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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.
When a transformation of a slide a flip or a turn is performed is the resulting image congruent or similar to the original?
Congruent in all three cases.
What type of transformation are the pre-image and the image congruent figures?
isometry
Is preimage and image are congruent in a translation?
true
Is a preimage and image are always congruent in a reflection?
Yup
One way to recognize a line of symmetry is to look for a line that divides the original image into?
two congruent parts
What is One way to recognize a line of symmetry is to look for a line that divides the original image into?
two congruent parts
One way to recognize a line of symmetry is to look for a line that divides the original image into what?
two congruent parts
Is it true that when a line of symmetry divides image it splits the image into two congruent parts?
True
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.
A mapping for which the original figure and its image are congruent?
Isometry
When a line of symmetry divides an image its spells the image into two congruent parts on either side of the line symmetry?
true
When a line of symmetry divides an image, it splits the image into two congruent parts on either side of the line of symmetry?
true
What sets of transformations would create an image that is not congruent to its original image?
It is an enlargement
When a line of symmetry divides an image does it split the image into two congruent parts on either side of the line of symmetry?
Yes
A line that divides a figure into two congruent halves and are a mirrior image of each other?
line symmetry
What a line of symmetry divides an image it splits image into two congruent?
A line of symmetry is a line that divides an image into two mirror-image halves, creating congruent sections. Each half is a reflection of the other, ensuring that corresponding points on either side of the line are equidistant from it. This concept is commonly found in geometric shapes, patterns, and even in nature, illustrating balance and harmony.
