Question 1: Calculate the new coordinates of the point (4, 3) when enlarged from the origin with a scale factor of 2.

Answer: 8, 6

Question 2: A triangle has vertices at (1, 2), (3, 4), and (2, 5). What are the coordinates after enlargement from the origin with scale factor 3?

Answer: 3, 6; 9, 12; 6, 15

Question 3: Enlarge the point (-2, 5) from the origin with a scale factor of 4. What are the new coordinates?

Answer: -8, 20

Question 4: What is the image of the point (0, 7) after enlarging from the origin with a scale factor of 0.5?

Answer: 0, 3.5

Question 1: A square has vertices at (2, 2), (4, 2), (4, 4), and (2, 4). Enlarge it from the origin with a scale factor of 3. What are the new coordinates of the vertices?

Answer: 6, 6; 12, 6; 12, 12; 6, 12

Question 2: A triangle with vertices at (1, 1), (2, 3), and (3, 2) is enlarged from the origin with scale factor 4. Write down the new coordinates.

Answer: 4, 4; 8, 12; 12, 8

Question 3: Enlarge the point (-1, -2) from the origin with a scale factor of 5. What are the new coordinates?

Answer: -5, -10

Question 4: A rectangle has vertices at (0, 0), (3, 0), (3, 2), and (0, 2). Enlarge it from the origin by a scale factor of 2. What are the new vertices?

Answer: 0, 0; 6, 0; 6, 4; 0, 4

Question 5: A pentagon has vertices at (1, 1), (2, 4), (3, 2), (4, 5), and (5, 3). What are the coordinates after enlargement from the origin with scale factor 1.5?

Answer: 1.5, 1.5; 3, 6; 4.5, 3; 6, 7.5; 7.5, 4.5

Question 1: A map shows a park with a playground at (2, 3). If the map is enlarged from the origin with a scale factor of 2 to create a larger plan, what are the coordinates of the playground in the enlarged plan?

Answer: 4, 6

Question 2: A satellite image shows a lake at (5, 2). The image is enlarged from the origin by a factor of 3 to help in planning a water conservation project. What are the new coordinates of the lake?

Answer: 15, 6

Question 3: A city planning map indicates a monument at (7, 4). To plan for an expansion, the map is scaled up by a factor of 1.5 from the origin. Find the new location of the monument.

Answer: 10.5, 6

Question 1: A triangle with vertices at (2, 1), (4, 5), and (1, 4) is enlarged from the origin with a scale factor of 0.25. What are the new coordinates? Explain your working.

Answer: 0.5, 0.25; 1, 1.25; 0.25, 1

Question 2: A complex figure composed of multiple points is scaled down by a factor of 0.1 from the origin. If a point in the figure is at (50, 120), what are its new coordinates? Justify your answer.

Answer: 5, 12

Question 1: A student enlarges the point (3, 4) from the origin with a scale factor of 2 but forgets to multiply the y-coordinate, giving (6, 4). Is this correct? Explain and correct if necessary.

Answer: Incorrect. The correct point should be (6, 8).

Question 2: A student enlarges a figure with vertices at (1, 2) and (3, 4) from the origin with scale factor 3, but in one vertex, they write the new point as (3, 12) instead of (3, 12). Identify the mistake and correct it.

Answer: The mistake is in the x-coordinate calculation; it should be 3 × 3 = 9, so the correct point is (9, 12).