Thursday 2/13/2020

• Get out homework • Get out

Transformations guided notes. • Have a pencil.

Agenda

Positives

Week At-A-Glance

Homework Check

Transformations Review

Rigid Transformations Activity

IXL Lessons

P.9 P.10 P.11

P.12 P.13

Translation Notation Practice

• Move the figure 3 units left, 4 units up.

• Move the figure 6 units right, 2 units up.

• Move the figure 2 units left, 3 units down.

X 3,4 4

Xt 6 Yt 2

X 2 y 3

SLIDE

Reflections Practice

• Algebraic rule when reflecting over the x-axis.

• Algebraic rule when reflecting over the y-axis.

X 4 X Y

X y C X y

F LID

RotationsPracticeAlgebraic Rules

• 90 degree Clockwise• Same as:• Rule:

• 180 degree Clockwise• Same as:• Rule:

• 270 degree Clockwise• Same as:• Rule:

2700CCWX y y x

180 CCWX y x y

900CCWx y fy x

1 multiply y by I2 switch

DilationsPracticeAlgebraic Rules

• A (3, 5), B(0, 4), C(-2, -2); k = 2• What is the scale factor?

• Is this an enlargement or a reduction? Why?

• J(0, -4), K(0, 6), L(4, 4), M(4, 2); k=1/4• What is the scale factor?

• Is this an enlargement or a reduction? Why?

2K 1

14

OL 44 1

IF I10

FI E T SE IZ

9 12

I2

3 5 5 3

fsam.essniffe

order series

a.) ___________________ b.) ___________________ c.) ___________________

Rigid Transformations and Congruence: Name: _____________ Rotate, Reflect, Translate

Standard 8.G.1: I can use experimentation to verify the properties of rotations, reflections, and translations. Standard 8.G.2: I understand that two-dimensional figures are congruent if they are transformed by a series of rotations, reflections, and translations. I can describe a sequence that exhibits the congruence between two-dimensional figures. Beginning (0-5) Emerging (6-7) Proficient (8-10) Advanced(11-12)

Beginning ~ I can determine whether a figure has been rotated, reflected or translated; and determine whether two figures are congruent.

Label each type of transformation: Label each pair as congruent or non-congruent: d.) ___________________ e.) ______________ f.) ___________

Emerging ~ I can identify and plot ordered pairs on a coordinate grid; and correctly label an image and its pre-image.

g.) Record the coordinates for the pair of h.) Plot and label the following coordinates on the triangles; and label each as image or pre-image: coordinate plane: P(-5, 3) E(0, 4) N(4, 2) T(2, -3) A(-4, -3) A ( , ) B ( , ) C ( , ) A’ ( , ) B’ ( , ) C’ ( , )

Translation slides

Reflection flip non congruentRotation turns

non congruent congruent

imageIs E

Pineage N

3 I 7 3 I 6

31 I I 5 4 A T

________________________________ ________________________________ ________________________________

_____________________________ _____________________________ _____________________________

_____________________________ _____________________________ _____________________________

Proficient ~ I understand that two-dimensional figures are congruent if they are transformed by a series of rotations, reflections, and translations. I can describe a sequence that exhibits the congruence between two-dimensional figures.

Describe each of the following transformations. Be sure to use math terms to describe the type of movement, direction and distance/degrees: i.) j.) k.)

First label the pre-image and image for each transformation; then choose and circle the rule that best fits each, and then justify your answers. l.) m.) n.) a. (x + 2, y + 3) a. reflect LMNO over x-axis a. rotate ΔGXB 90° clockwise b. (x – 5, y + 3) b. reflect LMNO over y-axis b. reflect ΔGXB over x-axis c. (x – 3, y + 6) c. rotate LMNO 90° clockwise c. rotate ΔGXB 180° d. (x + 3, y – 5) d. rotate LMNO 180° d. translate 6 units right and 6 units down

I chose rule ___ because

______________ ______________ ______________

I chose rule ___ because

______________ ______________ ______________

I chose rule ___ because

______________ ______________ ______________

P I

I

DX42 was rotated1800 Thefig startedinquad I ended inquadIl

M f Pirmeage

mage

________________________________ ________________________________ ________________________________

_____________________________ _____________________________ _____________________________

_____________________________ _____________________________ _____________________________

Proficient ~ I understand that two-dimensional figures are congruent if they are transformed by a series of rotations, reflections, and translations. I can describe a sequence that exhibits the congruence between two-dimensional figures.

Describe each of the following transformations. Be sure to use math terms to describe the type of movement, direction and distance/degrees: i.) j.) k.)

First label the pre-image and image for each transformation; then choose and circle the rule that best fits each, and then justify your answers. l.) m.) n.) a. (x + 2, y + 3) a. reflect LMNO over x-axis a. rotate ΔGXB 90° clockwise b. (x – 5, y + 3) b. reflect LMNO over y-axis b. reflect ΔGXB over x-axis c. (x – 3, y + 6) c. rotate LMNO 90° clockwise c. rotate ΔGXB 180° d. (x + 3, y – 5) d. rotate LMNO 180° d. translate 6 units right and 6 units down

I chose rule ___ because

______________ ______________ ______________

I chose rule ___ because

______________ ______________ ______________

I chose rule ___ because

______________ ______________ ______________

_________________ _________________ _________________ _________________

_________________ _________________ _________________ _________________

Advanced ~ I can maintain congruence in figures involving multiple transformations, and describe the effect a sequence of rules has on a given figure. Describe each transformation that occurred from each pre-image to its final image. Be sure your descriptions are clear and concise, and include mathematical language.

o.) p.)

q.) Use the following information to draw and transform the following. Remember to record and label coordinates and figures as you go:

1. W(2,1) X(3,5) Y(6,5) Z(7,1) 2. (x – 4, y + 2) 3. Rotate 90° counterclockwise about the origin.

I

FigureABCD was reflectedover the y axis thentranslated 2unitsL Zunits down

graphoriginalfig

Translation Rotation 2W W

x't X LY Y lZ 2 L