Question

enlargement or reduction?
options:
○ enlargement
○ reduction
what is the scale factor?
(grid with triangles abc and abc)

Explanation:

Step1: Compare the sizes of the two figures

The original figure (with points A, B, C) and the transformed figure (with points A', B', C'). By visually inspecting the grid, the transformed figure (A'B'C') is larger than the original figure (ABC). So, it is an enlargement.

Step2: Determine the scale factor

To find the scale factor, we can compare the lengths of corresponding sides. Let's take the horizontal side AB and A'B'. Count the grid units: AB is 2 units (from x - coordinate of A to B), A'B' is 4 units (from x - coordinate of A' to B'). The scale factor \( k=\frac{\text{Length of }A'B'}{\text{Length of }AB}=\frac{4}{2} = 2\). Since the scale factor is greater than 1, it's an enlargement.

Answer:

Enlargement
The scale factor is 2.