Rigid Transformation Sequences

Front

What symbol is used to show that two figures are congruent?

Back

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Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What does it mean for two figures to be congruent?

Back

They have the same size, shape, and angles.

Front

What is a translation in geometry?

Back

A transformation that moves every point of a figure the same distance in the same direction.

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point at a certain angle.

Front

Which transformations produce congruent images?

Back

All three: rotations, translations, and reflections.

Front

What is the effect of reflecting a figure across the x-axis?

Back

The y-coordinates of the points of the figure change sign.

Front

What is the effect of rotating a figure 90 degrees clockwise around the origin?

Back

The coordinates (x, y) become (y, -x).

Front

What is the effect of translating a figure 2 units to the right?

Back

The x-coordinates of the points of the figure increase by 2.