 = SSS, SAS and ASA