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Maths (Higher)
Similarity

Starter quiz

  • A hexagon is enlarged by scale factor 3. What properties of the hexagon and its image are invariant?
    • area
    • interior angles  ✓
    • order of rotational symmetry  ✓
    • perimeter
    • side lengths
  • Rectangle A has been enlarged to create rectangle B. Select the correct statements.
    Rectangle A has been enlarged to create rectangle B. Select the correct statements.
    • The perimeter of rectangle A is \frac{1}{9} the perimeter of rectangle B
    • The perimeter of rectangle A is \frac{1}{3} the perimeter of rectangle B  ✓
    • The area of rectangle A is \frac{1}{3}t he area of rectangle B
    • The area of rectangle A is \frac{1}{9} the area of rectangle B  ✓
    • The area of rectangle A is 3 the area of rectangle B
  • Rectangle A has been enlarged to create rectangle B. The area of rectangle B is <span class="blank">______</span> cm²
    Rectangle A has been enlarged to create rectangle B. The area of rectangle B is ______ cm²
    • '405' ✓
  • Trapezium B is an enlargement of trapezium A. Calculate the area of trapezium B.
    Trapezium B is an enlargement of trapezium A. Calculate the area of trapezium B.
    • 40 cm²
    • 120 cm²
    • 240 cm²
    • 360 cm²  ✓
    • 400 cm²
  • Match each linear scale factor to the area scale factor.
    • Linear scale factor: 5
      ⇔
      Area scale factor: 25 ✓
    • Linear scale factor: \frac{1}{2}
      ⇔
      Area scale factor: \frac{1}{4} ✓
    • Linear scale factor: 3
      ⇔
      Area scale factor: 9 ✓
    • Linear scale factor: 0.1
      ⇔
      Area scale factor: 0.01 ✓
    • Linear scale factor: 10
      ⇔
      Area scale factor: 100 ✓
    • Linear scale factor: \frac{3}{2}
      ⇔
      Area scale factor: \frac{9}{4} ✓
  • Shape S is an enlargement an enlargement of shape R. The area of shape R is 24 cm². The area of shape S is <span class="blank">______</span> cm².
    Shape S is an enlargement an enlargement of shape R. The area of shape R is 24 cm². The area of shape S is ______ cm².
    • '150' ✓
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