Question

1. what sequence of transformations will map trapezoid a to its image a? a 180 degree rotation, then translation 1 unit down b 90 degrees clockwise, then a translation of 2 c reflection across the x - axis, then reflection across the y - axis d reflection across the x - axis, then translation 6 units down 2. which of the following describes the sequence of transformations shown from figure a to figure a to figure a? a rotate 90 degrees clockwise around the origin and then translate down. b reflect across the x - axis and then reflect across the y - axis. c reflect across the x - axis and then rotate 90 degrees clockwise around the origin d translate up and then rotate 90 degrees counterclockwise about the origin. 3. which transformation is shown? a translation b reflection over the y - axis c 180° rotation d reflection over the x - axis

Explanation:

Step1: Analyze question 1

Trapezoid A and A' are upside - down and shifted down. A 180 - degree rotation flips the trapezoid upside - down and a 1 - unit down translation moves it down.

Step2: Analyze question 2

From Figure A to A', the figure is rotated 90 degrees clockwise around the origin, and then from A' to A'' it is translated down.

Step3: Analyze question 3

The figure is flipped across the x - axis. Points above the x - axis move to below and vice - versa.

Answer:

1. A. 180 degree Rotation, then translation 1 unit down
2. A. Rotate 90 degrees clockwise around the origin and then translate down.
3. D. Reflection over the x - axis