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Write a rule to describe each transformation.

User Fadi
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Final answer:

Translations, rotations, reflections, and dilations are different types of transformations in mathematics. Translations move each point of a figure the same distance and in the same direction. Rotations turn a figure around a fixed point. Reflections flip a figure over a line. Dilations enlarge or reduce a figure by a scale factor.

Step-by-step explanation:

In mathematics, there are several transformations that can be applied to geometric figures. These transformations include translations, rotations, reflections, and dilations.

Translations:

A translation is a transformation in which each point of a figure is moved the same distance and in the same direction. For example, if we have a triangle and we move it 2 units to the right and 3 units up, we would describe it as a translation by (2, 3).

Rotations:

A rotation is a transformation in which a figure is turned around a fixed point called the center of rotation. The amount of rotation is determined by the angle of rotation. For example, if we rotate a square 90 degrees clockwise around its center, we would describe it as a rotation of 90 degrees.

Reflections:

A reflection is a transformation in which a figure is flipped over a line called the line of reflection. The line of reflection acts as a mirror. For example, if we reflect a triangle over the y-axis, we would describe it as a reflection over the y-axis.

Dilations:

A dilation is a transformation in which a figure is enlarged or reduced by a certain scale factor. The scale factor determines the amount of enlargement or reduction. For example, if we dilate a circle with a scale factor of 2, the resulting circle would have twice the radius of the original circle.

User Jjz
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