To transform something is to change it. In geometry, there are specific ways to describe how a figure is changed. The transformations you will learn about include: Translation Rotation Reflection Dilation
Renaming Transformations It is common practice to name shape using capital letters: It is common practice to name transformed shapes
using the same letters with aprime symbol: A Translation slides an object a fixed distance in a given direction. The original object and its translation have the, same shape and size and they face in the same
. direction Translations are SLIDES. Let's examine some translations related to coordinate
geometry. The example shows how each vertex moves the same distance in the same direction. In this
example, the "slide" moves 7 units the left the to figure 3 units down (or 3 units down
and and 7 .units to the left.) Write the points What are the coordinates for A, B, C, D? A (2, 4) B (4, 4)
C (5, 2) D (2, 1) What are the coordinates for A, B, C, D? A (-5, 1) B (-3, 1) C (-2, -1) D (-5, -2) How did the transformation change
the points? The figure slides 7 units to the left and 3 units down rotation A is a transformation that turns a figure about a fixed point called
shape size the center ofsame rotation. An and object and its rotationmay are the
, but the figures be turned in different directions The concept of rotations can be seen in wallpaper
designs, fabrics, and art work. Rotations are TURNS!!! This rotation is 90 degrees counterclockwise.
Clockwise Counterclockwise A reflectioncan be seen in water, in a mirror, in glass, or in a shiny surface. An object and its reflection have same shape and size , but the figures face in opposite the
directions . In a mirror, for example, right and left are switched. Line reflections are FLIPS!!! The line (where a mirror may be placed) is called the lineofofreflection. reflection The distance from a point to the line
line of reflection is the same as the distance from the point's image to the line of reflection. A reflection can be thought of as a "flipping" of an object over the line of reflection. If you folded the two shapes together line line of
reflection the two shapes would overlap reflection exactly! What happens to points in a Reflection? Name the points of the original triangle. A (2,-3) B (5,-4) C (2,-4)
Name the points of the reflected triangle. A B (5,4) C (2,4) (2,3) is the line of What
reflection? x-axis How did the points change from the original to the reflection? The sign of y switches Interactive Notebooks
Update Table of Contents Pages 27-28 Dilations on the Coordinate Plane Pages 29-30 Congruent Figures vs. Similar Figures Double Bubble Map Pages 31-32 Solving Proportions: Similar Figures Flow Map Interactive Notebooks
Page 2 Make a pocket for the syllabus Page Warm-Up 9.21.17 *15 Minutes* Complete Problems 1, 2, 3, 4, 5, and 6 on using proportional relationships to
find missing side lengths in similar figures. Warm-Up 9.15.17 *15 Minutes* In your Textbook, tear out page M1-82. Answer problems 1 &2 under Stretch *#2- perform a 180 degree rotation around the origin.
Complete Problems 1-4 under Review Bonus points for Problems 5& 6, extra 5 points each!! Homework Review At your table, review your Homework problems on Dilations
and Scale Factor. Homework On the back of your Dilations Skills Practice, complete EVEN Problems only, 10, 12, 14, 16, 18, and 20.
Tomorrow in Class Transformations Jeopardy Standard MGSE8.G.3 Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures
using coordinates. Interactive Notebook Check! Checking to make sure you have completed your Tranformations Tree Map (pages 33-34). (100 points). You should have at least 3-4 facts listed under each of the 4 transformations. Make it colorful! Use this time to review your notes on the 4
transformations. Essential Question How are figures dilated on the coordinate plane? What is similarity? Essential Question How are figures dilated on the coordinate
plane? What is similarity? Homework Tear out Page M1-135 Complete Problem 4 a, b, and c CENTER IS ALWAYS THE ORIGIN (0,0) Homework Check
1. With your group, review homework answers for Problem 4 a, b, and c 2. When finished, glue your homework problems to page 27. (You may have to cut it to make it fit.) 3. Complete problems 1-4 on Dilations Skills Practice. A dilation is a transformation that produces
an image that is the same shape as the differentsize. size. original, but is a different A dilation used to create an image larger larger than the original is called an enlargement. enlargement
A dilation used to create an image smaller smaller than the original is called a reduction. reduction Dilations always involve a change in size.
Notice how EVERY coordinate of the original triangle has been
REVIEW: Answer each question.. Does this picture show a translation, rotation, dilation, or reflection? Rotation
How do you know? Because the image is turned. Does this picture show a translation, rotation, dilation, orDilation
reflection? How do the you Because know? image got bigger.
Does this picture show a translation, rotation, dilation, or reflection? (Line) Reflection How do you know? Because the image flipped over.
Which of the following lettered figures are translations purple arrow of the shape of the purple arrow? Name ALL that apply. Explain your thinking. Letters a, c, and e are translations of the purple
arrow. Has each picture been rotated in a clockwise or counter-clockwise direction? Clockwise CounterClockwise
tessellation Basically, a tessellation is a way to tile a floor (that goes on forever) with shapes so that there is no overlapping and no gaps. Dutch graphic artist M. C. Escher (1898-1972) is
known for his creative use of tessellations in his work. What transformations can you see in this picture? The birds and fish have been translated here. What transformatio
ns can you see in this Escher print? Some birds have been translated and some have been
rotated. Can you name examples in real life of each transformation? Translation Rotation Reflection Dilation
Transformations Tree Map Classifying Transformations (Translations, Reflections, Rotations, Dilations) Under each Sub Catergory, list 3-4 facts. Use your Interactive Notebook and include real-world examples. Transformations Task Cards Your name and your partners name
Date 9/27/17 Class Period Title: Transformations Task Cards 1. Number your paper 1-24. SKIP A SPACE BETWEEN EACH NUMBER Unit 2 Pre-Test 10 questions total (8 multiple choice, 2 constructed response)
You may use your calculator only. 25 minutes 4 Seasons Partners Spring- 2 people (including you) Summer- 2 people (including you) Fall- 3 people (including you) Winter- 4 people (including you)
Warm-Up 10.3.17 In your Interactive Notebook, update your Table of Contents Pages 35-36 Line and Angle Relationships **Glue the Geometry Notes (Line and Angle Relationships) page across pages 35-36. *Begin reviewing these vocabulary words. Work with a partner. Unit 1 Vocabulary (continued)
1. Corresponding Angles- Two angles that have the same position in geometric figures ARE EQUAL 2. Alternate Interior Angles- Two angles that are located between two parallel lines on opposite sides of the transversal. ARE EQUAL 3. Alternate Exterior Angles- Two angles that are located outside two parallel lines on opposite sides of the transversal. ARE EQUAL
4. Same Side Interior Angles- Two angles that are on the same side of the transversal and between the parallel lines. ADD UP TO 180 DEGREES Important Reminders Fall Break October 5-9. This week, we only come to school today, Tuesday, and Wednesday. We will return to school on Tuesday, Oct. 10.
USATestPrep currently unavailable (schoolwide). More information to come regarding testing, assignments. Important Reminders (continued) REVISED SCHEDULE thru Dec. 20
To be Completed 10/4 Complete your foldable on Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, and Same Side Interior Angles. Complete and turn in Centennial Olympic Park Task.
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