Question 1: Calculate the length of a line segment after enlargement from a point with a scale factor of 3, if the original segment measures 5 cm.

Answer: 15

Question 2: Construct an enlargement of a triangle from a specified point with a scale factor of 2. The triangle has vertices at (2,3), (5,3), and (3,5).

Answer: Student draws enlarged triangle on grid

Question 3: If a square with side length 4 cm is enlarged from a point with scale factor 1.5, what is the length of the enlarged square's side?

Answer: 6

Question 4: A circle has a radius of 6 cm. It is enlarged from a point with a scale factor of 4. What is the radius of the enlarged circle?

Answer: 24

Question 5: Plot the graph of y=2x on the grid. Use this to help construct an enlargement of a triangle with vertices at (1,2), (3,4), and (2,1) from the origin with scale factor 3.

Answer: Vertices at (3,6), (9,12), (6,3)

Question 6: A rectangle has vertices at (2,2), (6,2), (6,4), and (2,4). If enlarged from a point at (2,2) with scale factor 2, what are the new coordinates of the vertices?

Answer: Vertices at (2,2), (10,2), (10,4), (2,4)

Question 7: A pentagon is enlarged from a point outside the shape with a scale factor of 1.5. Explain why some vertices move closer to the point while others move farther away.

Answer: Vertices farther from the point move farther away; closer vertices move less; enlargement scales all points proportionally from the point of enlargement.

Question 8: A real-world scenario: A sculpture is enlarged from a small model at a specific point in the studio. The original model measures 30 cm in height, and the scale factor is 4. How tall is the enlarged sculpture?

Answer: 120

Question 9: Identify and correct the mistake in this enlargement process: A student enlarges a figure from a point with scale factor 0.5 and reports all lengths have halved, but the figure looks distorted.

Answer: Incorrectly assumed all points moved proportionally; the scale factor applies to distances from the point, but the figure's shape should remain similar if scaled correctly.

Question 10: Challenge: Construct an enlargement of a parallelogram with vertices at (1,1), (4,1), (5,3), and (2,3) from the point (2,2) with a scale factor of 3. Describe the process.

Answer: Draw lines from the point (2,2) to each vertex, measure the distance, multiply by 3, and mark the new points, then connect to form the enlarged parallelogram.