Question 1: Enlargement involves increasing the size of a shape by a specific scale factor. The new length = original length × scale factor. If a shape is enlarged with a scale factor of 3, what is the length of a side originally 4 cm?

Answer: 12

Question 1: A triangle has sides of 5 cm, 8 cm, and 10 cm. It is enlarged with a scale factor of 1.5. What are the lengths of the sides after enlargement?

Answer: ["7.5","12","15"]

Question 2: A rectangle measures 6 cm by 9 cm. It is enlarged so that its area increases by a factor of 4. What is the scale factor of the enlargement?

Answer: 2

Question 3: Construct an enlarged version of a square with side 4 cm, using a scale factor of 2. What is the length of the enlarged square’s side?

Answer: 8

Question 1: A small poster measures 30 cm by 40 cm. It is enlarged to fit a display board such that the new dimensions are 1.5 times larger. What are the new dimensions? Is the enlargement a true scale? Why or why not?

Answer: The new dimensions are 45 cm by 60 cm. Yes, it is a true scale because the new dimensions are proportional to the original, with a scale factor of 1.5.

Question 2: A scale drawing of a garden shows a length of 5 meters. The drawing is made with a scale factor of 1:50. What is the actual length of the garden?

Answer: 250

Question 3: If a shape is enlarged with a scale factor of 2, what will be the area of the new shape if the original area is 12 cm²?

Answer: 48

Question 1: A blueprint shows a room that measures 4 meters by 3 meters. The blueprint is drawn with a scale of 1:100. What are the actual dimensions of the room?

Answer: 400 and 300

Question 2: An engineer enlarges a mechanical part using a scale factor of 5. The original part measures 2 cm. What is the length of the enlarged part?

Answer: 10

Question 1: A photograph is enlarged so that its length becomes twice the original length. If the original photograph is 8 cm long, what is the area of the enlarged photograph if the original has an area of 24 cm², assuming proportional enlargement?

Answer: 96

Question 2: A scale model of a building shows a height of 6 meters with a scale factor of 1:25. If the real building is 75 meters tall, what is the scale factor used in the model? Is the model accurate?

Answer: 1:12.5; No, because the scale factor does not match the actual size ratio.

Question 1: A student enlarges a triangle with a scale factor of 0.5. They think the new triangle is larger because the scale factor is positive. Is this correct? Explain your reasoning.

Answer: No, because a scale factor less than 1 results in a smaller image, not larger.

Question 2: A shape is enlarged with a scale factor of 3. The original length of a side is 10 cm. The student incorrectly calculates the new length as 30 mm. Identify the mistake and correct it.

Answer: They converted cm to mm; correct length is 30 cm.