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What is the resulting transformation when a figure is reflected across line m then reflected across line n?

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If a figure is reflected across line m and then across line n the transformation would be?

chicken wings


How does a dilation of a figure with a scale factor 0.5 compare to a dilation of the figure worth a scale factor 2?

A dilation with a scale factor of 0.5 reduces the size of the figure to half its original dimensions, resulting in a smaller figure. In contrast, a dilation with a scale factor of 2 enlarges the figure to twice its original dimensions, creating a larger figure. Therefore, the two dilations produce figures that are similar in shape but differ significantly in size, with the scale factor of 2 yielding a figure that is four times the area of the figure dilated by 0.5.


What is a point with respect to which a figure is dilated?

dilation


What property changes when a figure is reflected?

When a figure is reflected, its orientation changes, meaning that the figure appears as a mirror image across the line of reflection. While the shape and size of the figure remain unchanged, the relative positions of points in the figure are reversed. This transformation preserves distances and angles, maintaining congruence with the original figure.


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


How do you solve dilation?

To solve a dilation problem, you first need to identify the center of dilation and the scale factor. The scale factor indicates how much larger or smaller the figure will be compared to the original. For each point on the original figure, you calculate the new coordinates by multiplying the distances from the center of dilation by the scale factor. Finally, plot the new points to create the dilated figure.


Is a scale factor of a dilation always between 0 and 1?

No, a scale factor of a dilation is not always between 0 and 1. A scale factor can be greater than 1, which results in enlargement, or it can be between 0 and 1, leading to a reduction. Additionally, a negative scale factor can invert the figure. Thus, the scale factor can vary widely, affecting the size and orientation of the figure being dilated.


What does a flip in math?

You do a flip in geometrey when you do transformations. Flip is a transformation in which a plane figure is flipped or reflected across a line, creating a mirror image of the original figure.


What is a figure that can be reflected across a line so that the image concedes with the pre image?

A figure that can be reflected across a line so that the image coincides with the pre-image is called a "line of symmetry." For example, a rectangle has two lines of symmetry—one vertical and one horizontal—where reflecting the rectangle across either line results in the same shape overlapping perfectly with the original. Similarly, a circle has infinite lines of symmetry, as it can be reflected across any line that passes through its center.


When a figure is dilated by a whole number?

Its linear dimensions increase by that whole number.


When a figure is reflected which characteristics of the figure is preserved?

Its area.