Rigid Transformations

A translation is a movement that slides a figure from one position to another without changing its shape or size. It is one of the basic geometric tra

Translations can be shown on a coordinate plane by moving every point of a figure the same distance and in the same direction. Using coordinates helps

A translation moves a figure from one location to another without changing its size or shape. On a coordinate plane, we can use coordinate rules to fi

A translation moves every point of a figure the same distance in the same direction. By comparing the coordinates of a figure and its image, we can de

A reflection is a transformation that flips a figure across a line to create a mirror image. Reflections are common in mirrors, windows, and calm wate

A reflection flips a figure across a line to create a mirror image. On a coordinate plane, figures can be reflected across the x-axis or the y-axis.

Reflections can be used to create symmetrical designs by flipping figures across a line. On a coordinate plane, reflecting a figure across an axis cha

When a figure is reflected on a coordinate plane, its coordinates change according to the axis of reflection. Comparing corresponding points of a figu

Objects such as clock hands and Ferris wheels turn around fixed points. In geometry, this type of movement is called a rotation. A rotation changes th

A 180-degree clockwise rotation turns a figure halfway around a fixed point. Rotations are useful in geometry and can also be seen in spinning objects

A 180° rotation turns a figure halfway around a fixed point. On a coordinate plane, a coordinate rule can be used to find the image of a figure after

A 270° clockwise rotation turns a figure three-quarters of a full turn to the right around a fixed point called the center of rotation. Rotations are

A 270° counterclockwise rotation turns a figure three-fourths of a full turn around a fixed point. A coordinate rule can be used to find the image of

A rotation turns a figure around a fixed point without changing its size or shape. On a coordinate plane, rotation rules help us find the new coordina

A rotation turns a figure around a fixed point without changing its size or shape. On a coordinate plane, rotation rules help us find the coordinates

A rotation turns a figure around a fixed point. By comparing the coordinates of a figure and its image, we can identify the rotation that maps one fig

Imagine turning a game piece and then sliding it across a board. In geometry, these movements are called rotation and translation. Combining them help

A figure can undergo a sequence of transformations, such as a reflection followed by a translation. Each transformation changes the figure’s position

A figure can undergo more than one transformation. When a reflection is followed by a rotation, each transformation must be completed in the given ord

A sequence of reflections can move a figure across different axes. Applying each reflection in order helps us track how the coordinates change. In som

A figure can be rotated more than once. When rotations are performed in sequence, each rotation is applied to the image created by the previous one. C

A translation moves a figure from one position to another without changing its size or shape. Every point moves the same distance and in the same dire

Shapes can be identical even when in different positions or orientations. In math, this idea is called congruence. Understanding congruent figures hel

Congruent figures are figures that have exactly the same size and shape. Even if they are in different positions, they are congruent if their correspo

Congruent figures are figures that have exactly the same size and shape. They may be in different positions or orientations, but their corresponding s

Shapes can move from one place to another without changing their size or shape. One common way is called translation, which means sliding a figure. Th

Shapes can be moved in different ways without changing their size or shape. One important way is rotation, which means turning a figure around a point

Rigid motions are transformations that move a figure without changing its size or shape. Common rigid motions include translations, rotations, and ref