Warm-up Test Review.

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Presentation transcript:

Warm-up Test Review

Unit 7 Transformations

Day 1 - TRANSFORMATIONS What does it mean to have a transformation of something? Name the types of transformations: The original figure is called the _____________ and the resulting  figure is called the _________________.

Types of Transformations: Translations: Reflections: Rotation: Dilation:

Types of Transformations: pre-image

Types of Transformations: image pre-image Translation

Types of Transformations: Rotation pre-image image

Types of Transformations: pre-image image Reflection

Types of Transformations: image pre-image Dilation (enlargement)

Types of Transformations: image pre-image Dilation (reduction)

What type of transformation are the following? 1. 2. 3. 4.

1. Translate ABC according to the rule T(-3, 2). Translations 1. Translate ABC according to the rule T(-3, 2). B A C

Translate ABC T(x + 4, y - 2) A B C

P: (-3, -4) Q: (0, 2). Plot and translate T(5, 0).

ΔMNO has vertices M: (-3, 7), N: (4, 0), O: (5, -3) ΔMNO has vertices M: (-3, 7), N: (4, 0), O: (5, -3). State the new coordinates for each point under the translation (x, y) (x - 3, y - 4). has vertices R: (9, -6), S: (6, 5). State the new coordinates for each point under the translation right 3 units and down 2 units.

Translate (x + 2, y - 4) R M CLASS WORK A A B Translate 3 right and up 4 R A M A B

P' N' E' A' T' P N E A T

P S M I P' S' M' I'

In a translation, the image is: congruent and similar similar but not congruent to the pre-image In a reflection, the image is: congruent and similar similar but not congruent to the pre-image

In a dilation, the image is: In a rotation, the image is: congruent and similar similar but not congruent to the pre-image In a dilation, the image is: congruent and similar similar but not congruent to the pre-image

On graph paper, draw a pair of xy axes On graph paper, draw a pair of xy axes. Plot A(-1 , 1), B(-5 , 5) and C(-5 , 1). Connect to form a triangle ; this will be the pre-image. Then, on the same axes, plot A'(2 , -4) , B'(-2 , 0) and C'(-2 , -4). Connect to form a second triangle ; this will be the image. What type of transformation results? Click your answer  choice: A. Translation B. Rotation C. Reflection D. Dilation

On graph paper, draw a new pair of xy axes On graph paper, draw a new pair of xy axes.  Plot D(1 , -1), E(5 , -5) and F(1 , -5). Connect to form a triangle ; this will be the pre-image. Then, on the same axes, plot D'(-1 , -1) , E'(-5 , -5) and F'(-5 , -1). Connect to form a second triangle ; this will be the image. What type of transformation results? Click your  answer choice: A. Translation B. Rotation C. Reflection D. Dilation

On graph paper, draw a new pair of xy axes On graph paper, draw a new pair of xy axes.  Plot G(1 , 1), H(3 , 1) and J(6 , 4). Connect to form a triangle ; this will be the pre-image.  Then, on the same axes, plot G'(2 , 2) , H'(6 , 2) and J'(12 , 8). Connect to form a second triangle ; this will be the image. What type of transformation results? Click your  answer choice: A. Translation B. Rotation C. Reflection D. Dilation

On graph paper, draw a new pair of xy axes On graph paper, draw a new pair of xy axes.  Plot K(2 , 3), L(5 , 1) and M(6 , 5). Connect to form a triangle ; this will be the pre-image. Then, on the same axes, plot K'(-2 , 3) , L'(-5 , 1) and M'(-6 , 5). Connect to form a second triangle ; this will be the image. What type of transformation results? Click your  answer choice: A. Translation B. Rotation C. Reflection D. Dilation

A transformation is described as (x , y) ⇒(x + 2 , y - 3). What type of  transformation is this?: A translation B rotation C dilation D reflection

A transformation is described as (x , y) ⇒(-x, y). What type of  transformation is this?: A translation B rotation C dilation D reflection

A transformation is described as (x , y) ⇒(2x, 2y). What type of  transformation is this?: A translation B rotation C dilation D reflection

A transformation is described as (x , y) ⇒(y, -x). What type of  transformation is this?: A translation B rotation C dilation D reflection

a. 4 units to the left, 2 units down: Use coordinate notation to describe each translation: a. 4 units to the left, 2 units down: T(x , y) ⇒(x - 4, y - 2) b. 2 units to the right, 1 unit down: T(x , y) ⇒(x + 2, y - 1)