4.1 Translations

Presentation

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Mathematics

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10th Grade

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Practice Problem

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Hard

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CCSS

8.G.A.3, HSG.CO.A.2, HSN.VM.A.2

Standards-aligned

Shannon Blackerby

Used 150+ times

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6 Slides • 5 Questions

4.1 Translations

Unit 2: Geometry

Transformation

A FUNCTION that moves or changes a figure in some way.

It changes a PRE-IMAGE (ABC) into an IMAGE (A'B'C').

Vector

Multiple Choice

In the diagram, name the vector and write its component form

$\overrightarrow{JK}$

<4, 3>

$\overrightarrow{JK}$

<3, 4>

$\overleftarrow{JK}$

<4, 3>

$\overrightarrow{JK}$

<-3, 4>

Graphing

The vertices of ABC are A (0, 3), B(2, 4), and C(1, 0).

Translate the triangle using the vector <5, -1> and plot the image, A'B'C'.

Translation Notation

You can also write translations using notation (math) by using the form above! It would be the same as the vector <a, b>.

Multiple Choice

Which of the following is the correct translation notation for the pre-image and image shown?

<4, 1>

<-4, 1>

$\left(x,\ y\right)\rightarrow\left(x-4,\ y+1\right)$

$\left(x,\ y\right)\rightarrow\left(x+4,\ y-1\right)$

Graphing

Graph quadrilateral ABCD with vertices A(−1, 2), B(−1, 5), C(4, 6), and D(4, 2) and its image after the translation (x, y) → (x + 3, y − 1).

RIGID MOTIONS are also called ISOMETRIES

The following transformations are rigid motions:
TRANSLATIONS
REFLECTIONS
ROTATIONS

RIGID MOTIONS
PRESERVE SHAPE AND SIZE

COMPOSITE of TRANSFORMATIONS

You can perform more than one transformation

Multiple Select

Select all of the translations performed in this composite transformation.

$\left(x,\ y\right)\rightarrow\left(x-5,\ \ y+2\right)$

<5, -2>

$\left(x,\ y\right)\rightarrow\left(x-4,\ y-2\right)$

<4, 2>

4.1 Translations

Unit 2: Geometry

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