Download Math 2: Guided Notes Transformations Name: Vocabulary: Date

Math 2: Guided Notes Transformations
Vocabulary:
Name:________________________
Date:_____________ Period:_______
 Transformation Preimage Image Isometry-
Translations:

Change in Size?
Draw triangle DEF
Change in Shape?
Change in Position?
Where did it go?
Write the translation rules:

3 to the right and 5 up

3 left and 5 down
Reflection: A _______________ across line r called the ___________________________________ where:
If A is on r, then A=A’
If B is not on r, then r bisects BB’
This ______ an ISOMETRY
Plot Triangle H(2, 4), I (-3, 1), J(4, -2) on ALL 3 graphs



GRAPH 1: Plot H’I’J’ reflected over the x-axis RULE: _______________________________
GRAPH 2: Plot H’I’J’ reflected over the y-axis RULE: _______________________________
GRAPH 3: Plot H’I’J’ reflected over the line y = x
RULE: _________________________
Draw the lines y = 3 and x = -2
Draw R(2, 2) S(-1, 3) T(0, 4) Reflect over y=1
Rotations
 X=
 Z=
• This __________ an ISOMETRY
 When you rotate an object (point), it will stay the _______________ distance from the
center of rotation.
 180˚ rotation: ____________________________________________________
 Example:
 90˚ clockwise: ____________________________________________________
 Example:
 90˚ counterclockwise: _____________________________________________
 Example:
Rotate 90◦ Clockwise
Rotate the figure 180◦
Regular Polygon Rotations
Regular means all sides are congruent and all angles are congruent
Find the degree measure of each angle around the center:
Example Pentagon: 360 ÷ ______ = ________
360 ÷ (___________________)
What are other angles? ____________________
List the degrees of rotation that the shape can rotate onto itself.
Draw the lines of symmetry that the shape can reflect onto itself.
DAY 2: Compositions of Transformations
 A Composition of Transformations is the process of performing ____________than one
transformation on a single pre-image.
 Some compositions you may run into:



 When you reflect over a set of two intersecting lines, the process is a _______________
 But if we look at our pre-image and our final image …. It’s just a ____________________
 Sketch the pictures:

Try to reflect over two _______________ lines………..It’s a ___________________________!
 Sketch the pictures:
Example: Plot triangle RST; R(2, 2) S(-1, 3) T(0, 4)
Translation Rule:
Perform Translation on RST
Perform reflection over y-axis on R’S’T’
What are the coordinates of the final image?
R’’__________________
S’’ __________________
T’’ __________________
GLIDE REFLECTION:
_____________ (translation) followed by a ______________________This is also an _____________
Example:
Example:
Translation:
Translation:
Reflection:
Reflection:
Example:
M(
) N(
)
Example: A (
) B(
)