Rotations, reflections, and translations is a grade 10 math skill aligned to Common Core standard HSG.CO.A.4. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 14 rotations, reflections, and translations problems our math games drill.
A rigid transformation turns a figure around a fixed point by a specific angle in a specific direction. All points remain equidistant from that fixed point, keeping the image congruent to the preimage. Which transformation is this?
A rotation is a rigid transformation that turns a figure around a fixed point, called a center of rotation, by a specific angle in a specific direction. All points remain equidistant from the center of rotation, keeping the image congruent to the preimage.
A rigid transformation moves every point of a figure the exact same distance in the same direction. Since all points in the image remain equidistant from the points in the preimage, the figure remains congruent. Which transformation is this?
A translation is a rigid transformation that moves every point of a figure the exact same distance in the same direction. Since all points in the image remain equidistant from the points in the preimage, the figure remains congruent.
Which transformation takes a line segment over a perpendicular bisector so that the segment maps directly onto itself?
A reflection is a rigid transformation that maps the points from a preimage, over a line of reflection, to the points of an image that are equidistant to the line. In this example, that line is the perpendicular bisector of a line segment from a point to its image, so the segment maps onto itself.
Which transformation turns a figure around a fixed point so that all points remain equidistant from that point?
A rotation is a rigid transformation that turns a figure around a fixed point, called a center of rotation, by a specific angle in a specific direction. All points remain equidistant from the center of rotation, keeping the image congruent to the preimage. In this example, that angle is
Which transformation moves every point of a figure exactly cm in the same direction?
A translation is a rigid transformation that moves every point of a figure the exact same distance in the same direction. Since all points in the image remain equidistant from the points in the preimage, the figure remains congruent. In this example, that distance is cm.
Which transformation maps each point of a line segment over a perpendicular bisector so that they map onto the same line segment, keeping the image the same?
A reflection is a rigid transformation that maps the points from a preimage, over a line of reflection, to the points of an image that are equidistant to the line. In this example, that line is the perpendicular bisector of a line segment from a point to its image, so the points map onto the same line segment, keeping the image the same.
Which transformation creates an image that is congruent to its preimage, but is located at a different angle around a center point?
A rotation is a rigid transformation that turns a figure around a fixed point, called a center of rotation, by a specific angle in a specific direction. All points remain equidistant from the center of rotation, keeping the image congruent to the preimage. In this example, the image is congruent to the preimage and is located at a different angle around that center point.
Which transformation never keeps a point in the same place?
A translation is a rigid transformation that moves every point of a figure the exact same distance in the same direction. Since all points in the image remain equidistant from the points in the preimage, the figure remains congruent. In this example, a point is never kept in the same place.
The rest of the bank lives inside live head-to-head matches — the placement test finds the right starting difficulty.
The free placement test finds your level, then every match serves rotations, reflections, and translations questions at exactly the right difficulty.
