Transformations: Translations Reflections Rotations Dilations.

Slides:

Advertisements

Similar presentations

TRANSFORMATIONS SPI SPI

Advertisements

Lesson 7.5 Dilations.

transformations (dilations). . .

12.6 Rotations and Symmetry Rotation- a transformation in which a figure is turned around a point Center of rotation- the point the figure is rotated around.

REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections.

Geometry: Dilations. We have already discussed translations, reflections and rotations. Each of these transformations is an isometry, which means.

Transformations on the Coordinate Plane

Types of transformations. Reflection across the x axis.

2.7: Dilations.

1.(2,4) 2. (-3,-1) 3. (-4,2) 4. (1,-3).  The vertices of a triangle are j(-2,1), K(-1,3) and L(0,0). Translate the triangle 4 units right (x+4) and 2.

Transformations A rule for moving every point in a figure to a new location.

Dilations in the Coordinate Plane

Small Group: Take out equation homework to review.

4-4 Geometric Transformations with Matrices Objectives: to represent translations and dilations w/ matrices : to represent reflections and rotations with.

Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.

Objective Identify and draw dilations..

TRANSFORMATIONS SPI SPI TYPES OF TRANSFORMATIONS Reflections – The flip of a figure over a line to produce a mirror image. Reflections.

REVIEW. To graph ordered pairs (x,y), we need two number lines, one for each variable. The two number lines are drawn as shown below. The horizontal number.

Lesson 2.7 Objective: To complete dilations on a coordinate plane.

Translations Lesson 6-1.

Types of transformations. Reflection across the x axis.

Dilations MCC8.G.3 Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.

A dilation is when the figure either gets larger (enlargement) or smaller (reduction). =

Dilation: a transformation that produces an image that is the same shape as the original, but is a different size. A dilation stretches or shrinks the.

TRANSFORMATIONS. DEFINITION  A TRANSFORMATION is a change in a figure’s position or size.  An Image is the resulting figure of a translation, rotation,

For each statement below, write whether the statement is true or false. A set of ordered pairs describe a function if each x-value is paired with only.

Learning Objectives To draw transformations of reflections, rotations, translations and combinations of these using graph paper, transparencies, and /or.

Dilations A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation stretches or.

Transformations: Translations & Reflections

7-7 Transformations Warm Up Problem of the Day Lesson Presentation

Transformations.

12-7 Dilations Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

Warm Up – Tuesday, August 19th

Do-Now Solve the system of equations. (2, –20) and (–1, –2)

Plotting Points and Transformations

Warm-up What is 7% of 28? 40% of 36 is what?.

To transform something is to change it.

8.2.7 Dilations.

transformations (dilations). . .

12.7 Dilations.

A movement of a figure in a plane.

A movement of a figure in a plane.

A movement of a figure in a plane.

A movement of a figure in a plane.

9-5: Dilations.

12-7 Dilations Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

12-7 Dilations Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

4-4 Geometric Transformations with Matrices

Chapter 6 transformations

Transformation in Geometry

“Measurement & Geometry” Math-7 SOL Review Packet

5-6 Dilations Course 3 Warm Up Problem of the Day Lesson Presentation.

9.2 REFLECTIONS.

4.5 Vocabulary dilation center of dilation enlargement reduction

Dilations Teacher Twins©2014.

Dilations Objective:.

Transformations Lesson 13.1.

TRANSFORMATIONS VOCABULARY

Transformations Translation Reflection The FRAME Routine

2.7 Dilations Essential Question: How do you dilate a figure to create a reduction or enlargement?

Identify and graph dilations

Geometric Transformations

Transformations on the Coordinate Plane

Transformations Review

TRANSFORMATIONS VOCABULARY

To transform something is to change it

Presentation transcript:

Transformations: Translations Reflections Rotations Dilations

Dilation If you use this presentation in a classroom, have students read the avatars’ captions. They enjoy it and are more engaged.

