Question

Determine the congruence transformation used on quadrilateral CBAD
that resulted in quadrilateral HGFE
.

(1 point)
Responses

CBAD
 was reflected across the y-axis, then shifted 2 units down.
upper C upper B upper A upper D  was reflected across the y -axis, then shifted 2 units down.

CBAD
 was rotated 180°
 (counterclockwise).
upper C upper B upper A upper D  was rotated 180 degrees  (counterclockwise).

CBAD
 was rotated 270°
 (counterclockwise).
upper C upper B upper A upper D  was rotated  270 degrees  (counterclockwise).

CBAD
 was rotated 90°
 (counterclockwise).
upper C upper B upper A upper D  was rotated  90 degrees  (counterclockwise).
Remaining

Answer 1

To determine the congruence transformation that maps quadrilateral CBAD to quadrilateral HGFE, we would typically analyze the coordinates of the vertices of both quadrilaterals. However, since we don't have specific coordinates or a diagram to refer to, I will guide you on how to analyze this transformation.

1. **Reflection Across the Y-axis**: If the quadrilateral CBAD is reflected across the y-axis, each point (x, y) would become (-x, y). Then, if you translate the quadrilateral down by 2 units, each point would change from (x, y) to (x, y - 2).

2. **Rotation 180°**: Rotating a shape 180° counterclockwise would invert the coordinates to (-x, -y).

3. **Rotation 270°**: This is equivalent to a rotation of 90° clockwise and would transform the coordinates from (x, y) to (y, -x).

4. **Rotation 90°**: This would transform the coordinates from (x, y) to (-y, x).

To select the correct transformation, you would need to:

- Identify the coordinates of both quadrilaterals.
- Apply each transformation option to see which one results in the coordinates of the quadrilateral HGFE.

If you're able to provide the coordinates or a visual representation of quadrilaterals CBAD and HGFE, we could analyze the specific transformation more effectively.