Given r<span>ectangle DEFG has vertices D(-6, -5) E(-6 -2) F(-2, -2) G(-2, -5).
Translation of rectangle DEFG by 3 units up will result in an image with the same x-coordinate and a y-coordinate obtained by adding 3 to the y-cordinates of the vertices of DEFG.
Thus a translation of 3 units up will result in rectangle D'E'F'G' with vertices D'(-6, -2), E'(-6, 1), F'(-2, 1), G'(-2, -2).
Assuming the rotation of 90° about the origin was done in the clockwise direction, this will result in an image having the verties obtained by interchanging the x-coordinate and the y-coordinate of the vertices of D'E'F'G' and then the sign of the y-coordinate is changed.
Thus, a rotation of 90° about the origin in the clockwise direction will result in the rectangle D"E"F"G" with vertices D"(-2, 6), E"(1, 6), F"(1, 2), G"(-2, 2).
Therefore, if r</span><span>ectangle
DEFG with vertices D(-6, -5) E(-6 -2) F(-2, -2) G(-2, -5) is
first translated 3 units up and then rotated 90° about the origin, the shape of the figure formed after this sequence of transformations is a rectangle with vertices </span><span>D"(-2, 6), E"(1, 6), F"(1, 2), G"(-2, 2).</span>
Their are many different types of atoms in the universe. It can include the proton, neutron, and the electron. Also, the quark is a particle but is not found alot.
