Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 How many valid congruence tests are there?
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4.
2 Three sides of one triangle equal three sides of another. Which test?
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SSS.
3 What does the H in RHS stand for?
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Hypotenuse.
Level 2 · Core
4 Two sides and the angle BETWEEN them are equal. Which test?
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SAS.
5 Two angles and one matching side are equal. Which test?
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AAS.
6 Is AAA a valid congruence test?
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No — it gives similar triangles only.
Level 3 · Challenge
7 Two sides and an angle NOT between them are equal. Is this a valid test?
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No — two different triangles can fit the same data.
8 In which single case does SSA actually prove congruence?
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When the angle is a right angle — that is RHS.
9 Two right-angled triangles have two equal LEGS (not the hypotenuse). Which test applies?
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SAS — the right angle is included between them, so it is not RHS.