Compound Transformations

Compound Transformation 1

Compound transformations are two (or more) transformations that happen to the same shape. There are t total of 3 transformations, and after each, you will describe the moves you took to transform A onto B.[br][br][br]Show that A is congruent to B by transforming A to B in a combination of transformations.

#1

How did you map Figure A onto Figure B?

reflection over the x-axis, then translation by <2, -1> reflection over the x-axis, then translation by <1, 2> reflection over the x-axis, then translation by <-1, 2> reflection over the x-axis, then translation by <2, 1>

Compound Transformation 2

Show that A is congruent to B by transforming A to B in a combination of transformations.

#2

How did you map Figure A onto Figure B?

reflection over the y-axis, then translation by <5, 1> reflection over the y-axis, then translation by <-1, -5> reflection over the y-axis, then translation by <-5, -1> reflection over the y-axis, then translation by <1, 5>

Compound Transformaton #3

Show that A is congruent to B by transforming A to B in a combination of transformations.

#3

Which one of these will NOT result in a mapping of figure A onto figure B?

a reflection over the y-axis, then the x-axis, and then a translation by <-1, 1> a reflection over the x-axis, then the y-axis, and then a translation by <1, -1> a reflection over the x-axis, then the y-axis, and then a translation by <-1, 1> a reflection over the y-axis, then the x-axis, and then a translation by <1, -1> a [math]180^o[/math]rotation about the point ([math]\frac{1}{2},\frac{1}{2}[/math]) a [math]180^o[/math]rotation about the origin

Compound Transformations

Compound Transformation 1

#1

Compound Transformation 2

#2

Compound Transformaton #3

#3

Information: Compound Transformations