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

Answer: {"x":6,"y":8}

Question 2: A triangle with vertices at (2, 3), (4, 1), and (3, 5) is enlarged from the origin with a scale factor of 3. Write down the coordinates of the enlarged triangle's vertices.

Answer: [{"x":6,"y":9},{"x":12,"y":3},{"x":9,"y":15}]

Question 3: Plot the graph of y = 2x on the grid. Use this to help find the image of the point (1, 2) after enlargement with scale factor 4 from the origin.

Answer: {"x":4,"y":8}

Question 4: A rectangle has vertices at (1, 1), (4, 1), (4, 3), and (1, 3). If it is enlarged from the origin with a scale factor of 0.5, what are the new vertices?

Answer: [{"x":0.5,"y":0.5},{"x":2,"y":0.5},{"x":2,"y":1.5},{"x":0.5,"y":1.5}]

Question 5: A circle with center at (2, 2) and radius 3 is enlarged from the origin with scale factor 2. What is the radius of the enlarged circle?

Answer: See full answer key

Question 6: A point at (5, -2) is enlarged from the origin with scale factor 3. What are its new coordinates? Show your working.

Answer: {"x":15,"y":-6}

Question 7: A real-world scenario: A map shows a park at (4, 5). The park is enlarged on a model with a scale factor of 2 from the origin. What are the coordinates of the enlarged park?

Answer: {"x":8,"y":10}

Question 8: Construct an enlargement of a triangle from the origin that maps a point (2, 1) to (6, 3). Find the scale factor and the image of the point (1, 4).

Answer: {"newPoint":{"x":3,"y":12},"scaleFactor":3}

Question 9: Identify and correct the mistake in this enlargement problem: A point at (3, 5) was enlarged with scale factor 4 from the origin, resulting in (12, 20).

Answer: The correct enlarged point should be (12, 20). The calculation is correct; no mistake.

Question 10: A square with vertices at (1, 1), (1, 4), (4, 4), and (4, 1) is enlarged from the origin with a scale factor of 2. Draw the enlarged square on the grid.

Answer: See full answer key

Question 11: Challenge question: A shape with vertices at (2, 2), (4, 2), (4, 6), and (2, 6) is enlarged from the origin with a scale factor of 1.5. What are the coordinates of the enlarged vertices? Provide calculations.

Answer: [{"x":3,"y":3},{"x":6,"y":3},{"x":6,"y":9},{"x":3,"y":9}]