Final answer:
To find the new vertices after scalar multiplication by 1/2, multiply both x and y values of each vertex by 1/2. The original vertices (2, 3), (6, 4), and (0, 8) become (1, 1.5), (3, 2), and (0, 4) respectively.
Step-by-step explanation:
The question requires us to find the new vertices of a figure after each vertex has been multiplied by the scalar value of 1/2. This operation is a form of scalar multiplication where each component of the vertex (x, y) is multiplied by the scalar value. To find the new vertices, simply multiply both the x and y values of each vertex by 1/2.
- Multiply the x-value of the vertex (2, 3) by 1/2: 2 * 1/2 = 1.
- Multiply the y-value of the vertex (2, 3) by 1/2: 3 * 1/2 = 1.5.
- The new vertex is (1, 1.5).
- Repeat this process for the other vertices: (6, 4) becomes (3, 2) and (0, 8) becomes (0, 4).
The new vertices after applying the scalar multiplication are (1, 1.5), (3, 2), and (0, 4).