Exercises
Explore the fundamentals of geometric transformations with this introductory quiz. Test your understanding of translations, rotations, reflections, dilations, and glide reflections, as well as compositions of transformations. Identify which transformations preserve distance, shape, congruence, and other key geometric properties. You will also examine the effects of reflecting figures over intersecting or parallel lines and learn what information is needed to describe a rotation. Ideal for students building a foundation in coordinate geometry and transformational reasoning.
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A translation moves a figure in a straight line, maintaining its orientation and size.
A reflection flips a figure over a line, creating a mirror image.
To perform a rotation, you need to know the angle of rotation and the center point around which the rotation occurs.
Dilation changes the size of a figure while preserving its shape.
Two reflections over intersecting lines result in a rotation around the point of intersection.
An isometry keeps the distance between all points unchanged, making translation, rotation, and reflection examples of isometric transformations.
A glide reflection involves translating a shape and then reflecting it across a line parallel to the direction of translation.
Congruent transformations include motions such as translation, rotation, and reflection, all of which preserve a shape's size and ratio.
Reflecting a figure over two parallel lines results in a translation of twice the distance between the lines.
Rigid transformations also known as isometries, maintain both the shape and size of a figure.
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