Note that both the x and y coordinates are multiplied by the SAME value, k. Given ΔDEF with center of dilation the origin (0,0) and scale factor of 2, plot ΔD'E'F'. As shown in the formula above, multiply each x and y coordinate value by the scale factor of 2 to find the new coordinates
The difference between the first equation and the second is that the second is moved one space higher. All of its points will be a unit higher than the other. Because of this change in height, the name of the transformation is a translation
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The calculated distance would be in square units instead of linear units.
Answer: Option C.
<u>Explanation:</u>
The Distance Formula itself is actually derived from the Pythagorean Theorem. This is the formula where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).
The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points.