Reflection on the Coordinate Plane

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

TRANSFORMATIONS.

(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.

Introduction and Review Information

13.4 and 13.5 Translations, reflections, and symmetry

Transformations Dilations Translations Reflections Rotations.

8.3 Notes Handout.

2.4: Rotations.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Reflections 30 Reflect across y=x (x,y)  (y,x) Reflect across x-axis (x,y)  (x,-y) Reflect across y-axis (x,y)  (-x,y) Reflect across y=x Reflect across.

Translations, Reflections, and Rotations

9-5 Transformations in the Coordinate Plane Learn to use translations, reflections, and rotations to change the positions of figures in the coordinate.

Transformation a change of position, shape or size of a figure Three types of transformation A slide called a translation A flip, called a reflection The.

Studying a Reflection. Create a reflection Place the Communicator ® on top of the Transformation Grid and Chart template Locate the three vertices: A(1,0),

Reflections What are reflections?. What are the characteristics of a reflection? A reflection is a mirror image of the original shape. A reflection is.

Holt CA Course 1 8-7Transformations Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Polygons and Transformations Unit 2. Essential Questions 1.) How can you change a figure’s position without changing its size and shape? 2.) What process.

Reflection: an isometry (or rigid motion) in which a figure is flipped giving its image an opposite orientation.

Properties of Reflections. Warm up Triangle ABC has vertices A(1, 1), B(3, 1), and C(2, 4). Describe how each reflection changes the coordinates of the.

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

Dec. 14 HW 18: Transformations Aim: Working with Dilation, Reflection, Translations, and Rotations. Review from 7 th Accelerated. Materials you will need.

2.7: Dilations.

Process What is the ratio of the corresponding sides of the blue triangle to the red triangle? The ratio of corresponding sides of a figure.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes 1.

In mathematics, a transformation

Holt Geometry 12-1 Reflections A transformation is a change in the position, size, or shape of a figure. The original figure is called the preimage. The.

Transformations 5-6 Learn to transform plane figures using translations, rotations, and reflections.

Perform Congruence Transformations. A __________________ is an operation that moves or changes a geometric figure to produce a new figure called an __________.

8-10 Translations, Reflections, and Rotations Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

8-10 Translations, Reflections, and Rotations Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Reflections Grade 6 Copyright © Ed2Net Learning Inc.1.

Warm up  Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line)  Y = 0X = 4  X = 0X = 1  Y = -3Y = -2.

Transformations Objective: to develop an understanding of the four transformations. Starter – if 24 x 72 = 2016, find the value of: 1)2.8 x 72 = 2)2.8.

Transformations Reflection An object can be reflected in a mirror line or axis of reflection to produce an image of the object. For example, Each point.

Coordinate Grids Ms. Cuervo.

Transformations.

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

Transformations 7-7 Properties of Transformations. Goal: By the end of the week, I will recognize the difference between translations, reflections, and.

Reflections Chapter 3 Section 7. Reflections A reflection – is a transformation that flips an image over a line. o This line is called the line of reflection.

Properties or Rules of Transformations Equations used to find new locations.

Translations Lesson 9-8.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–8) Main Idea and Vocabulary Example 1:Reflect a Figure Over the x-Axis Example 2:Reflect.

EXAMPLE 2 Plot points in a coordinate plane

1-7 transformations on the coordinate plane

Warm Up (4, –6) (12, 27) (–6, 2) 1. Subtract 3 from the x-coordinate and 2 from the y-coordinate in (7, –4). 2. Multiply each coordinate by 3 in (4, 9).

Lesson 10-3 Pages Transformations on the Coordinate Plane Lesson Check 10-2.

 2.3: Reflections. What is a Reflection?  Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection.

Unit 5 Transformations. ) Math Pacing Review of the Coordinate Plane (3, – 2) III Q (0, 1) J (1, 4) & S (1, 0) (– 3, – 2)

Transformations on the Coordinate Plane Transformations are movements of geometric figures. The preimage is the position of the figure before the transformation,

Types of Rigid Motion Translation Rotation Reflection Objective - To describe and interpret translations and reflections in the coordinate plane.

