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🧠Q3 LVL 7: Basic Proportionality Theorem & Triangle Similarity

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10 questions
Show answers
  • Q1
    30s
  • Q2
    30s
  • Q3
    Two similar triangles have a side ratio of 4:9. If the area of the smaller triangle is 32 cm², what is the area of the larger triangle?
    36 cm²
    81 cm²
    64 cm²
    72 cm²
    30s
  • Q4
    If the side lengths of two similar triangles are in the ratio 3:7, and the base of the smaller triangle is 9 cm, what is the length of the base of the larger triangle?
    21 cm
    24 cm
    16 cm
    18 cm
    30s
  • Q5
    True or False: If two triangles are similar, then their corresponding angles are also congruent.
    False
    Only if they have the same area
    True
    Only in right triangles
    30s
  • Q6
    True or False: The sum of the interior angles of a triangle is always 180 degrees.
    Depends on the type of triangle
    Only in isosceles triangles
    True
    False
    30s
  • Q7
    The lengths of two similar rectangles are 6 cm and 15 cm. If the area of the smaller rectangle is 24 cm², what is the area of the larger rectangle?
    36 cm²
    60 cm²
    72 cm²
    40 cm²
    30s
  • Q8
    Two similar triangles have corresponding side lengths of 4 cm and 10 cm. If the area of the smaller triangle is 32 cm², what is the area of the larger triangle?
    64 cm²
    72 cm²
    50 cm²
    80 cm²
    30s
  • Q9
    A flagpole casts a shadow of 10 meters, while a nearby person (1.8 meters tall) casts a shadow of 3 meters. Find the height of the flagpole.
    8 meters
    7.2 meters
    5 meters
    6 meters
    30s
  • Q10
    A flagpole that is 12 meters tall casts a shadow of 9 meters. If a nearby statue is 3 meters tall, how long is the shadow of the statue?
    1.5 meters
    2.25 meters
    3 meters
    2 meters
    30s

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