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:

A.Same shape only
B.Same size only
C.Same shape and size
D.Same colour
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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:

A.Same shape only
B.Same size only
C.Same shape but possibly different size
D.Same area
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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?

A.SSS
B.SAS
C.ASA
D.RHS
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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?

A.SSS
B.SAS
C.ASA
D.AAS
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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?

A.Yes, by SSS
B.Yes, by SAS
C.No
D.Cannot determine
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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:

A.Half the size
B.The same size
C.Twice the size
D.Four times the size
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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:

A.Different
B.Proportional
C.Equal
D.Supplementary
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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?

A.10 cm
B.12 cm
C.14 cm
D.16 cm
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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?

A.SSS
B.SAS
C.AAA
D.ASA
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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?

A.30 cm by 45 cm
B.20 cm by 30 cm
C.13 cm by 18 cm
D.30 cm by 30 cm
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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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