Vocabulary Dilation– Transformation where object size is changed. Scale Factor – A number used as a multiplier to increase or decrease the dimensions of something. Center of Dilation – A fixed point from which all points are expanded or contracted (0,0) B i C A B’ C’ A’ Vocabulary! The icon in the top right corner means to take Cornell notes on this slide. Have students draw the illustration if time permits.

A 𝟎, 𝟐 1 2 3 4 5 6 7 8 A 0, 0 C 𝟑, 𝟎 0•2=0 2•2=4 B 0, 2 3•2=6 0•2=0 A’ 𝟎, 𝟒 D 3, 0 C’ 𝟔, 𝟎 A’ D’ C’ B’ ’ B’ B 𝟑, 𝟐 C 3, 2 D 𝟎, 𝟎 3•2=6 2•2=4 A A D C B B 0•2=0 B’ 𝟔, 𝟒 D’ D C C’ D’ 𝟎, 𝟎 0 1 2 3 4 5 6 7 8 Okay multiply the original coordinate points by two. Lets dilate this rectangle by a scale factor of 2.

A’ B’ 9 A 𝟏, 𝟑 1 2 3 4 5 6 7 8 A 0, 0 C 𝟑, 𝟏 1•3=3 3•3=9 B 0, 2 3•3=9 1•3=3 A’ 𝟑, 𝟗 D 3, 0 C’ 𝟗, 𝟑 D’ C’ B’ ’ B 𝟑, 𝟑 A B D’ C’ C 3, 2 D 𝟏, 𝟏 3•3=9 A D C B 1•3=3 D C B’ 𝟗, 𝟗 D’ 𝟑, 𝟑 0 1 2 3 4 5 6 7 8 9 Okay multiply the original coordinate points by 3. Lets dilate this rectangle by a scale factor of 3.

A 𝟏, 𝟐 B’ 1 2 3 4 5 6 7 8 A 0, 0 C 𝟒, 𝟐 1•2=2 2•2=4 B 0, 2 4•2=8 2•2=4 A’ 𝟐, 𝟒 D 3, 0 C’ 𝟖, 𝟒 D’ C’ B’ ’ B A’ C’ B 𝟏, 𝟒 C 3, 2 1•2=2 4 •2=8 A C A D C B B’ 𝟒, 𝟖 0 1 2 3 4 5 6 7 8 Okay multiply the original coordinate points by two. Lets dilate this triangle by a scale factor of 2.

A 𝟐, 𝟐 1 2 3 4 5 6 7 8 A 0, 0 C 𝟔, 𝟐 2/2=1 B 0, 2 B 6/2=3 2/2=1 A’ 𝟏, 𝟏 D 3, 0 C’ 𝟑, 𝟏 D’ C’ B’ ’ B 𝟐, 𝟔 B’ C 3, 2 2/2=1 6/2=3 A C A D C B A’ C’ B’ 𝟏, 𝟑 0 1 2 3 4 5 6 7 8 Okay multiply the original coordinate points by 1/2 (or divide by 2) Lets dilate this triangle by a scale factor of 1/2.

1 2 4 5 6 7 9 10 3 8 B C A 𝟗, 𝟑 C 𝟏𝟓, 𝟗 A 0, 0 9/3=3 3/3=1 15/3=5 9/3=3 B 0, 2 A’ 𝟑, 𝟏 C’ 𝟓, 𝟑 D 3, 0 D’ C’ B’ ’ B’ C’ A D D 𝟏𝟓, 𝟑 B 𝟏𝟐, 𝟗 C 3, 2 15/3=5 3/3=1 12/3=4 9/3=3 D’ A’ A D C B D’ 𝟓, 𝟏 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 B’ 𝟒, 𝟑 Okay multiply the original coordinate points by 1/3 (or divide by 3) Lets dilate this quadrilateral by a scale factor of 1/3.