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WARM UP ANNOUNCEMENTS -Pick up your assigned calculator -Take out your HW to stamp Use the triangles to the right to find the coordinates needed to solve the following: Find the distance of EF. Find the midpoint of RQ. Update TOC.

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#2 Translations

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Vocabulary! Pre-image: the original figure prior to a transformation
Translation: a slide of a figure, moving all vertices in the same direction

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Translations Discovery
Before we take the notes, let’s see if you can come up with the rules yourselves! 20 min to work independently on this discovery.

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(2,-3) (-1,1) (2,-1) B’ B (5,-3) (-1,4) (2,1) A’ A C C’ S’ S R’ T’ R T

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Example Problems: Graph the image of the figure using the transformation given.

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Practice Problems

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BRAIN BREAK

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Rules can be represented verbally and symbolically.
Symbolic Notation: For example, if a rule tells me to translate a figure left 3 and up 5, the symbolic notation would be would be (x,y) (x-3, y+5). This means we subtract 3 from x because we move left, and add 5 to y to move up. YOU TRY: Translate each rule into symbolic notation: a. Move right 6 and down 1 b. Move left 4 c. Move up 3, left 2 (x + 6, y – 1) (x – 4, y) (x – 2, y + 3)

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MORE PRACTICE: Write a rule to describe each transformation.
(x + 1, y) (x + 2, y – 1) (x – 1, y + 1) (x + 1, y – 3) (x – 2, y + 1)

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#3 Dilations

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Vocabulary! Dilation: a transformation that changes the size of a figure Scale Factor: tells how large or small to make a figure; represented by “r”

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S’T’ = |r|ST S’T’ = |4|(3) S’T’ = (4)(3) S’T’ = 12 S’T’ = |r|ST 8 = |-2|ST 8 = (2)ST 4 = ST

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L’ = -2(½), 1(½) L’(-1, 0.5) M’ = 4(½), -1(½) M’(2, -0.5)
Example 3: Dilate DLMN: L(-2,1) M(4,-1) N(4,3) by a scale factor of 1/2 L’ = -2(½), 1(½) L’(-1, 0.5) M’ = 4(½), -1(½) M’(2, -0.5) N’ = 4(½), 3(½) N’(2, 1.5) N N’ L L’ M’ M

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BRAIN BREAK

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Homework #2 Translations (all 6) #3 Dilations (choose 6)

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Exit Ticket Use the triangles to the right to find the coordinates needed to solve the following: Translate DIJK using the rule (x+1, y+4). Dilate DLMN using a scale factor of Write the new coordinates. Graph is bonus. Write the new coordinates. Graph is bonus.

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