Q. Which of the following is a name for an isometry that moves or maps every point of the plane the same distance and direction Select all that apply slide rotation Glide translation flip?
Translation, slide, and glide are names for an isometry that moves or maps every point of the plane the same distance and direction.
Q. What are the four types of Isometries?
There are four types: translations, rotations, reflections, and glide reflections (see below under classification of Euclidean plane isometries).
Q. What is an isometry that maps the figure onto itself?
Reflectional symmetry
Q. How do you map a shape onto itself?
In order for the figure to map onto itself, the line of reflection must go through the center point. Two lines of reflection go through the sides of the figure. Two lines of reflection go through the vertices of the figure. Thus, there are four possible lines that go through the center and are lines of reflections.
Q. Which figure can map onto itself with a 90 rotation?
The regular octagon has rotational symmetry. The center is the intersection of the diagonals. Rotations of 45°, 90°, 135°, or 180° about the center all map the octagon onto itself.
Q. When a figure can be mapped onto itself by a rotation of 180 degrees of less?
Transformations Vocabulary
| A | B |
|---|---|
| rotational symmetry | A figure in a plane has _____ if the figure can be mapped onto itself by a rotation of 180 degrees or less. |
| translation | A rigid transformation that slides a figure on a coordinate plane. The movement can be vertical, horizontal, or diagonal. |
Q. How do you map a parallelogram on its own?
A parallelogram has rotational symmetry of order 2. Thus, rotation transformation maps a parallelogram onto itself 2 times during a rotation of about its center. And that is at and about its center. Therefore, a 180° rotation about its center will always map a parallelogram onto itself .
Q. Can you reflect a parallelogram?
Use the definitions you have learned to graph the reflection of parallelogram through the y-axis given parallelogram with the points , , , and . Connect the corners of the points to graph the reflection of parallelogram . …
Q. Is it possible to reflect a rhombus onto itself?
A rhombus is a quadrilateral in which all sides are congruent. Is it possible to reflect or rotate a rhombus onto itself? that will carry the rhombus onto itself.
Q. Which information is sufficient to prove that a rectangle is a square?
If two consecutive sides of a rectangle are congruent, then it’s a square (neither the reverse of the definition nor the converse of a property). If a rhombus contains a right angle, then it’s a square (neither the reverse of the definition nor the converse of a property).
