Question

The image of the polygon ABCDE reflected across the x-axis. A(-1,-1),B(0,1),C(4,2),D(6,0),E(3,-3) The vertices of the image are....?

Answer 1

To find the image of the polygon ABCDE reflected across the x-axis, we need to reflect each vertex across the x-axis. When we reflect a point across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same.

Step-by-step explanation:

To find the image of the polygon ABCDE reflected across the x-axis, we need to reflect each vertex across the x-axis. When we reflect a point across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. So, for each vertex, the x-coordinate stays the same, but the y-coordinate becomes its negative value.

The image of point A(-1,-1) will be (-1,1).

The image of point B(0,1) will be (0,-1).

The image of point C(4,2) will be (4,-2).

The image of point D(6,0) will be (6,0).

The image of point E(3,-3) will be (3,3).

Answer 2

A reflection across the x-axis has the rule:

(x,y)→(x,-y).

Then:

• A(-1,-1)→A'(-1,1),
• B(0,1)→B'(0,-1),
• C(4,2)→C'(4,-2),
• D(6,0)→D'(6,0),
• E(3,-3)→E'(3,3).

Answer: the vertices of the image are A'(-1,1), B'(0,-1), C'(4,-2), D'(6,0) and E'(3,3).