Test Review Answers: DEFINITIONS (Level 3). If lines k and m are parallel, then a reflection in line k followed by a reflection in line m is a ___________.

Slides:

Advertisements

Similar presentations

This presentation is the intellectual property of Christine Markstrum Chapter 7 Transformations.

Advertisements

Vocabulary:  Transformation – a one-to-one correspondence between two sets of points  Pre-image – the original figure  Image – figure after transformation.

Math 310 Sections Isometry. Transformations Def A transformation is a map from the plane to itself that takes each point in the plane to exactly.

Reagan’s unit 5 math vocab

Warm-Up Exercises 1. translation (x, y) → (x – 6, y – 2) 2. reﬂection in the y -axis Find the image of (2, 3) under each transformation. ANSWER (–4, 1)

Answer please?.

4.4 Congruence and Transformations

9.5 & 9.6 – Compositions of Transformations & Symmetry

Till the end All tied up in knots Turning the tables Who am I? Four wheels

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,

Review from Friday The composition of two reflections over parallel lines can be described by a translation vector that is: Perpendicular to the two lines.

 Composition of Transformation- 2 or more transformations are combined to form a single transformation  The composition of 2 (or more) isometries is.

9.5 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Apply Compositions of Transformations.

Number of Instructional Days: 13.  Standards: Congruence G-CO  Experiment with transformations in the plane  G-CO.2Represent transformations in the.

Unit 5 – Transformations in the Plane Unit 6 – Connecting Algebra with Geometry.

4-7 Congruence Transformations. A transformation is an operation that maps an original geometric figure, the preimage, onto anew figure called the image.

Activation—Unit 5 Day 1 August 5 th, 2013 Draw a coordinate plane and answer the following: 1. What are the new coordinates if (2,2) moves right 3 units?

9.3 – Perform Reflections. Reflection: Transformation that uses a line like a mirror to reflect an image Line of Reflection: Mirror line in a reflection.

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

Answers to Homework 8) (4,0) (-4,0) (0,4) 10) (-2,-1) (2,1) (1,-2) 12) (0,0) (0,0) (0,0) 14) BCDEHIKOX.

Transformations involving a reflection or composition of reflections

Space and Shapes Unit GRADE 9 MATH. True Translations, Reflections and 180 Degree Rotations E2 MAKE AND APPLY INFORMAL DEDUCTIONS ABOUT THE MINIMUM SUFFICIENT.

9-4 Compositions of Isometries. Isometry: a transformation that preserves distance or length (translations, reflections, rotations) There are 4 kinds.

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

What is a rigid transformation?  A transformation that does not change the size or shape of a figure.

Compositions of Transformations. Review Name the Transformation Original Image Translation.

9.5 & 9.6 – Compositions of Transformations & Symmetry

9.4 : Compositions of Transformations

Section 12-4 Compositions of Reflections SPI 32D: determine whether the plane figure has been translated given a diagram.

Reflections 9-1 Warm Up Lesson Presentation Lesson Quiz

Transformations Transformation is an operation that maps the original geometric figure, the pre-image , onto a new figure called the image. A transformation.

Translations 9.2 Content Standards

Reflections 9-1 Warm Up Lesson Presentation Lesson Quiz

Y. Davis Geometry Notes Chapter 9.

Section 9-1 Reflections.

EOCT Review Unit 5 – Transformations in the Plane

Reflections Warm Up Lesson Presentation Lesson Quiz

Reflections & Rotations

9.1 Translations -Transformation: a change in the position, shape, or size of a geometric figure -Preimage: the original figure -Image: the resulting figure.

EOCT Review Unit 5 – Transformations in the Plane

EXAMPLE 4 Use Theorem 9.6 In the diagram, the figure is reflected in line k.The image is then reflected in line m. Describe a single transformation that.

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

Warm Up On pg.’s 133 and 134 of your notes:

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

Module 15: Lesson 5 Angle Bisectors of Triangles

Reflections 9-1 Warm Up Lesson Presentation Lesson Quiz

Basic Constructions Constructing a congruent segment

These are flips, slides, turns, and enlargements/reductions.

4-7 Congruence Transformations

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

Notes 3.4 Perpendicular Lines.

EOCT Review Unit 5 – Transformations in the Plane

EOCT Review Unit 5 – Transformations in the Plane

Compositions of Transformations

Reflections 9-1 Warm Up Lesson Presentation Lesson Quiz

Essential Question: What can I add to the words slide, flip and turn to more precisely define the rigid-motion transformations – translation, reflection.

Module 2 Review

Reflections Warm Up Lesson Presentation Lesson Quiz

11.6 Congruence and Transformations

Exercise Write the opposite of 7. – 7.

9.2 Reflections By Brit Caswell.

Maintenance Sheet 24 due Friday

Point An exact position or location in a given plane.

Presentation transcript:

Test Review Answers: DEFINITIONS (Level 3)

If lines k and m are parallel, then a reflection in line k followed by a reflection in line m is a ___________. If ____ is the image of P after the two reflections, then: translation See next page for important note!

!!IMPORTANT!! k is the perpendicular bisector of m is the perpendicular bisector of Why?? Because of the definition of reflection that says the pre-image and image are the same perpendicular distance away !

If lines k and m intersect at point P, then a reflection across k followed by a reflection across m is a rotation. If A” is the image of A after the two reflections, then: The angle of rotation is 2x°, where x° is the measure of the acute or right angle formed by k and m

In the diagram, is reflected in line r, and is reflected in line s. 7. A translation maps onto which segment?

In the diagram, is reflected in line r, and is reflected in line s. 8. Which lines are perpendicular to r and s