Agenda 02.11.11 Warm Up/Reflection Questions from HW? Ch 8.8 Similarity and Dilations Making Faces Project (Due Monday)

Slides:

Advertisements

Similar presentations

CCSSM Stage 3 Companion Text

Advertisements

12.6 Rotations and Symmetry Rotation- a transformation in which a figure is turned around a point Center of rotation- the point the figure is rotated around.

Warm Up A figure has vertices A, B, and C. After a transformation, the image of the figure has vertices A′, B′, and C′. Draw the pre-image and the image.

(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.

Transformations on the Coordinate Plane

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Dilation Rotation Trans- Lation/refle ction Angle of polygons More Angle pairs Angle Word problems Angle pairs

2.7: Dilations.

Dilations Section 9.7. Dilation A dilation is a transformation that stretches or shrinks a figure to create a similar figure. A dilation is not an isometry.

Warm Up Worksheet .

Congruence and Transformations

Objectives Define and draw lines of symmetry Define and draw dilations.

Algebraic Representations of Transformations Day 2

Transformations A rule for moving every point in a figure to a new location.

An operation that moves or changes a geometric figure (a preimage) in some way to produce a new figure (an image). Congruence transformations – Changes.

Congruence and Transformations

 Answer the following in complete thought sentences.  You can use your notes from the other day.  What happens to the side lengths, perimeter and area.

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

Chapter 12.  For each example, how would I get the first image to look like the second?

Identifying Combined Transformations 5-8 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

Translations Translations maintain Same Size Same Shape

REVIEW. To graph ordered pairs (x,y), we need two number lines, one for each variable. The two number lines are drawn as shown below. The horizontal number.

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.

Lesson 2.7 Objective: To complete dilations on a coordinate plane.

11-19 S 6.7: Perform Similarity Transformations. Review: Transformations: when a geometric figure is moved or changed in some way to produce a new figure.

Warm Up A figure has vertices A, B, and C. After a transformation, the image of the figure has vertices A′, B′, and C′. Draw the pre-image and the image.

1-7 transformations on the coordinate plane

1. Have your homework out to be stamped. 2. Complete the next 2 sections of your SKILL BUILDER.

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.

Dilation OF A POLYGON. A TRANSFORMATION IN WHICH A POLYGON MAINTAINS ITS SHAPE BUT IS ENLARGED OR REDUCED BY A GIVEN FACTOR AROUND A CENTER POINT. AN.

TRANSFORMATIONS. DEFINITION  A TRANSFORMATION is a change in a figure’s position or size.  An Image is the resulting figure of a translation, rotation,

Congruence and Transformations

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.

Coordinate Planes and Transformations. Points on the Coordinate Plane The coordinate plane is made up of two number lines that intersect at right angles.

Learning Objectives To draw transformations of reflections, rotations, translations and combinations of these using graph paper, transparencies, and /or.

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.

Translation Symmetry (Sliding).

Warm Up A figure has vertices A, B, and C. After a transformation, the image of the figure has vertices A′, B′, and C′. Draw the pre-image and the image.

12-7 Dilations Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

Congruence and Transformations

Plotting Points and Transformations

Warm-up Test Review.

Congruence and Transformations

Warm-Up How many lines of symmetry do the figures have? Draw them!

Warm Up Worksheet .

Dilations Teacher Twins©2014.

Transformations Learning Target: I will be able to translate, reflect, rotate, and dilate figures.

Congruence and Transformations

6.7 – Perform Similarity Transformations

Congruence and Transformations

Congruence and Transformations

Enlarge the figure by a scale factor of 2 from the origin.

12-7 Dilations Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

Do Now! Find the value of x..

Algebraic Representations of Transformations

5-6 Dilations Course 3 Warm Up Problem of the Day Lesson Presentation.

Congruence and Transformations

Unit 1 Transformations in the Coordinate Plane

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Choose the correct translation from pre-image to image B

Transformations Translation Reflection The FRAME Routine

Geometric Transformations

Unit 1 Transformations in the Coordinate Plane

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Dilations A dilation is a transformation that changes the size but not the shape of an object or figure. Every dilation has a fixed point that is called.

Page 7 Original Expression: Step 1: Step 2: Step 3:

Congruent Figures Day 2.

Presentation transcript:

Agenda Warm Up/Reflection Questions from HW? Ch 8.8 Similarity and Dilations Making Faces Project (Due Monday)

Warm Up Graph the following points to create triangle ABC. A (1, 2) B (4, 1) C (2, 4) Now, complete the following transformations: Reflect across the x-axis Translate 8 units left and 6 units down Rotate 90º counterclockwise

Similarity and Dilations Chapter 8.8

Similar Polygons: have the same shape, but can be different sizes Dilation: stretches or shrinks a figure. The image created is similar to the original figure Distortion: scales the figure in one dimension, leaving the other dimension the same

TASK #1 Place a sheet of graph paper over the face parts worksheet, and trace the desired parts to make a face Place letters along the width and numbers along the length of the graph paper to provide reference coordinates for each cell of the face. Create the face

TASK #1

TASK #2 Enlarge the face To do this, you will double the width and length of the cells of the face.

You will need to copy each cell’s content form the original into the appropriate cell of the enlargement. (What is in cell D3 of original will go in cell D3 of enlargement, it will just be much larger) TASK #2

TASK #3 Distort the face To distort the face, you will scale up one dimension, and leave the other dimension the same. Please scale the one dimension by 3 or 4.

TASK #3

To Recap: Task #1: Draw the face (one box for each dimension) Task #2: Enlarge the face (two boxes for each dimension) Task #3: Distort the face (one box for each on one dimension, three boxes for each on the other dimension) When you are done, color in the faces. Note: each face should be on a separate piece of graph paper.