Translations and Reflections.  Move the figure  Same shape and size (Congruent) (x ± n, y ± m)  x + n, move every point n units to the right  x –

Reflection Objectives: D GradeReflect shapes in lines such as x = - 2 or y = 1 Describe reflections fully Identify reflection symmetry in 3-D solids Prior.

Jan. 17 HW 36: Transformations Day 1 Aim: Working with Dilation & Reflection Materials you will need for this homework: pencil ruler.

1.7 Motion in the Coordinate Plane Date: _______.

 coordinate plane  x-axis  y-axis  origin  quadrants  ordered pair  x-coordinate  y-coordinate.

Unit 5 Transformations in the Coordinate Plane. Translations.

Rotation Translation Reflection. Review of Cartesian Plane.

Translations, Reflections, and Rotations. Vocabulary Transformation- changes the position or orientation of a figure. Image- the resulting figure after.

Warm up Reflect the figure ABCD across the line y=x. List the new coordinates of the points A’B’C’D’.

Dilations: (Stretching/Shrinking)

Dilations: (Stretching/Shrinking)

Dilations: (Stretching/Shrinking)

Reflections on the Coordinate Plane

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

Unit 1 Transformations in the Coordinate Plane

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes 1.

Unit 1 Transformations in the Coordinate Plane

Page 37 Unit 1, Lesson 5: Coordinate Moves

Presentation transcript:

Reflection on the Coordinate Plane

Describe the movement to superimpose one figure over the other The y-axes is also the line x = 0 The x-axes is also the line y = 0 1. Select the shape 2. From the drop down select Reflect Shape 3. Select the line over which to reflect A reflection (flip) over the y-axis (the line X=0)

What do you notice about the original and the reflected triangle? Touch the red triangle. From the drop down select Show/Hide Vertex Points C C' A' A B' B What happens to the coordinates of triangle ABC when it is reflected over the y-axis?

Summary: Reflection over the y-axis B' B A(3,4) A'(-3,4) B(6,2) B'(-6,2) C(6,6) C'(-6,6) (x,y) (-x,y)

Describe the movement to superimpose one figure over the other The y-axes is also the line x = 0 The x-axes is also the line y = 0 1. Select the shape 2. From the drop down select Reflect Shape 3. Select the line over which to reflect A reflection (flip) over the x-axis (the line Y=0)

What do you notice about the original and the reflected triangle? Touch the red triangle. From the drop down select Show/Hide Vertex Points C A B A' B' C' Label the image

Summary: Reflection over the x-axis A(3,4) A'(3,-4) B(6,2) B'(6,-2) C(6,6) C'(6,-6) A B (x,y) (x,-y) B' A' C'

B" (____,____) B" Reflect rectangle ABCD over: Use the Pen Tool to complete the coordinate pairs. Drag the letters to label each image. Touch rectangle ABCD and Reflect Shape over a) x = 0 b) y = 0 Reflect rectangle ABCD over: a) the y-axis b) the x-axis a) A' (____,____) A' A B B' (____,____) B' C' C' (____,____) D C D' (____,____) D' b) A" (____,____) A" B" (____,____) B" C" (____,____) C" D" (____,____) D"

Solution B' A' A B C' D' D C D" C" A" B"

B" (____,____) B" Reflect triangle ABC over: Use the Pen Tool to complete the coordinate pairs. Drag the letters to label each image. Touch triangle ABC and Reflect Shape over a) x = 0 b) y = 0 Reflect triangle ABC over: a) the y-axis b) the x-axis a) A' A' (____,____) B' (____,____) B' C' C' (____,____) C B b) A" (____,____) A" B" (____,____) B" A C" (____,____) C"

Solution A" C" B" C B B' C' A A'

Describe the reflection Use Reflect Shape to check your answer A reflection over the line y=x