1. Watch this video and fill in a definition for each of the terms (2-4) 1. https://www.youtube.com/watch?v=r3lN_B ADmPQ 2. Translations 3. Reflection.

Slides:

Advertisements

Similar presentations

Do Now 1) Draw a coordinate grid (like below) and label the axes 2)Graph the point (2,1) 3) Translate (2,1) 4 units up and 1 unit left 4)Write the translation.

Advertisements

By: Mrs. Fischer Learning Targets: 8.G.2,8.G.3, 8.G.4

Transformations on the Coordinate Plane

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.

A transformation is a change in the position, size, or

By: Mrs. Fischer Learning Targets: 8.G.2,8.G.3, 8.G.4

Types of transformations. Reflection across the x axis.

Translations Translations and Getting Ready for Reflections by Graphing Horizontal and Vertical Lines.

Algebraic Representations of Transformations Day 2

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.

Holt Geometry 1-7 Transformations in the Coordinate Plane Warm Up 1.Which describes a translation? a) Turnb) Flipc) Slide 2. Which describes a rotation?

Holt McDougal Geometry 1-7 Transformations in the Coordinate Plane Identify reflections, rotations, and translations. Graph transformations in the coordinate.

In the diagram above, corresponding points on the two figures are related. Suppose P is any point on the original figure and P’ is the corresponding point.

SOLUTION EXAMPLE 1 Find the image of a glide reflection The vertices of ABC are A(3, 2), B(6, 3), and C(7, 1). Find the image of ABC after the glide reflection.

Answer the following questions using yesterday’s Translation Task: 1.What is a transformation? 2.What are vertices? 3.When does it mean when geometric.

Small Group: Take out equation homework to review.

Translations. Definitions: Transformations: It is a change that occurs that maps or moves a shape in a specific directions onto an image. These are translations,

4.4 Transformations with Matrices 1.Translations and Dilations 2.Reflections and Rotations.

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.

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

GEOMETRY UNIT 1 Transformations.

Types of transformations. Reflection across the x axis.

Translations. Graph the following coordinates, then connect the dots (-8,0) (-5,0) (-5,1) (-3,-1) (-5,-3) (-5,-2)(-8,-2)

(7.7) Geometry and spatial reasoning The student uses coordinate geometry to describe location on a plane. The student is expected to: (B) graph reflections.

1.4 Rigid Motion in a plane Warm Up

1-7 transformations on the coordinate plane

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

CONGRUENCE AND TRANSFORMATIONS (GET GRAPH PAPER WHEN YOU ENTER CLASS) SECTION 4.4.

Compositions of transformations off the grid. Determining Transformations Off The Grid 1.Is orientation preserved? a)No - Reflection b)Yes – Rotation,

Translations Unit 2 Section 1. What is a translation? Moving a shape, without rotating or flipping it. "Sliding". The shape still looks exactly the same,

1.7 Motion in the Coordinate Plane Date: _______.

5 minute check 8 Click the mouse button or press the Space Bar to display the answers.

Unit 5 Transformations in the Coordinate Plane. Translations.

REVIEW OF MAPPING RULES

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.

CH. 9 – PROPERTIES OF TRANSLATIONS ESSENTIAL QUESTION: HOW DO YOU DESCRIBE THE PROPERTIES OF TRANSLATION AND THEIR EFFECT ON THE CONGRUENCE AND THE ORIENTATION.

Algebra 4-2 Transformations on the Coordinate Plane

Algebra 4-2 Transformations on the Coordinate Plane

The original figure is called the preimage.

Algebra 4-2 Transformations on the Coordinate Plane

Objectives Identify reflections, rotations, and translations.

Warm-up Test Review.

