If you apply the geometric description of reflections across parallel lines, what transformation can you predict will be part of a composition transformation?(1 point)
Responses
a reflection
a reflection
a rotation
a rotation
a dilation
a dilation
a translation
a translation
Which transformation would result in the same image as a composition transformation of reflections across intersecting lines?(1 point)
Responses
a rotation
a rotation
a dilation
a dilation
a reflection
a reflection
a translation
a translation
Which transformation would result in the same image as a composition transformation of reflections across the x-axis and then the y-axis?(1 point)
Responses
a reflection
a reflection
a dilation
a dilation
a 180-degree rotation
a 180-degree rotation
a 90-degree rotation
a 180-degree rotation
Which quadrant will ΔLOW be in when it is reflected across the y-axis and then reflected across the x-axis?
(1 point)
Responses
Quadrant II
Quadrant II
Quadrant III
Quadrant III
Quadrant I
Quadrant I
Quadrant IV
ΔLOW→ΔL"O"W" looks like a translation. What two moves could replace the one translation?
(1 point)
Responses
a reflection across intersecting lines
a reflection across intersecting lines
a reflection across perpendicular lines
a reflection across perpendicular lines
a reflection across parallel lines
a reflection across parallel lines
a counterclockwise rotation of 180 degrees
To determine the transformation that will be part of a composition transformation using the geometric description of reflections across parallel lines, you need to understand a few key concepts.
First, a reflection is a transformation that flips an object over a line, known as the line of reflection. It preserves the shape of the object but changes its orientation.
In the context of reflections across parallel lines, two parallel lines create a reflecting pair. When a figure is reflected across one of these lines, it will also be reflected across the other parallel line.
Now, let's consider the composition transformation, which is a combination of two or more transformations. In this case, we are interested in the composition transformation resulting from using the geometric description of reflections across parallel lines.
When you reflect a figure across one parallel line, it will undergo a reflection transformation. However, if you then reflect the reflected figure across the other parallel line, another reflection transformation will occur. Therefore, the transformation that can be predicted to be part of a composition transformation using the geometric description of reflections across parallel lines is a reflection.
So, the correct response is "a reflection."