Question 1: A drawing of a rectangle measures 4 cm by 6 cm. It is enlarged to a new rectangle with sides measuring 10 cm and 15 cm. What is the scale factor of the enlargement?

Answer: 2.5

Question 2: If a triangle's sides are scaled by a factor of 3, and one side originally measures 5 cm, what is the length of the enlarged side?

Answer: 15

Question 3: A scale drawing has a scale factor of 1:4. If a length in the drawing is 3 cm, what is the actual length?

Answer: 12

Question 4: Construct a square on the grid with a side length of 2 cm. Then enlarge it so that the side length measures 6 cm. What is the scale factor used for this enlargement?

Answer: 3

Question 1: A small drawing of a car is 8 cm long. It is enlarged to a scale drawing where the car measures 24 cm. What is the scale factor of the enlargement? If the real car is 4.8 meters long, what is the length of the small drawing in meters?

Answer: 3, 0.16

Question 2: A map shows a park with a scale of 1:2500. If the distance between two points on the map is 5 cm, what is the actual distance in meters? If the actual distance is 1.5 km, what is the length of the corresponding segment on the map?

Answer: 125m, 3cm

Question 3: A poster's image is scaled up from an original photograph. The original is 15 cm wide, and the enlarged image is 45 cm wide. If the original photograph was 10 cm tall, what is the height of the enlarged image if the aspect ratio remains the same?

Answer: 30

Question 1: Construct a rectangle with a width of 3 cm and height of 5 cm. Enlarge it so that the width becomes 9 cm. What is the scale factor for this enlargement, and what is the height after enlargement?

Answer: 3, 15

Question 2: The original side length of a square is 4 cm. It is enlarged by a scale factor of 2.5. What is the new side length? Draw the squares on the grid and label the sides.

Answer: 10

Question 3: A scale drawing shows a room that measures 5 m by 4 m in actual size. The drawing uses a scale factor of 1:50. What are the dimensions of the room on the drawing in centimeters?

Answer: 10, 8

Question 1: A scale drawing of a building shows a height of 12 cm. If the actual height is 36 meters, what is the scale factor used for the drawing? If a different drawing shows the same building as 8 cm high, what is the real height in meters in that drawing?

Answer: 3, 108

Question 2: An architect enlarges a model of a house. The model measures 6 inches in length, and the actual house is 24 meters long. What is the scale factor from model to real house? If another model is scaled down to 1/6 of the size of the first model, what is the length of the smaller model in meters?

Answer: 4, 4

Question 1: A student calculates the scale factor of an enlargement as 0.5, believing it to be an enlargement. Identify the mistake and explain what the scale factor indicates about the size change.

Answer: They misunderstood; 0.5 is a reduction, not an enlargement.