Question

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Question 4(Multiple Choice Worth 5 points)
(05.07A MC)

Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown below:


Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?

Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 1 unit
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 1 unit
Reflection over the x-axis followed by a translation to the left by 1 unit
Reflection over the y-axis followed by a translation to the right by 1 unit

Answer 1

not 1 unit 2 units

Explanation:

Answer 2

Reflection over the y-axis followed by a translation to the right by 1 unit.

Explanation:

You can see A'B'C'D' is a mirror image, so it cannot have been achieved via rotation. Mirror image = reflection, and the y axis is the 'mirror'.

However, with just reflection, Point A would be at (-2,3). and you can see it is actually moved one to the right, towards (-1,3). That is the translation to the right by 1 unit.