Answer:
As Given △QRS is rotated about point P to △Q′R′S′ .
As we know after rotation by any angle of pre-image neither the shape nor size of the image changes, the image after rotation is congruent to pre image.
Out of the options given
→The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.
→The corresponding angle measurements in each triangle between the pre-image and the image are preserved.
are true.
The dilated graph drawn from the given question is given in the figure .
<h3>WHAT IS DILATION ?</h3>A dilatation is a transformation that increases an image's size without altering its form or ratios.
It's similar to how when Ant-Man grows or shrinks, every portion of his body shrinks or grows by the same amount, leaving him with the same appearance. In terms of human physiology, the word "dilation" refers to relaxation, opening, or widening. This is typically utilised in buildings where materials can pass through. Due to the fact that dilation is an autonomic process, it cannot be actively managed. It is a technique for regulating or directing how things move through the body, including solids, liquids, and both.
Simply said, smooth muscle. One of the three types of muscles in the body, smooth muscle is frequently seen in internal organs like the stomach, bronchi, and bladder. Blood vessels and muscle sphincters are two other structures that contain smooth muscle. These organs and structures can dilate as a result of smooth muscle relaxation.
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