1. Transformation
2. Isometry
3. Translation
4. Glide Reflection
1. A(n)_____ is a change in the position, shape, or size of a figure.
2. A(n) _____ is a transformation in which the preimage and the image are congruent.
3. In a(n)_____, comma all points of a figure move the same distance in the same direction.
4. A(n)______ is a translation followed by a reflection across a line parallel to the direction of the translation.
3 answers
can you explain?
1. A transformation refers to a change in the position, shape, or size of a figure. It can involve any combination of movement, rotation, reflection, or scaling.
2. An isometry is a transformation in which the preimage (original figure) and the image (transformed figure) are congruent. This means that they have the same shape and size. Isometries include translations, reflections, and rotations.
3. In a translation, all points of a figure move the same distance in the same direction. Think of it as sliding the entire figure without changing its orientation or shape. The distance and direction of the translation are specified.
4. A glide reflection is a transformation that involves a translation followed by a reflection. The translation is along a vector, moving all points of the figure in a particular direction and distance. Afterwards, the figure is reflected across a line parallel to the direction of the translation, resulting in a combination of both translation and reflection. This type of transformation can create mirror images of the original figure.
2. An isometry is a transformation in which the preimage (original figure) and the image (transformed figure) are congruent. This means that they have the same shape and size. Isometries include translations, reflections, and rotations.
3. In a translation, all points of a figure move the same distance in the same direction. Think of it as sliding the entire figure without changing its orientation or shape. The distance and direction of the translation are specified.
4. A glide reflection is a transformation that involves a translation followed by a reflection. The translation is along a vector, moving all points of the figure in a particular direction and distance. Afterwards, the figure is reflected across a line parallel to the direction of the translation, resulting in a combination of both translation and reflection. This type of transformation can create mirror images of the original figure.