Question 1: A rectangle measures 4 cm by 6 cm. It is enlarged from the origin with a scale factor of 3. What are the new dimensions?

Answer: 12 cm by 18 cm

Question 2: A triangular window with vertices at (2, 3), (4, 5), and (3, 7) is enlarged with a scale factor of 2 from the origin. Find the coordinates of the new vertices.

Answer: (4, 6), (8, 10), (6, 14)

Question 3: Construct an original square with side length 3 cm. Enlarge it from the origin with a scale factor of 4. What is the length of the enlarged square's side?

Answer: 12 cm

Question 4: A building's floor plan shows a corridor of length 5 m. If the plan is enlarged by a scale factor of 2 from the origin, what is the actual length of the corridor?

Answer: 10 m

Question 1: A designer enlarges a blueprint of a house plan from the origin with a scale factor of 3. The original length of a wall on the blueprint is 4 cm. The actual length of the wall is 12 meters. Verify if the enlargement scale factor was correctly applied.

Answer: Yes, because 4 cm × 3 = 12 cm, which corresponds to 12 meters in real life (assuming 1 cm = 1 m).

Question 2: A triangle with vertices at (1, 2), (3, 4), and (2, 5) is enlarged from the origin by a scale factor of 5. What are the new coordinates of the vertices? Explain the steps.

Answer: Vertices become (5, 10), (15, 20), (10, 25). Each coordinate multiplied by 5.

Question 3: A design involves enlarging a circular feature with a radius of 2 cm to fit a different scale. If the enlarge scale factor is 5, what is the new radius?

Answer: 10 cm

Question 4: A model of a building has a side length of 15 cm and is enlarged from the origin with a scale factor of 4 to create the full-size building. What is the full-size length of this side?

Answer: 60 cm

Question 5: Explain how the concept of enlargement from the origin applies when designing a window frame that needs to be scaled up from a small prototype.

Answer: Designers multiply prototype dimensions by the scale factor from the origin to ensure proportional enlargement.

Question 1: A complex shape is scaled up from the origin with a scale factor of 7. A side of the shape measures 8 units before enlargement. What is the length after enlargement?

Answer: 56 units

Question 2: In an architectural model, a hallway is scaled from 1:50 to 1:10. If the original model length of the hallway is 20 cm, what is the real length? Show your working.

Answer: Original length in real life = 20 cm × (50/10) = 100 cm = 1 m

Question 1: A pentagon is enlarged with a scale factor of 2 from the origin. Its original side length is 5 cm. What is the enlarged side length?

Answer: 10 cm

Question 2: Construct a rectangle with original dimensions 3 cm by 7 cm. Enlarge it from the origin with a scale factor of 3. What are the dimensions of the enlarged rectangle?

Answer: 9 cm by 21 cm

Question 1: A student enlarges a shape from the origin using a scale factor of 4 but forgets to multiply the original coordinates by 4, instead adding 4 to each coordinate. Identify the mistake and correct it.

Answer: Incorrect method: added 4, correct method: multiply each original coordinate by 4.