Question 1: Given a line segment of length 6 cm from a point P, find the length of the segment after enlargement with a scale factor of 3 from point P.

Answer: 18

Question 2: Construct an enlargement of a triangle with vertices at A(2,3), B(4,5), and C(6,3) using a scale factor of 2 from point P(1,1).

Answer: Students will draw on the grid.

Question 3: A rectangle has a width of 5 cm and height of 8 cm. It is enlarged from point O with a scale factor of 4. What are the new dimensions?

Answer: 20 and 32

Question 4: Plot the graph of y = 2x and its enlargement with scale factor 3 from the origin. How does the graph change?

Answer: The graph becomes steeper, with y-values tripled for each x-value.

Question 5: If a circle with radius 3 cm is enlarged from its center with a scale factor of 5, what is the radius of the enlarged circle?

Answer: 15

Question 6: Construct an enlargement of a square with side 4 cm from point Q(2,2) using a scale factor of 3. Show all steps.

Answer: Students will draw on grid.

Question 7: A triangle has sides of lengths 5 cm, 7 cm, and 9 cm. It is enlarged from a point outside the triangle with a scale factor of 2. What are the new lengths of each side?

Answer: 10, 14, and 18

Question 8: A real-world scenario: A park layout features a fountain 4 meters from a central point. The park is to be enlarged with a scale factor of 2.5. How far will the fountain be from the central point after enlargement?

Answer: 10 meters

Question 9: Identify and correct the mistake: A student enlarges a triangle with scale factor 3 but forgets to multiply the side lengths by 3. Instead, they add 3 to each side. Explain the error and give the correct approach.

Answer: Adding 3 is incorrect; each side should be multiplied by the scale factor 3.

Question 10: Challenge question: A polygon is enlarged from point R with scale factor 4. The original shape has a perimeter of 15 cm. What is the perimeter of the enlarged shape?

Answer: 60