Question

Please answer the question attached below.

Answer 1

Answer:

Please check the attached figure a for a complete visual.

Step-by-step explanation:

Considering the triangle ΔABC with vertices

• A(-2, 0)
• B(-2, 4)
• C(0, 0)

When a figure is multiplied by a scale factor greater than 1, the figure is enlarged.

As the center of enlargement is (4, 4).

So, Draw a straight line from vertex A to the point (4, 4). Count how many units it needed in two dimensions to reach the center of enlargement (4, 4).

In case of vertex A, it was 6 units right and 4 units up. So, multiply them with 1.5 and locate the resulting position as A' which is the image of A after the scale factor of 1.5 using the center of enlargement as (4, 4).

So, when we multiply '6 units right' with 1.5, it becomes 9 units. So, move 9 units right from the center of enlargement (4, 4).

Similarly, when we multiply '4 units up' with 1.5, it becomes 6 units. So, move 6 units up from the center of enlargement (4, 4).

So, new the position of A' is shown in figure a.

Similarly, the vertex B and C are enlarged and the positions of B' and C' are shown in figure a.

The complete enlargement of triangle ΔABC is done as ΔA'B'C'. Please check the attached figure a for a complete visual.

Keywords: enlargement, scale factor, transformation

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