Reflecting over the x-axis and y-axis

Slides:

Advertisements

Similar presentations

Translations I can: Vocabulary: Define and identify translations.

Advertisements

TRANSFORMATIONS.

Jeopardy Opening.

W arm UP Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

(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.

9-1 Reflections You identified reflections. Draw reflections.

EQ: How can you investigate transformations? Lesson 13-5b Transformations pp Vocabulary to watch out for this lesson: Transformation Translation.

Shape and Space Reflections

Lesson 9-1 Reflections or Flips.

Reflections. What will we accomplish in today’s lesson? Given a pre-image and its reflected image, determine the line of reflection. Given a pre-image.

1. Real-life reflections 2 Animation Architecture Graphic Design.

 Reflection: a transformation that uses a line to reflect an image.  A reflection is an isometry, but its orientation changes from the preimage to the.

Transformations Unit, Lesson 1

) Math Pacing Transformations on the Coordinate Plane (3, – 2) III Q (0, 1) J (1, 4) & S (1, 0) (– 3, – 2)

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Translations, Reflections, and Rotations

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.

Coordinate Algebra Unit 5, Lesson 2 Reflections in the Coordinate Plane.

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.

Reflections or Flips.

9.1 Reflections By: The Tortellini's Draga, Kristin, Saahithi.

1.5 Reflections and Line Symmetry Warm Up. 1.5 Reflections and Line Symmetry Objectives Identify and draw reflections.

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

Chapter 7 Transformations. Chapter Objectives Identify different types of transformations Define isometry Identify reflection and its characteristics.

In mathematics, a transformation

Algebraic Representations of Transformations Day 2

Section 7.2 Reflections OBJECTIVE:

Warm up Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

Reflections. Reflect across the x-axis Change the sign of the y-value.

Warm up Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

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

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.

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 To move a figure in the coordinate system to another location or image, by a rule.

9.1 – Translate Figures and Use Vectors

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

Reflections Day 119 Learning Target: Students can represent transformations in the plane; describe transformations as functions that take points in the.

Translations Translations maintain Same Size Same Shape

Lesson Goals Identify and use reflections in a plane Identify reflections in the x-axis and the y-axis ESLRs: Becoming Competent Learners, Complex Thinkers,

Holt Geometry 12-1 Reflections 12-1 Reflections Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

9-2 Reflections Objective: To find reflection images of figures.

Warm up Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

Chapter reflections. Objectives Identify and draw reflections.

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).

9.2 Properties of Reflections

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,

1 Objectives Define transformations and isometry Identify and draw translations Identify and draw reflections.

Reflections A reflection is a FLIP over a line.. Also a reflection has: The same DISTANCE from a central line. The same SIZE as the original image.

The Leaner Twins LeftyRighty Graphing Transformations 2 Reflection - flipping a shape across a line so it faces the opposite direction.

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 –

5.7 Reflections and Symmetry. Objective Identify and use reflections and lines of symmetry.

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

Reflections. What is a reflection? A reflection is a transformation where a preimage and an image are congruent with opposite orientations In a reflection,

Mrs. Rivas International Studies Charter School. Bell Ringer Solve the equations. Show each step you use to solve the equation.

What type of transformation is used in inflating a balloon?

11.3 Reflections 1/11/17.

3B Reflections 9-2 in textbook

Lesson Reflections Materials for this lesson: Piece of plain white, blue, or yellow paper A ruler A protractor A pencil or pen Your notes.

Have homework ready to check and work on bellwork.

9.1: Reflections.

What do you see when you look in a mirror?

Objective Identify and draw reflections..

Presentation transcript:

Reflecting over the x-axis and y-axis Coordinate Reflections - 1 Reflecting over the x-axis and y-axis

FLIP IT OVER! Original shape Reflected shape Mirror line 3 squares from mirror line 3 squares from mirror line FLIP IT OVER! Original shape Reflected shape Mirror line Make sure the reflected shape is the same distance from the mirror line as the original shape

E E 3 squares from mirror line 3 squares from mirror line FLIP IT OVER! Original shape Reflected shape Mirror line Make sure the reflected shape is the same distance from the mirror line as the original shape

Reflections pre-image and image are equidistant from the line of reflection 2. the line of reflection is the perpendicular bisector of the segment connecting two reflected points 3. Orientation of the image of a polygon reflected is opposite the orientation of the pre-image (orientation – CW: clockwise; CCW: Counter-clockwise)

Reflection RULES

Reflect across the x-axis Change the sign of the y-value

Reflect the object below over the x-axis: Name the coordinates of the original object: A A: (-5, 8) B: (-6, 2) D C C: (6, 5) D: (-2, 4) B Name the coordinates of the reflected object: A’: (-5, -8) B’ B’: (-6, -2) D’ C’: (6, -5) C’ D’: (-2, -4) A’ The x-coordinates same; the y-coordinates  opposite.

Quadrilateral ABCD. Graph ABCD and its image under reflection in the x-axis. Use the vertical grid lines to find the corresponding point for each vertex so that the x-axis is equidistant from each vertex and its image. D' A(1, 1)  A' (1, –1) C' B(3, 2)  B' (3, –2) C(4, –1)  C' (4, 1) D(2, –3)  D' (2, 3) A' B' The x-coordinates stay the same, but the y-coordinates are opposite. That is, (x, y)  (x, –y).

Reflect across the x-axis

Reflect across the y-axis Change the sign of the x-value

Reflect the object below over the y-axis: Name the coordinates of the original object: T T’ T: (9, 8) R: (9, 3) Y: (1, 1) R’ R Name the coordinates of the reflected object: Y’ Y T’: (-9, 8) R’: (-9, 3) Y’: (-1, 1) The x-coordinates  opposite, the y-coordinates  same

B' A' C' D' The x-coordinates are opposite, but the Quadrilateral ABCD has vertices Graph ABCD and its image under reflection in the y-axis. Use the horizontal grid lines to find the corresponding point for each vertex so that the y-axis is equidistant from each vertex and its image. B' A(1, 1)  A' (–1, 1) A' B(3, 2)  B' (–3, 2) C(4, –1)  C' (–4, –1) D(2, –3)  D' (–2, –3) C' D' The x-coordinates are opposite, but the y-coordinates stay the same. That is, (x, y)  (–x, y).

Reflect across the y-axis