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 What symbol means "is congruent to"? (describe it, e.g. three-line equals)
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≡ — a three-line equals sign.
2 Does a translation (slide) give a congruent image?
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Yes.
3 Which transformation changes the SIZE of a figure?
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Enlargement.
Level 2 · Core
4 If △ABC ≡ △DEF, which side equals AB?
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DE.
5 If △PQR ≡ △XYZ, which side equals QR?
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YZ.
6 Two squares have sides 5 cm and 8 cm. Are they congruent or similar?
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Similar only.
Level 3 · Challenge
7 How many facts does the statement △ABC ≡ △DEF give you?
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6 — three equal sides and three equal angles.
8 You prove △ABC ≡ △DEF and DE = 7 cm. What is AB? (cm)
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7 cm.
9 Two triangles have all three angles equal. Congruent or similar?
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Similar only — equal angles never prove congruence.