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TRANSCRIPT
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