Geometry 21 May 2013 1) Empty your group folder. 2) Warm Up Find the volume and surface area.

Slides:



Advertisements
Similar presentations
(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.
Advertisements

Transformation in Geometry Created by Ms. O. Strachan.
Today’s Lesson: What: transformations (reflections)... Why: To perform reflections of figures on the coordinate plane. What: transformations (reflections)...
7-2 Similarity and transformations
Geometry: Dilations. We have already discussed translations, reflections and rotations. Each of these transformations is an isometry, which means.
Transformations on the Coordinate Plane
Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane
Created by Barbara Fugitt Vocabulary Transformations Sketches $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.
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.
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.
Reflection: an isometry (or rigid motion) in which a figure is flipped giving its image an opposite orientation.
Lesson 11.4 Translations and Reflections
Geometry Lesson 6.2B – Reflections and Rotations
Getting started.
Geometry: Similar Triangles. MA.912.G.2.6 Use coordinate geometry to prove properties of congruent, regular and similar polygons, and to perform transformations.
Mathematics 8 Support Mental Math Yearly Plan. Mental Math: Geometry a) Unique Triangles.
Transformations Day 1: Graphing. Vocabulary Transformations – mapping of a figure on the coordinate plane. 1) Reflection: Mirror image x-axis (x,y) →(x,-y)
Reflection Yes No. Reflection Yes No Line Symmetry.
Warm Up Translate the following coordinates: Translate the following coordinates: (-3, -2)(-2, 2)(0,4)  (x + 2, y – 4)(-3, -2)(-2, 2)(0,4)  (x + 2, y.
Transformations A rule for moving every point in a figure to a new location.
Perform Congruence Transformations. A __________________ is an operation that moves or changes a geometric figure to produce a new figure called an __________.
Dilations in the Coordinate Plane
4-4 Geometric Transformations with Matrices Objectives: to represent translations and dilations w/ matrices : to represent reflections and rotations with.
Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.
Identifying Combined Transformations 5-8 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.
Properties or Rules of Transformations Equations used to find new locations.
Math 8 Day 11 Learning Target: Students can identify the image of a figure after a combined transformation is performed, and determine whether the final.
GEOMETRY UNIT 1 Transformations.
9-2 Reflections Objective: To find reflection images of figures.
Transformations on the Coordinate Plane Transformations are movements of geometric figures. The preimage is the position of the figure before the transformation,
Perform Congruence Transformations. Transformations: when you move or change a geometric figure in some way to produce a new figure. Image is what the.
Types of Rigid Motion Translation Rotation Reflection Objective - To describe and interpret translations and reflections in the coordinate plane.
Linear Algebra Tuesday September 2. Answers for homework.
Jan. 17 HW 36: Transformations Day 1 Aim: Working with Dilation & Reflection Materials you will need for this homework: pencil ruler.
Chapter 5 Notes. 5.6 Reflections ▪ Reflection (flip) – a transformation in which a figure is reflected over a line of reflection (the x and y axes are.
Compositions of Transformations
Translations (Day 1) We are learning to…identify and translate images on a coordinate plane. Thursday, March 17, 2016.
Unit 5 Transformations in the Coordinate Plane. Translations.
Honors Geometry Transformations Section 3 Translations and Compositions.
SOL’s Covered: Topics: Volume of Prisms and Cylinders (IXL – P.29 & X.39) Surface Area of Prisms and Cylinders (IXL – P.28 & Z.39) Changing Attributes.
For each statement below, write whether the statement is true or false. A set of ordered pairs describe a function if each x-value is paired with only.
Warm Up 1. Dilations: 2. Similar Figures: A 1.6-m-tall woman stands next to the Eiffel Tower. At this time of day, her shadow is 0.5 m long. At the same.
Dilations A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation stretches or.
Unit 5 Transformations Review
Transformation in Geometry
Warm Up – Tuesday, August 19th
Warm-up Test Review.
Warm up Reflect the figure ABCD across the line y=x. List the new coordinates of the points A’B’C’D’.
7-2 Similarity and transformations
Warm-Up How many lines of symmetry do the figures have? Draw them!
Dilations Teacher Twins©2014.
Translations.
GSE Geometry End of Course Study Guide
“Measurement & Geometry” Math-7 SOL Review Packet
Dilations Teacher Twins©2014.
Warm Up:.
4-4 Geometric Transformations with Matrices
Transformation in Geometry
Transformations: Dilations
“Measurement & Geometry” Math-7 SOL Review Packet
Unit 6 Day 4 Rotations.
Transformations Lesson 13.1.
Warm Up:.
Splash Screen.
Year 8 Term 2 Final Review.
Transformations Translation Reflection The FRAME Routine
Homework: Study for Unit Test & Complete Test Prep Packet Learning Target: I can demonstrate how transformations and angle relationships impact geometric.
Unit 1 Test Review.
Presentation transcript:

Geometry 21 May ) Empty your group folder. 2) Warm Up Find the volume and surface area

Objective Students will review geometry topics and be able to translate and reflect geometric figures. Students will work timed problems, collaborate with a partner to find/ correct errors and work with their group. DUE TUESDAY: Proofs using Similarity DUE FRIDAY: Review Packet

BOOKS TURN IN YOUR BOOK TO THE LIBRARY AS SOON AS YOU ARE FINISHED WITH IT! Do you want it to help study for the final? THEN TURN IT IN Right after your final! You won’t use it? Turn it in now! :0

Project Presentations AUDIENCE- please take notes as students present and work any problems that are given PRESENTERS- Clear, concise; 3 – 5 minutes AUDIENCE- Attentive, good listeners, taking notes

Transformations- see page 376

Rule: (x,y)  (x - 7, y - 3)

about the x-axis Example #1: Reflect the object below about the x-axis: Name the coordinates of the original object: A B C D A: (-5, 8) B: (-6, 2) C: (6, 5) D: (-2, 4) A’ B’ C’ D’ Name the coordinates of the reflected object: A’: (-5, -8) B’: (-6, -2) C’: (6, -5) D’: (-2, -4) How were the coordinates affected when the object was reflected over the x-axis? How were the coordinates affected when the object was reflected over the x-axis?

about the y-axis Example #2: Reflect the object below about the y-axis: Name the coordinates of the original object: Y J T T: (9, 8) J: (9, 3) Y: (1, 1) J’ T’ Y’ Name the coordinates of the reflected object: T’: (-9, 8) J’: (-9, 3) Y’: (-1, 1) How were the coordinates affected when the object was reflected over the y-axis? How were the coordinates affected when the object was reflected over the y-axis?

Complete Transformations On a Coordinate Plane Handout Summary (x,y)  (-x, y) is a reflection across the y-axis (x,y)  (x, -y) is a reflection across the x-axis (x,y)  (-x, -y) is a rotation about the origin (x,y)  (ax, ay) is a dilation (multiply each coordinate by a scale factor)

Project Presentations AUDIENCE- please take notes as students present and work any problems that are given PRESENTERS- Clear, concise; 3 – 5 minutes AUDIENCE- Attentive, good listeners, taking notes

Finished? Work on REVIEW PACKET- due FRIDAY

Debrief What do you need to review to be ready for the final exam? Area/ Surface Area/Volume Pythagorian theorem/ pythagoras in a box Similarity- triangles/ shadows/ heights Trigonometry- SOH CAH TOA Circle Properties Proof