similarity

• What are similar shapes?

  Shapes with the same shape but different sizes
• How can you tell if two shapes are similar?

  By checking if they have the same angles
• What do you need to know to confirm two shapes are similar?

  All of the angles inside each shape
• What does it mean if two shapes have the same angles?

  It confirms that the shapes are similar
• What is typically asked in exams regarding similar shapes?

  To find an unknown side length
• What is the scale factor in similar shapes?

  How many times bigger one shape is than another
• How do you find the scale factor between two shapes?

  By comparing two equivalent sides
• If the larger side is 6 cm and the smaller side is 3 cm, what is the scale factor?

  2
• If the scale factor is 2, what is the length of a side that is 5 cm on the smaller shape?

  10 cm
• What does "mathematically similar" mean?

  It means similar shapes as discussed
• How do you find the scale factor between two triangles with sides 8 cm and 12 cm?

  By dividing 12 cm by 8 cm
• What is the scale factor if the larger triangle side is 12 cm and the smaller is 8 cm?

  1.5
• How do you find the length of x if the equivalent side is 26 cm and the scale factor is 1.5?

  Multiply 26 cm by 1.5
• What is the length of x if it corresponds to a 26 cm side with a scale factor of 1.5?

  39 cm
• How do you find the length of y if its equivalent side is 45 cm and the scale factor is 1.5?

  Divide 45 cm by 1.5
• What is the length of y if its equivalent side is 45 cm and the scale factor is 1.5?

  30 cm
• Why is it easier to find the scale factor from the smaller shape to the bigger shape?

  It avoids confusing scale factors less than one
• What happens if you find the scale factor from the larger shape to the smaller shape?

  You get a scale factor less than one
• What is the scale factor from shape d to shape c if the sides are 8 cm and 12 cm?

  $\frac{2}{3}$
• Why is it harder to work with a scale factor less than one?

  It's harder to multiply and divide by it
• What are the steps to find missing sides in similar shapes?

  1. Identify the scale factor.
  2. Use equivalent sides to calculate.
  3. Multiply or divide based on shape size.
• What is the relationship between angles and similar shapes?

  • Similar shapes have equal corresponding angles.
  • This equality confirms their similarity.
• What are the implications of using the wrong scale factor direction?

  • Confusion in calculations.
  • Incorrect side lengths derived.