Section 18.1: Sequences of Transformations

Slides:

Advertisements

Similar presentations

Transformations on the Coordinate Plane

Advertisements

Presentation by: Tammy Waters Identify, predict, and describe the results of transformation of plane figures: A) Reflections, B) Translations, C)

9.3 – Perform Reflections.

Unit 5: Geometric Transformations.

Draw rotations in the coordinate plane.

Section 9.5. Composition of Transformations When two or more transformations are combined to form a single transformation, the result is a composition.

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

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

(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.

Transformational Geometry

1-7 transformations on the coordinate plane

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

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.

Translations Do Now Find the coordinates of each image 1.R x-axis (A) 2.R y-axis (B) 3.R y = 1 (C) 4.R y = –1 (E) 5.R x = 2 (F)

8-7 Transformation Objective: Students recognize, describe, and show transformation.

Check It Out! Example 1 a.b. Yes, the figures are similar and the image is not turned or flipped. No, the figures are not similar. Tell whether each transformation.

Warm-Up Triangle ABC has the following vertices A(7, 2), B(1, 2), C(4, 5). 1.Give the coordinates of the image after is has been translated 3 units left.

Objective: Sequences of transformations.

Transformations and Symmetry

Unit 1: Transformations Lesson 3: Rotations

Reflect across the y-axis

Objectives Identify reflections, rotations, and translations.

Transformations Main Idea Notes Transformation

Warm Up Find the coordinates of the image of ∆ABC with vertices A(3, 4), B(–1, 4), and C(5, –2), after each reflection. 1. across the x-axis 2. across.

Section 18.3: Special Right Triangles

Section 17.1: Translations

Transformations and Tesselations

Section 13.3: Solving Absolute Value Equations

Section 11.2: Solving Linear Systems by Substitution

Section 16.1: Dilations.

A circular dial with the digits 0 through 9 evenly spaced around its edge can be rotated clockwise 36°. How many times would you have to perform this.

Section 21.3: HL Triangle Congruence

A movement of a figure in a plane.

Section 13.1: Understanding Piecewise-Defined Functions

MATH 8 – UNIT 1 REVIEW.

Section 20.1: Exploring What Makes Triangles Congruent

Section 16.2: Proving Figures are Similar Using Transformations

Section 17.3: Rotations.

True or False: A transformation is an operation that maps a an image onto a pre-image. Problem of the Day.

4-4 Geometric Transformations with Matrices

Section 20.2: ASA Triangle Congruence

Properties or Rules of Transformations

Unit 7: Transformations

Algebraic Representations of Transformations

Congruent Triangles.

Section 2.2: Solving Absolute Value Equations

Section 20.4: SSS Triangle Congruence

Objective(s): By following instructions, students will be able to: Discover that the corresponding parts of congruent figures are congruent.

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

Section 13.2: Absolute Value Functions and Transformations

3.1 Sequences of Transformations

TRANSFORMATIONS Translations Reflections Rotations

Rotation: all points in the original figure rotate, or turn, an identical number of degrees around a fixed point.

Section 18.2: Proving Figures are Congruent Using Rigid Motions

Transformations Lesson 13.1.

#4 Explorations Workbook Pg 212 Similar Figures

Bellwork Complete the Reflections worksheet on the counter

Unit 1 Transformations in the Coordinate Plane

Translations, Reflections, & Rotations

Section 12.2: Graphing Systems of LInear Inequalities

Transformations: Translations Rotations Reflections

8th Grade: Chapter 6 TRANSFORMATIONS

Identify and graph compositions of transformations, such as glide reflections LT 12.4.

Unit 1 Transformations in the Coordinate Plane

Section 2.3: Solving Absolute Value Inequalities

Transformations in a Coordinate Plane

Page 37 Unit 1, Lesson 5: Coordinate Moves

Warm-up Question (not in your book)

Section 6.3 Vectors in the Plane.

Topic 3 - transformations

Presentation transcript:

Section 18.1: Sequences of Transformations

Objective(s): By following instructions, students will be able to: Determine what happens when you apply more than one transformation to a figure.

explain 1A Draw the image of △ABC after the given combination of transformations. Reflection over the line l then translation along vector v.

explain 1B Draw the image of △ABC after the given combination of transformations. 180 degree rotation around point P, then translation along vector v, then reflection across line l.

Your-Turn #1 Draw the image of △ABC after the given combination of transformations.

explain 2A Draw the image of the figure in the plane after the given combination of transformations.

explain 2B Draw the image of the figure in the plane after the given combination of transformations.

Draw the image of the figure in the plane after the given combination of transformations. Your-Turn #2

explain 3A Predict the result of applying the sequence of transformations to the given figure.

explain 3A Predict the result of applying the sequence of transformations to the given figure.

Your-Turn #3 Predict the result of applying the sequence of transformations to the given figure.

Revisit Objective(s): Did we... Determine what happens when you apply more than one transformation to a figure?

HW: Sec 18.1 pg 716 #s 1-15