Question

If the scale factor is 1/2 and a is coordinated on (-4,-1), what would be a prime?

Answer 1

To find 'a prime' with a scale factor of 1/2, each component of the coordinate (-4,-1) is multiplied by 1/2, resulting in the scaled coordinate (-2, -1/2).

Step-by-step explanation:

The student is asking how to find a scaled coordinate when given the original coordinate of (-4,-1) and a scale factor of 1/2. To obtain the scaled coordinate, also known as 'a prime,' each component of the original coordinate is multiplied by the scale factor.

Here's the calculation for 'a prime':

• The x-coordinate is -4. Multiplying by 1/2 gives -4 * 1/2 = -2.
• The y-coordinate is -1. Multiplying by 1/2 gives -1 * 1/2 = -0.5 or -1/2.

Therefore, the scaled coordinate 'a prime' is (-2, -1/2).