This is a question our experts keep getting from time to time. Now, we have got the complete detailed explanation and answer for everyone, who is interested!
There is no rotational symmetry in the shape of an isosceles trapezoid. It cannot be rotated in such a way that it can be mapped onto itself, and there is no means to do so.
Which transformation will result in the trapezoid mapping directly onto itself?
Help the student understand that a trapezoid can only be carried onto itself by rotating it a full 360 degrees in either direction (clockwise or counterclockwise). Remind the learner that rotations can be characterized by providing information about the center, the degree, and the direction of rotation (whether it be clockwise or counterclockwise).
Is it conceivable to turn a trapezoid so that it faces itself?
Because it is an isosceles trapezoid, it can reflect onto itself, which is fortunate because, if it were not, it could not reflect onto itself. It should come as no surprise that the line of reflection is identical to the mirror line, which in turn is identical to the axis of symmetry. It is oriented horizontally and passes directly through the geometric shape’s center.
Which transformations will not cause the figure to map onto itself, and which ones will?
Due to the fact that the facts shown above demonstrate that the transformations A, B, and C map the provided figure to itself, the only transformation that does not map the figure to itself is a rotation of 180 degrees about the origin.
How exactly does one map one shape onto another shape?
It is necessary for the line of reflection to pass through the central point of the figure if the figure is to map onto itself. The sides of the figure are traversed by two parallel lines of reflection. The figure can be reflected using two different lines that pass through each vertex. Hence, there are four alternative lines that run through the center and are lines of reflections for each of the possible directions.
The Process of Mapping a Figure onto Itself
32 related questions found
Which of these transformations will cause the shape to be carried over into itself?
A figure is said to have line symmetry if it is possible to map the figure back onto itself by reflecting it in a line. There is a line of reflection that goes through the trapezoid’s points (0,3) and A figure in the plane is said to have rotational symmetry if it is possible to map the figure back onto itself by rotating it by an angle between 0 and 360 degrees about the figure’s center.
How can the figure be rotated so that it maps onto itself?
A figure is mapped onto itself when it is rotated across 360 degrees. After rotating a point 90 degrees, 180 degrees, or 270 degrees about the origin, you can apply coordinate rules to determine the point’s new coordinates.
Which individual Cannot be mapped back onto itself by rotating a smaller number of degrees than 360?
No, in order to carry a trapezoid onto itself, the rotation of the trapezoid must be more than and equal to 360 degrees, beginning with align and ending with align.
After the letter a, which point would map onto itself?
This point would map into itself when reflected in the line y= – x, and the reason for this is that the point (-4,0) is in the line y= – x; consequently, it will map onto itself when reflected because it is in touch with the mirror line, which is the line y= – x. The answer is the point (-4,0).
Which reflection will result in Figure A becoming a part of itself?
If there is a line of reflection that brings the shape back onto itself, then the shape is said to have reflection symmetry. One might refer to this particular line of reflection as a line of symmetry. To put it another way, something is said to have reflection symmetry if it is possible to reflect it over a line while maintaining the appearance that it has not changed.
How many different kinds of reflection symmetries can a trapezoid display?
There are two lines of reflectional symmetry that run through the trapezoid. The trapezoid exhibits rotational symmetry of order 1, which is the lowest possible order.
What kind of mapping will allow a parallelogram to be mapped onto itself?
The student discusses the center of rotation in relation to the parallelogram by referring to the location where the diagonals connect. The student explains that a rotation of 180 degrees or 360 degrees in either the clockwise or counterclockwise direction around this point will bring the parallelogram back around to where it started.
Which transformation will result in the figure mapping onto itself, Quizlet?
When a transformation produces the same pre-image as the original figure, we say that the figure has been mapped onto itself.
To what degree of rotation must a polygon be subjected before it is carried onto itself?
A shape is said to have symmetry if it is impossible to tell the difference between it and its own altered image. A shape is said to have rotation symmetry if there is a rotation that brings the shape onto itself with a degree of rotation that is less than 360 degrees and that begins aligned and ends aligned.
Which point, after being reflected along the line, would end up being the same as itself?
It is necessary for the line of reflection to pass through the central point of the figure if the figure is to map onto itself.
Which of the following claims must be true regarding the image of mnp after it has been reflected along line Y using three different options?
The image will have a similar appearance to that of MNP. will be perpendicular to the line segments linking the respective vertices. will have the same orientation as MNP. will have the same orientation as the image. The line segments that are congruent to one another will be the ones that are used to connect the respective vertices.
Which of the following figures best depicts the image obtained by reflecting the parallelogram LMNP along the line y x?
The x and y coordinates of a point are moved to new locations whenever that point is reflected along the line y = x. Here are the coordinates of the figure C’s vertices, in case you were wondering. As a result, figure C is meant to show the picture of the parallelogram LMNP.
How many distinct positive rotations of fewer than 360 degrees are there that will map a square back onto itself?
Locating the Rotational Angles of an Object
How many different angles of rotation will result in a square being carried onto itself? The square will be carried onto itself in response to any rotation that is 90 degrees, 180 degrees, or 270 degrees in either direction. A square possesses symmetry that may be described as a quarter-turn rotation, hence it is of order 4.
When using the graphic below as a rotational reference, what is the least angle of rotation that may be used so that the rotation image exactly overlaps the original figure?
A figure is said to have rotational symmetry when it can be mapped onto itself via rotation. The angle of rotational symmetry is the least angle of rotation that maps a figure onto itself. It is defined as being an angle that is larger than 0 degrees but less than or equal to 180 degrees.
To what degree of rotation must the hexagon be subjected before it may be superimposed upon itself?
There are six angles that exist between neighboring vertices, and because a hexagon is regular, they are all equal to one another. The sum of these angles is 360 degrees. As a result, the degree measurement for each angle is equal to sixty degrees, or sixty degrees multiplied by six. A hexagon is likewise mapped onto itself after each subsequent rotation of sixty degrees.
Does the standard octagon map onto itself if you rotate it 135 degrees around the center?
The rotational symmetry is present in the regular octagon. The center is located at the point where the diagonals intersect. The octagon can be mapped onto itself by rotating it either 45 degrees, 90 degrees, 135 degrees, or 180 degrees about its center.
Which transformation results in the rectangle ABCD being carried onto itself?
The right response to this question is “rotate through 180 degrees, then reflect over the y-axis, and then reflect over the x-axis.” In order to accomplish the desired transformation, the first step is to invert it along the y-axis, which requires a rotation of ninety degrees.
What kind of transformation results in a hexagon carrying itself onto itself?
There are six lines of symmetry in a regular hexagon. Three of these lines pass through opposite vertices, and the other three pass through the midpoints of opposite sides. The hexagon can be mapped back to itself by reflecting along any one of the six lines of symmetry.