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What does congruence transformations mean?
These are transformations that do not change the shape or size, only its location (translation) or orientation (rotation).
Change in position shape or size of a figure?
transformation
What are transformations that result is an image that is the same shape and size as the original?
They are translation, reflection and rotation. An enlargement changes the size of the image.
What is a congruent shape?
Congruent figure(s) (shapes) are two figures that have the same size AND shape.
Is this statement true of falseA transformation changes the location, size, or shape of a figure?
true
How transformations are different?
Transformations are different by their size but same shape the only thing that change is their coordinates and size.
What does congruence transformations mean?
These are transformations that do not change the shape or size, only its location (translation) or orientation (rotation).
Does dilation change the shape?
Geometric dilation (size change, typically expansion) does not change the shape of a figure, or its center location, only the size.
Change in position shape or size of a figure?
transformation
Do transformations preserve shape and size always?
Sometimes.
Define translation in math?
change of position, shape, or size of figure
What is a change in the position shape or size of a geometric figure called?
a transformation
Which transformation does not produce a congruent image?
A transformation that does not produce a congruent image is a dilation. While dilations change the size of a figure, they maintain the shape, meaning the resulting image is similar but not congruent to the original. In contrast, transformations such as translations, rotations, and reflections preserve both size and shape, resulting in congruent images.
How do translations reflections and rotations affect the size and shape of an image?
None of these transformations affect the size nor shape of the image.
What types of transformations will create a similar figure?
There is just the one and it is an enlargement or a reduction in size.
What two transformations can be used to show two figures are congruent?
Two transformations that can be used to show that two figures are congruent are rotation and reflection. A rotation involves turning a figure around a fixed point, while a reflection flips it over a line, creating a mirror image. If one figure can be transformed into another through a combination of these transformations without altering its size or shape, the two figures are congruent. Additionally, translation (sliding the figure without rotation or reflection) can also be used alongside these transformations.
Why are transformations called rigid transformations?
Transformations are called rigid because they do not change the size or shape of the object being transformed. In rigid transformations, distances between points remain the same before and after transformation, preserving the object's overall structure. This property is important in geometry and other fields where accurately transferring or repositioning objects is required.
