What is the justification for each step in the solution of the equation 3(2x + 7) - 4 = 53 - 3x? !

Question 10.). Answer > NO, Once you find a segment of the pre-image whose length is not equal to the length of the corresponding segment of the image, You can stop checking lengths. You only need to find one pair whose lengths are not equal, in order to confirm that the transformation is not a rigid motion.

Question 11.). Answer > The perimeters are equal. each side of the pre-image polygons is transformed to a side of the image polygon with the same length. The sum of the side lengths of the pre-image is equal to the sum of the side lengths of the image.

Question 12.). In both cases, The notation shows how an input is changed by transformation, or function. In coordinate notation, The input is a point of the coordinate plane, In algebraic function notation, The input is a real number.

Hope that helps : )