Exploring Properties of Reflections in Geometry

What is a reflection in geometric terms?

• A transformation that enlarges or reduces a figure

• A transformation that flips a figure across a line

• A transformation that moves a figure along a line

• A transformation that rotates a figure around a point

What defines the line of reflection in a geometric reflection?

• The line across which the figure is flipped

• The line along which the figure is enlarged

• The line along which the figure is translated

• The line along which the figure is rotated

When reflecting a point across the y-axis, how do you determine the position of the reflected point?

• Add the same y-coordinate to the original

• Count the units from the y-axis and replicate on the opposite side

• Shift the point upwards by the same distance it is from the y-axis

• Multiply the x-coordinate by -1

What happens to the orientation of a figure after reflection across the y-axis?

• It is flipped, changing the orientation

• It is rotated by 90 degrees

• It becomes inverted

• It remains the same

How do you find the reflected point across the x-axis if the original point is below the axis?

• Move the point to the right by the same distance

• Keep the point at the same location

• Move the point directly above the axis by the same distance

• Move the point further below the axis

What is the result of reflecting a figure that overlaps the x-axis?

• The figure will not be reflected

• The figure will be reflected without overlapping

• The figure becomes smaller

• Parts of the figure will overlap after reflection

What is the slope of the line y=x used for reflection?

• 0

• 1

• -1

• Undefined

How do you reflect a point across the line y=x?

• Rotate the point 90 degrees around the origin

• Move the point along the line

• Count the distance to the line and reflect perpendicularly

• Switch the x and y coordinates of the point

What is the relationship between the distances of a point and its image from the line of reflection?

• The distances are unrelated

• The distances are inversely proportional

• The distances are equal

• The distances are proportional

What should you keep in mind about transformations when you advance to higher studies?

• They are only used in physics

• They are replaced by more advanced topics

• They become less important

• They are fundamental and recur frequently