Answer:
D
Explanation:
AI-generated answer
To determine the line of reflection that would map ABCD onto itself, we need to find a line that acts as the mirror image of the shape ABCD. In other words, the line should reflect each point in ABCD across itself, resulting in the same shape.
Let's analyze each of the given options:
A. y=1: This is a horizontal line located at y=1. It does not pass through the points of ABCD, so it cannot map the shape onto itself.
B. 2x+y=2: This equation represents a line. However, it does not pass through the points of ABCD, so it also cannot map the shape onto itself.
C. x+y=4: This equation represents a line that passes through the points A(0,4) and C(2,2). However, it does not pass through the other two points of ABCD, so it cannot map the shape onto itself.
D. x+y=1: This equation represents a line that passes through the points B(1,0) and D(3,-2). Importantly, this line also passes through the other two points of ABCD: A(0,1) and C(2,-1). Therefore, this line of reflection, x+y=1, can map ABCD onto itself.
In summary, the correct answer is D. x+y=1. This line of reflection would mirror ABCD onto itself.