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Which transformation does not always result in an image that is congruent to the original figure?
A dilation (or scaling) is a transformation that does not always result in an image that is congruent to the original figure. While translations, rotations, and reflections always produce congruent figures, dilations change the size of the figure, which means the image may be similar to, but not congruent with, the original figure.
Does an isosceles trapezium have any perpendicular lines?
In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!
Why does a reflection not preserve orientation of a figure on the plane?
Because a reflection reverses the direction of the component of the wave vector of the light hitting the reflecting surface which is orthogonal to the surface. The component parallel to the surface will not change. This means the light going towards a mirror, will go away from the mirror after reflection. But if it went from the left to the right, it will continue to go from the left to the right. Same with up and down. In three dimensions this is the same as changing the handedness of the image.
What happens to the x and y coordinates when rotating a figure counterclockwise?
A rotation is a transformations when a figure is turned around a point called the point of rotation. The image has the same lengths and angle measures, and differs only in position. Rotations that are counterclockwise are rotations of positive angles. All rotations are assumed to be about the origin. R90 deg (x, y) = (-y, x) R180 deg (x, y) = (-x, -y) R270 deg (x, y) = (y, -x) R360 deg (x, y) = (x, y)
The change in position from the shaded figure to the unshaded figure is best described as a?
Missing diagram.
What type of rotation will preserve the orientation of a h-shaped figure in the gird?
Rotation, in the plane of the grid, through 180 degrees.
What transformation always produce a congruent figure?
Reflections, translations, rotations.
What is isometry that does not change orientation?
It's a transformation that's order of the letters like ABCD of a figure don't change when transformed.
What are the ways a figure can be transformed?
A figure can be transformed through translations, rotations, reflections, and dilations.Translations involve moving the figure in a certain direction without rotating or flipping it. Rotations involve turning the figure around a point. Reflections involve flipping the figure over a line. Dilation involves resizing the figure proportionally.
What figure has two lines of symmetry and two rotations of symmetry?
A rectangle is one of them
When a figure is translated its orientation?
k
Which transformation does not always result in an image that is congruent to the original figure?
A dilation (or scaling) is a transformation that does not always result in an image that is congruent to the original figure. While translations, rotations, and reflections always produce congruent figures, dilations change the size of the figure, which means the image may be similar to, but not congruent with, the original figure.
What is an arrangement of points labeling a figure called?
orientation
What is an Arrangement of points for labeling a figure?
This is called the Orientation.
Why reflections translations and rotation are rigid motion s?
Reflections, translations, and rotations are considered rigid motions because they preserve the size and shape of the original figure. These transformations do not distort the object in any way, maintaining the distances between points and angles within the figure. As a result, the object's properties such as perimeter, area, and angles remain unchanged after undergoing these transformations.
What is a displacement in math?
It is moving a figure horizontally and/or vertically but keeping it of the same size and orientation.
What happens when you perform a translation of a figure?
It is moved across the plane. Its size or orientation are not changed.
