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What transformation always produce a congruent figure?
Reflections, translations, rotations.
How do you determine the math translation of a figure?
Translations (-6,3)
What are the properties of translations?
Translations are rigid motions that preserve the shape and size of geometric figures, meaning that the original and translated figures are congruent. They maintain the orientation of the figure and do not alter distances between points. In coordinate geometry, a translation is defined by a vector that indicates how far and in which direction to move each point of the figure. Additionally, translations are commutative, meaning that the order of applying multiple translations does not affect the final position.
What are translations in math?
Translation/Slide: to move all points in a figure the same distance and direction.
What are the three types of congruence transformations?
The three types of congruence transformations are translations, rotations, and reflections. Translations slide a figure from one location to another without changing its shape or orientation. Rotations turn a figure around a fixed point, maintaining its size and shape. Reflections flip a figure over a line, creating a mirror image while preserving distances and angles.
What is the movement of a figure in a plane?
Transformations can be Translations--slide Reflections--flip Rotation--turn Dilation--either bigger or smaller
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 type of transformation changes the orientation of a figure?
A transformation that changes the orientation of a figure is called a reflection. In a reflection, the figure is flipped over a line, known as the line of reflection, resulting in a mirror image that has a reversed orientation. Other transformations, such as rotations and translations, do not change the orientation of the figure.
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 are the similarities and differences between rotations reflections and translations?
Rotations, reflections, and translations are all types of rigid transformations that preserve the shape and size of geometric figures. They share the characteristic of maintaining distances between points, ensuring that the original figure and its image are congruent. However, they differ in their methods: rotations turn a figure around a fixed point, reflections flip it over a line, and translations slide it in a specific direction without changing its orientation. These distinctions affect how the figures are repositioned in the plane.
How do transform move?
convection current from the magma in the centre of the earth pushes plates to move.
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.
