Dilation multiplies the distance from a point to the center of dilation by the dilation factor. It does this for every point.
The center of dilation itself has zero distance from the center of dilation. Multiplying that by the dilation factor still gives zero, so the point that is the center of dilation remains unchanged.
<em>Reflection</em>
Reflection mirrors a point across some line. Each point ends up the same distance on the other side of the line that it was originally from the line.
The segment joining a point with its reflection is perpendicular to the line, so the line of reflection is the perpendicular bisector of the segment joining any point with its image.
<em>Rotation</em>
The angle defined by a point, the center of rotation, and the point's image is the angle of rotation. It is the same for every point.
The center of rotation doesn't go anywhere; it is "invariant".
<em>Translation</em>
Moving an image without changing its size or orientation is translation. Every point moves the same distance in the same direction, so any lines in the original figure have the same length and orientation in the translated figure: they are parallel.
Steps to solving equations: Simplify/combine the like terms Isolate the variable (Get the variable on one side Solve for the variable
-2y - 7 + 5y = 13 - 2y Simplify/Combine terms 3y -7 = 13 - 2y Isolate variable by adding 2y to both sides 5y - 7 = 13 Add 7 to both sides to get y alone on one side 5y = 20 Divide by 5 on both sides to solve for y y = 4 You can check your answer by replacing y with 4 in the original equation.
to find the mean, we must add al the numbers and divide it by n
that is,
164,175,178,166,167,145,176,150,174,162,180,156,173,158,182,184,160,172,186,168,195,169,171,187,170 we have to add al these numbers and divide it by 25
