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What else can I help you with?
Why is a dilation not an isometry?
Because the image is not the same size as the preimage. To do a dilation all you do is make the image smaller or larger than it was before.
What is the smallest of degrees you need to rotate the image for it to look the same?
The smallest degree of rotation needed for an image to look the same is 360 degrees, which is a full rotation. This is because rotating an image by any multiple of 360 degrees will result in the image returning to its original orientation. Therefore, the smallest degree of rotation needed for the image to appear unchanged is a full rotation of 360 degrees.
When a figure is translated on a coordinate grid what conclusion can you draw from the pre image and image?
That the image has moved in the same direction and distance of its outline
Does a reflection change the orientation of a shape?
Well, honey, a reflection doesn't change the orientation of a shape. It simply flips it over a line, like checking yourself out in a mirror. So, if you're looking for a quick fix to change things up, a reflection is your go-to move.
An image that is the same in both sides is called?
Symmetrical
Identify the transformation where the image has the same orientation as the preimage?
A translation
Identify the transformation(s) where the image has the same orientation as the preimage.?
Transformations that preserve the orientation of the image relative to the preimage include translations, rotations, and dilations. These transformations maintain the order of points and the overall direction of the figure. In contrast, reflections and certain types of glide reflections change the orientation, resulting in a mirror image. Therefore, only translations, rotations, and dilations keep the same orientation as the original figure.
Is there a rotation for which the orientation of the image is always the same as that of the preimage?
Yes, there is a rotation for which the orientation of the image remains the same as that of the preimage. Specifically, when the rotation angle is 0 degrees (or a multiple of 360 degrees), the preimage and image are identical, preserving their orientation. Additionally, rotations by 180 degrees will also maintain the orientation in certain symmetrical cases. However, any rotation by angles other than these will typically change the orientation.
How can the orientation of the image compare with the orientation of the preimage?
Well, honey, when we talk about the orientation of an image compared to the preimage, we're looking at whether the image is flipped, turned, or stayed the same. If the image is flipped, we call it a reflection; if it's turned, we call it a rotation. And if it stayed the same, well, that's just boring old identity. So, in a nutshell, the orientation can change through reflection or rotation, or it can stay the same.
What are the three types of dilations in math?
The three types of dilations are an enlarged image (the image is larger than the preimage), a reduced image (the image is smaller than the preimage) and an equal image (the image is the same size as the preimage).
The figure shows the preimage and image of three points that have been reflected across a line and the preimage of quadrilateral RSTU. Is this statement true or falseThe image of RSTU reflected across the same line is DEFG?
False
Why is a dilation not an isometry?
Because the image is not the same size as the preimage. To do a dilation all you do is make the image smaller or larger than it was before.
When a figure is translated on a coordinate grid what conclusion can you draw fromn the preimage and image?
A translation of shape on the coordinated grid moves it in the same distance and in the same direction
How does the orientation of the image compare to the image on the slide?
If the orientation of the letter "e" on the slide is exactly the same as it appears in this response, then the image of the "e" would be an inverted reflection. In lamens terms, the "e" would be upside down inside the microscope.
Where is your image when you look in a plane mirror?
In a plane mirror, your image is located directly behind the mirror at the same distance as you are from the mirror. The image appears to be the same size and orientation as the object but reversed left to right.
What type of image does a flat mirror produce?
A flat mirror produces a virtual image that is upright, the same size as the object, and with the same orientation as the object. The image appears to be located behind the mirror at the same distance as the object is in front of the mirror.
As an object moves closer to a convex lens what happens to the size and orientation of the image?
As an object moves closer to a convex lens, the size of the image increases. The orientation of the image remains the same, which means it is still upright if the object is upright and inverted if the object is inverted.
