Which transformations map the strip pattern onto itself l?
Expert-Verified Answer
What transformation can be used to map the figure onto itself?
Reflection: Flipping a point, line, or shape over a line. To map onto itself, a regular polygon would have to be reflected over a line of symmetry.
Which transformation maps polygon ABCD to itself?
Therefore, the correct transformations that map polygon ABCD to itself are a 180° clockwise rotation about the origin and a reflection in the x-axis.
Which of the following reflections would map the figure onto itself?
A reflection across a vertical line passing through the middle of the figure would map it onto itself. A reflection across a horizontal line passing through the middle of the figure would also map it onto itself.
What transformations will map each frieze pattern onto itself?
The pattern can be mapped onto itself by a translation, a 180° rotation, a reflection in a horizontal line, a reflection in a vertical line, and a horizontal glide reflection. To help classify a frieze pattern, you can use a process of elimination.
Which two transformations can map figure 1 onto figure 2?
Which two transformations can map figure 1 onto figure 2? Summary: Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid. The two transformations that can map figure 1 onto figure 2 is the reflection across the x-axis, followed by translation 10 units down.
Which transformation map the regular hexagon onto itself?
A regular hexagon has 6 lines of symmetry: 3 lines through opposite vertices and 3 lines through midpoints of opposite sides. A reflection across any of the 6 lines of symmetry maps the hexagon to itself.
Which transformation maps the regular pentagon onto itself?
A reflection across any of the 5 lines of symmetry maps the pentagon to itself. For transformation rotate 144° about the point (0, -2). Therefore, the transformation 144° maps the regular pentagon with a center (0, -2) onto itself.
Which transformation would map the regular hexagon to itself?
Expert-Verified Answer
A regular hexagon has rotational symmetry of order 6 and reflectional symmetry across its 6 lines of symmetry. Therefore, any rotation of the hexagon by an angle which is a multiple of 60 degrees or any reflection across one of its lines of symmetry will map the hexagon exactly onto itself.
What transformation takes the figure back to itself?
A figure has reflection symmetry if there is a reflection that takes the figure to itself. A rigid transformation is a translation, rotation, or reflection. We sometimes also use the term to refer to a sequence of these.
What is the transformation of a quadrilateral?
Vocabulary for Identifying Transformations That Map a Quadrilateral onto Itself. Transformation: A transformation is a function that manipulates the points of a polygon in a coordinate plane. The four main transformations are translation (slide), rotation (spin), reflection (flip), and dilation (growth/shrink).
Is a reflection a transformation that turns a figure about a point?
A reflection is a transformation that turns a figure into its mirror image by flipping it over a line. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the preimage.
What are the 5 frieze patterns?
There are five basic symmetry operations that can be applied to a frieze pattern: Translation (T), Glide reflection (G), Rotation (R), Vertical reflection (V) and Horizontal reflection (R).
Is a frieze pattern a strip pattern?
A frieze, or strip pattern, is a repeating pattern with translation symmetry in one direction. The repeating patterns may have rotational, reflectional, or glide reflectional symmetry. The rigid motions combine to create 7 distinct classifications of frieze patterns.
What are the 4 classification of frieze patterns?
Frieze patterns are linear patterns found in architecture and art, consisting of some combination of mirror symmetry, glide symmetry, rotational symmetry, and/or translational symmetry.
What is two or more transformations on a given figure?
When two or more transformations are combined to form a new transformation, the result is called a composition of transformations, or a sequence of transformations. In a composition, one transformation produces an image upon which the other transformation is then performed.
Is there only one congruence transformation that maps one figure to another figure?
If we can map one figure onto another using rigid transformations, they are congruent. They are still congruent if we need to use more than one transformation to map it. They aren't if we use a transformation that changes the size of the shape.
What are the two transformations that change the shape of the graph?
These transformations are rotations, reflections, and translations. There are two other types of transformation, dilations and shears, that have their own category called non-rigid transformations because these types of transformations can change the size or shape of a preimage in the resulting image.
What transformation maps the regular hexagon with a center 7 3.5 onto itself?
Summary: The transformation that maps the regular hexagon with a center (-7, 3.5) onto itself is that the hexagon rotates 120° clockwise about (-7, 3.5) and reflects across the line x = -7.
Is there only one transformation that will map one circle onto another?
True - Is there always a similarity transformation that will map one circle onto another. Similarity is determined by ratio of radii.
How many times does a hexagon map onto itself?
The exterior angles are 60 degrees, and it will map on to itself six times.
Which angle of rotation would carry a regular octagon onto itself?
Thus, it must be unchanged by a rotation of 360°/8 = 45 °, just as a regular triangle, for instance, is unchanged by a 120° degree rotation. Any integer multiple of this must also carry the octagon onto itself. Thus, a 90° rotation, which is twice this, will also work.
Which of the following transformations will map the trapezoid onto itself?
rotation by 360 about its center. Step-by-step explanation: We know that only rotation transformation maps isosceles trapezoid onto itself when we rotate it by 360° about its center. The order of rotational symmetry is the number of times the figure maps onto itself during a rotation of 360°.
What series of transformation would carry the rectangle onto itself?
The series of transformations that would carry the rectangle onto itself is: O(x+0, y-4), 180° rotation, reflection over the x-axis.
Which carries the figure onto itself which regular polygon could it be?
Expert-Verified Answer
If a certain regular polygon is rotated 270° about its center, which carries the figure onto itself, this regular polygon could be an octagon.
