Series of Transformations.notebook
October 17, 2016
Warm Up!
Determine which of the pairs of figures below are congruent.
1)
2)
3)
~
Congruent figures = have an equal number of sides and all the corresponding sides and angles are congruent. However, they can be slid ( ), turned ( ) or flipped over ( ). ~
Similar have the same shape but NOT the same SIZE!!!!
Series of Transformations.notebook
October 17, 2016
y
Are the following shapes congruent and why?
A B
D C
D' C'
x
A' B'
What type of transformation occurred?
They are congruent because they are the same shape (rectangle) and the same size! It is a reflection over the x axis. Are the following shapes congruent and why?
x
What type of transformation occurred?
They are congruent because they are the same shape (triangle) and the same size! It is a translation that went 4 right and 3 down. Series of Transformations.notebook
October 17, 2016
Are the following shapes congruent
and why?
y
A B
D C
D' C'
A' B'
x
What type of transformation(s) occurred?
They are NOT congruent because they are NOT the
same same size! It's a composition of reflection over x axis and then a reduction.
So if two figures have the same shape and size (are congruent),
then there exists a sequence of translations, reflections, and/or rotations that transforms one into the other.
Why is dilation not on the above list of transformations?
Series of Transformations.notebook
October 17, 2016
1) Describe the sequence of transformations that results in the transformation of Figure A to Figure B. Are these two shapes similar or congruent? 2) Describe the sequence of transformations that results in the transformation of Figure A to Figure B. Are these two shapes similar or congruent? Series of Transformations.notebook
October 17, 2016
3) Describe the sequence of transformations that results in the transformation of Figure A to Figure B. Are these two shapes similar or congruent? 4) Describe the sequence of transformations that results in the transformation of Figure A to Figure B. Are these two shapes similar or congruent? Series of Transformations.notebook
October 17, 2016
5) Describe the sequence of transformations that results in the transformation of Figure A to Figure B. Are these two shapes similar or congruent? 6) Describe the sequence of transformations that results in the transformation of Figure A to Figure B. Are these two shapes similar or congruent? Series of Transformations.notebook
October 17, 2016
7) Describe the sequence of transformations that results in the transformation of Figure A to Figure B. Are these two shapes similar or congruent? 8) Describe the sequence of transformations that results in the transformation of Figure A to Figure B. Are these two shapes similar or congruent?