Question 1: A triangle has sides measuring 4 cm, 6 cm, and 8 cm. It is enlarged to a new triangle with a scale factor of 3. What are the lengths of the sides of the enlarged triangle?

Answer: 12 cm, 18 cm, 24 cm

Question 2: Construct an enlargement of a square with side length 5 cm, scaled by a factor of 2. Draw the original square and the enlarged square on the grid.

Answer: Student draws original and scaled square

Question 3: A photograph measures 10 cm in width. It is enlarged to a width of 30 cm. What is the scale factor of the enlargement?

Answer: 3

Question 4: A model of a building is scaled down so that its height is 12 cm. The real building's height is 60 meters. What is the scale factor from model to real building?

Answer: 1:5000

Question 5: A drawing of a car is enlarged, and the length increases from 8 cm to 20 cm. What is the scale factor of the enlargement?

Answer: 2.5

Question 6: A small map shows a park that measures 5 cm by 8 cm. The actual park measures 1 km by 1.6 km. Find the scale factor of the map.

Answer: 1 cm = 200 m

Question 7: A photograph of a sculpture is enlarged so that its height is 18 cm. The original sculpture’s height is 6 cm. What is the enlargement scale factor?

Answer: 3

Question 8: Construct a triangle with sides 3 cm, 4 cm, and 5 cm. Then enlarge it using a scale factor of 4. Draw the enlarged triangle on the grid.

Answer: Sides 12 cm, 16 cm, 20 cm

Question 9: A blueprint shows a doorway measuring 2 meters in width. The blueprint's scale is 1:50. What is the actual width of the doorway in centimeters?

Answer: 4 cm

Question 10: Identify and correct the mistake: A student says that enlarging a drawing by a scale factor of 0.5 will double its size. Explain the mistake.

Answer: Enlargement with scale factor 0.5 actually reduces size by half, not doubles.