WARM UP: Draw pentagon PENTA on three different graphs on your worksheet. Label the vertices and write each vertex as an ordered pair. On the first graph,

4.2 Reflections.

[ ] [ ] EXAMPLE 4 Use scalar multiplication in a dilation

Warm Up #33 Monday 5/16 .

and 2 units to the left of point B. Count down 5 units from point B

4-4 Geometric Transformations with Matrices

Chapter 9: Transformation and Congruency

Unit 1: Transformations Day 3: Rotations Standard

Algebraic Representations of Transformations

EXAMPLE 1 Translate a figure in the coordinate plane

Geometry PreAP, Revised ©2013 1–7 and 12–1: Transformations

Motion in the Coordinate Plane

What is a transformation? What are vertices?

Algebra 4-2 Transformations on the Coordinate Plane

Objectives Identify reflections, rotations, and translations.

Algebra 4-2 Transformations on the Coordinate Plane

1.7 Motion in the Coordinate Plane

Algebra 4-2 Transformations on the Coordinate Plane

Unit 1 Transformations in the Coordinate Plane

Happy Tuesday!!! Take out your homework assignment and be ready to turn it in when the bell rings. Take out paper to write notes.

Transformations Translation Reflection The FRAME Routine

11.4 Translations and Reflections

Unit 1 Transformations in the Coordinate Plane

Congruent Figures Day 2.

Presentation transcript:

1. Watch this video and fill in a definition for each of the terms (2-4) 1. ADmPQ 2. Translations 3. Reflection 4. Rotation 5. Dilatation

 A mapping rule is an algebraic expression that describes a change __________  Instead of verbal instructions, is numerical instructions  The instructions tell __________ (Moved? Reflected? Size?)

To make a mapping rule… What are the coordinates for Triangle ABC? A: B: C: A B C

To make a mapping rule… What are the coordinates for Triangle ABC? A: B: C: Now, take point A and move it right 5 spaces and down 3. Label the new point A` A B C A`

To make a mapping rule… What are the coordinates for Triangle ABC? A: (-6, 7) B: (-4, 2) C: (-8, 2) B would move in a similar way. If: B  B` Then: (-4, 2)  (____, _____) And C  C`, then (-8, 2)  (____, _____) A B C A` B` C`

To make a mapping rule… What are the coordinates for Triangle ABC? A: (-6, 7) B: (-4, 2) C: (-8, 2) B would move in a similar way. If: B  B` Then: (-4, 2)  ) And C  C`, then (-8, 2)  A B C A` B` C`

To make a mapping rule… What are the coordinates for Triangle ABC? A: B: C: How could we determine the new coordinates ( B` and C`) without plotting them on the grid? A B C A` B` C`

To make a mapping rule… What are the coordinates for Triangle ABC? A: B: C: If we can say “I added 5 to x and subtracted 3 from y” we can also do show that with numbers. Mapping rule: __________ A B C A` B` C`

 Mapping rules show the changes to x and y (x, y)  (x + 2, y +3) Values of x and y “are changed by…” Change affecting y Change affecting x

 In your groups take this shape (pre-image) and translate it to a new spot on the grid.  Exchange images with another group.  Make the mapping rule for the other group’s image.  Trade back and compare A C B D

 Complete the table of mapping coordinated to show change Pre-ImageMapping ruleNew Coord’ates (3, -2)(x,y)  (x + 2, y + 3) (0,6)( -3,4) (x,y)  (x - 2, y + 1)(8, 5) (x,y)  (-y, x) (2, 5) (-4, 1)(x,y)  (3x, 3y)

 x and y are both changed by addition and/or subtraction  They do not need to be changed the same amount

Question #1 On a grid, create triangle RST with vertices R(-4, 4) S(-6, 2) T(-3, 2). Translate triangle RST 4 spaces left. This is R`S`T` 1. What are the new coordinates of this triangle? 2. Compare the vertices of the original triangle. What is the mapping rule? Translate R`S`T` 5 spaces down. This is R``S``T`` 3. Explain why (x, y)  (x-4, y-5) would describe the relation between the final position of the triangle (R``S``T``) and the original. 4. Without graphing, what would be the coordinates of R```S```T``` if the mapping rule was (x, y)  (x+7, y-3)?