Unit 6 · Class 8 IB MYP · MCQ Test
Congruence & Similarity MCQ Test — Class 8 IB MYP
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Congruence & Similarity — MCQ Questions
1Two shapes are congruent if they have:
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Answer: Same shape and size
Hint: Congruent means identical in every way.
Solution:
Congruent shapes have the same shape and size.
2Two shapes are similar if they have:
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Answer: Same shape but possibly different size
Hint: Similar shapes are like scaled copies.
Solution:
Similar shapes have the same shape but may differ in size.
3Which congruence criterion requires two angles and the included side?
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Answer: ASA
Hint: The side is between the two angles.
Solution:
ASA = Angle-Side-Angle.
4Which criterion requires all three sides to be equal?
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Answer: SSS
Hint: Three S's for three sides.
Solution:
SSS = Side-Side-Side. All three sides must match.
5A triangle has sides 3, 4, 5. Another has sides 3, 4, 5. Are they congruent?
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Answer: Yes, by SSS
Hint: All three sides match.
Solution:
All corresponding sides are equal, so the triangles are congruent by SSS.
6A scale factor of 2 means the enlarged shape is:
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Answer: Twice the size
Hint: Scale factor multiplies each length.
Solution:
Scale factor 2 means every length is multiplied by 2.
7If two triangles are similar, their corresponding angles are:
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Answer: Equal
Hint: Similar shapes have the same angles.
Solution:
Similar triangles have equal corresponding angles.
8A rectangle is 4 cm by 6 cm. A similar rectangle has a width of 8 cm. What is its length?
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Answer: 12 cm
Hint: Scale factor = 8/4 = 2.
Solution:
Scale factor = 2. — \text{Length} = 6 \times 2 = 12 \text{ cm}
9Which is NOT a congruence criterion for triangles?
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Answer: AAA
Hint: One of these only proves similarity, not congruence.
Solution:
AAA proves similarity but not congruence (triangles could be different sizes).
10A photo is 10 cm wide and 15 cm tall. It is enlarged by a scale factor of 3. What are the new dimensions?
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Answer: 30 cm by 45 cm
Hint: Multiply both dimensions by 3.
Solution:
New dimensions: — 10 \times 3 = 30, \; 15 \times 3 = 45
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Tips for Congruence & Similarity MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Congruence & Similarity MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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