A double reflection of a preimage across perpendicular lines produce the same result as a:(1 point)
Responses
270-degree rotation.
270-degree rotation.
90-degree rotation.
90-degree rotation.
180-degree rotation.
180-degree rotation.
scaled dilation.
vector translation.
The correct answer is 180-degree rotation.
To determine the answer to this question, let's first understand the concept of double reflection. A reflection is a transformation that "flips" an object across a line, known as the line of reflection. When an object undergoes a reflection, each point on the object is flipped across the line of reflection.
Double reflection involves performing two consecutive reflections, typically across two different lines. In this case, the preimage is being reflected across perpendicular lines.
Now, let's examine the given choices:
1. 270-degree rotation: This transformation involves rotating the object 270 degrees counterclockwise around a fixed point. It does not involve reflections, so it is not the correct answer.
2. 90-degree rotation: Similar to the previous choice, this transformation involves rotating the object 90 degrees counterclockwise around a fixed point. Again, it does not involve reflections, so it is not the correct answer.
3. 180-degree rotation: This transformation involves rotating the object 180 degrees around a fixed point. Similarly, it does not involve reflections, so it is not the correct answer.
4. Scaled dilation: Scaled dilation involves enlarging or reducing the size of an object while maintaining the same shape. It does not involve reflections, so it is not the correct answer.
From the given options, none of them involve reflections. Therefore, none of them are the correct answer.
To answer the question, a double reflection across perpendicular lines produces the same result as a 180-degree rotation. However, since this option is not provided, none of the given choices are correct.