9.2 Properties of Reflections

Slides:

Advertisements

Similar presentations

An isometry is a transformation that does not change the shape or size of a figure. Reflections, translations, and rotations are all isometries. Isometries.

Advertisements

Translations I can: Vocabulary: Define and identify translations.

(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.

Transformation in Geometry Created by Ms. O. Strachan.

Reflections Lesson 6-2 Page 461.

Today’s Lesson: What: transformations (reflections)... Why: To perform reflections of figures on the coordinate plane. What: transformations (reflections)...

Lesson 9-1 Reflections or Flips.

8.3 Notes Handout.

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.

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

TRANSFORMATIONS BY: JESSICA RODRIGUEZ. TEKS FOR 8 TH GRADE TRANSFORMATIONS Two-dimensional shapes. The student applies mathematical process standards.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

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.

Reflecting over the x-axis and y-axis

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 Section 9.3.

Lesson 11.4 Translations and Reflections

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.

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

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

Getting started.

Geometric Transformations:

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.

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.

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

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

Do Now   Describe the translations in words (x, y)  (x – 5, y + 3) (x, y)  (x + 2, y - 1) (x, y)  (x + 0, y + 2)

Coordinate Grids Ms. Cuervo.

10-1(B) and 10-2(D) Translations and Reflections on the Coordinate Plane.

9.1 – Translate Figures and Use Vectors

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

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)

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).

 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.

DRILL 1) If A is in between points B and C and AC is 4x + 12 and AB is 3x – 4 and BC is 57 feet how long is AB? 2) Angles A and B are Supplementary if.

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.

Review: A TRANSFORMATION is when a figure or point is moved to a new position in a coordinate plane. This move may include a change in size as.

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

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

Unit 5 Transformations in the Coordinate Plane. Translations.

Algebra 2 Families of Functions Lesson 2-6 Part 2.

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

Graphing & Describing “Reflections”. We have learned that there are 4 types of transformations: 1)Translations 2)Reflections 3)Rotations 4)Dilations The.

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

Holt McDougal Geometry 9-1 Reflections 9-1 Reflections Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz Holt.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

The original figure is called the preimage.

11.3 Reflections 1/11/17.

3B Reflections 9-2 in textbook

9.2 Properties of Reflections

Objectives Identify reflections, rotations, and translations.

Warm Up Tell whether the shaded figure is a translation of the non-shaded figure. If it is a translation, use an arrow to represent the direction of the.

Properties of Reflections

Transformation in Geometry

Transformations Day 1 Notes Slideshow.

9.1: Reflections.

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

TRANSFORMATIONS Translations Reflections Rotations

Unit 4 Transformations.

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

Objective Identify and draw reflections..

Goal: The learner will reflect a figure in any given line.

Presentation transcript:

9.2 Properties of Reflections How do you describe the properties of reflection and their effect on the congruence and orientation of figures? Reflections keeps the size and shape, but not the orientation!

Reflection Vocabulary flips Reflection – a transformation that ___________ a figure across a line That line is called ____________________. Once reflected across the _________ and the ____________, each vertice of the image is the _________ distance from the line of reflection. line of reflection x-axis y-axis same

Properties of Reflections NOT When you reflect an image across the coordinate plane axis, it does ______ change the ___________ or _____________, but it does change the ______________ of the shape to a mirror image of the pre-image (the way the shape look compared from the pre-image) With a reflection transformation angle measures __________________ With a reflection transformation side measures ___________________ size shape orientation keeps congruency keeps congruency

Rules for algebraically reflecting shapes vertice Identify the coordinate of each _________________. When reflecting a shape across the ________________, change the ______ of the ________________. Example: ( 0, 3 ) Example: (-3,-8) x-axis sign y-value (0,-3) y-axis sign x-value (3,-8)

Draw the figure. Then draw the described reflection Reflect across the x-axis, so the ____________ will change signs. W (-5,2) W’ X (3,0) X’ Y (-2,-5) Y’ Size Change? ____ Shape Change? ____ Orientation ? _____ y-values (-5,-2) (3,0) (-2,5) No No Yes

Draw the figure. Then draw the described reflection Reflect across the y-axis, so the ____________ will change signs. G(3,-3) H (-5,-1) Y (-4,3) K (2,2) Size Change? ____ Shape Change? ____ Orientation ? _____ x-values (-3,-3) (5,-1) (4,3) (-2,2) No No Yes

Since the new x-values are opposite from the pre-image, the size and shape of the image stayed the same, but the orientation changed. According to the new image coordinates, which axis did the pre-image reflect across?

Double-Prime Prime Pre-Image

Double-Prime Prime Pre-Image