Similarity Transformations

Slides:

Advertisements

Similar presentations

Notes Dilations.

Advertisements

Dilations: (Stretching/Shrinking)  Dilations use a scale factor to reduce or enlarge shapes.  Every dilation has a center and a scale factor. Most of.

7-6 Similarity Transformations

Dilations in the Coordinate Plane

RATIOS OF SCALE DRAWINGS. SCALE DRAWINGS SCALE DRAWINGS: A scale drawing is a drawing that represents a real object. The scale of the drawing is the ratio.

Symmetry and Dilations

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 .

Properties of Dilations, Day 2. How do you describe the properties of dilations? Dilations change the size of figures, but not their orientation or.

Dilations Learning Target: I can use a scale factor to make a larger or smaller copy of a figure that is also similar to the original figure.

Unit 7 Lesson 8.7: Dilations

Similarity. DilationA dilation is a transformation that maps every point in a pre-image to another point in an image by enlarging or reducing by a specific.

Dilations in the Coordinate Plane. What is a dilation? A better name is a projection. The hands differ only in size, so dilations produce similar figures.

Transformation Geometry Dilations. What is a Dilation?  Dilation is a transformation that produces a figure similar to the original by proportionally.

All scale drawings must have a scale written on them. Scales are usually expressed as ratios. Normally for maps and buildings the ratio: Drawing length:

9-7 Dilations Holt McDougal Geometry Holt Geometry.

Term Transformation Describe The change in the position of a geometric figure, the pre-image, that produces a new figure called the image Representation.

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

Objective Identify and draw dilations..

A dilation is a transformation that changes the size of a figure but not its shape. The preimage and the image are always similar. A A’

Advanced Geometry Similarity Lesson 1B

Dilations. Transformation – a change in position, size, or shape of a figure Preimage – the original figure in the transformation Image – the shape that.

Dilations Advanced Geometry Similarity Lesson 1A.

Section 8.7 Dilations OBJECTIVE: TO UNDERSTAND DILATION IMAGES OF FIGURES BIG IDEAS:TRANSFORMATIONS COORDINATE GEOMETRY ESSENTIAL UNDERSTANDING: A SCALE.

6.7 – Perform Similarity Transformations A dilation is a transformation that strethes or shrinks a figure to create a similar figure. A dilation is a type.

Chapter 6 Graphing & Describing “Dilations”. Section 1:Congruency transformations vs Similarity transformations. Section 2:Graphing a dilation. Section.

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.

Unit 5-1 Pythagorean Triples and Dilations. Pythagorean Triples  A set of non-zero whole numbers (a, b, and c) such that a 2 + b 2 = c 2  The most common.

6.7: Similarity Transformations Objectives: 1.To use dilations to create similar figures 2.To perform dilations in the coordinate plane using coordinate.

Dilation: a transformation that produces an image that is the same shape as the original, but is a different size. A dilation stretches or shrinks the.

 A transformation is an operation that moves or changes a geometric figure in some way to produce a new figure. The new figure is called the image. Another.

Geometry Section 6.7 Perform Similarity Transformations.

Do Now Find the value of every missing variable:.

Geometry 4-4 Dilations.

7.5; 10-29, / yes 21. yes 22. no 23. yes /2.

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

Dilations in the Coordinate Plane

Lesson 3.4 Core Focus on Geometry Dilations.

State the new coordinates after performing the dilation (3x, 3y).

Dilations: (Stretching/Shrinking)

8.2.7 Dilations.

Y. Davis Geometry Notes Chapter 7.

Warm Up Worksheet .

Y. Davis Geometry Notes Chapter 9.

Transformations.

Dilations: (Stretching/Shrinking)

Dilations: (Stretching/Shrinking)

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

12.7 Dilations.

Similarity, Right Triangles,

6.7 – Perform Similarity Transformations

A figure is turned around a fixed point

Dilations: (Stretching/Shrinking)

Similar Figures Essential Question?

9-6 Dilations 9-7 Similarity Transformations

Students will be able to dilate shapes

05 Dilations on the Coordinate Plane

Similar Figures.

Parts of Similar Triangles

Dilation 8/29/30 Objective: To dilate a figure using a

9-6 Dilations 9-7 Similarity Transformations

Dilations Objective:.

Lesson 7 – 6 Similarity Transformations

4.5 Dilations Dilation – A transformation in which a figure is enlarged or reduced with respect to a fixed point. Scale Factor is the ratio of lengths of.

Investigating Properties of Parallelism and the Center

Similar Figures Essential Question?

Identify and graph dilations

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.

Presentation transcript:

Similarity Transformations Advanced Geometry

Transformation A transformation is an operation that maps an original figure, the preimage, onto a new figure called the image.

Similarity Transformations A dilation is a transformation that enlarges or reduces the original figure proportionally.

Same Shape But Different Size Dilation Same Shape But Different Size

Dilations Dilations are preformed with respect to a fixed point called the center of dilation. The scale factor of a dilation describes the extent of the dilation. The scale factor is the ratio of a length on the image to a corresponding length on the preimage. The letter k usually represents the scale factor of a dilation. The value of k determines whether the dilation is an enlargement or reduction.

Dilation Notation

Location of the center of dilation

Enlargement A dilation with a scale factor greater than 1 produces an enlargement, or an image that is larger than the original figure.

Reduction A dilation with a scale factor between 0 and 1 produces a reduction, or an image that is smaller than the original figure.

Enlargement vs Reduction

What if k = 1?

Example Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor of the dilation.

Example Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor of the dilation.

Example Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor of the dilation.

Example The dimensions of a regulation tennis court are 27 feet by 78 feet. The dimensions of a table tennis table are 152.5 centimeters by 274 centimeters. Is a table tennis table a dilation of a tennis court? If so, what is the scale factor? Explain.

Work backwards to find the center of dilation, and also determine the scale factor.

Work backwards to find the center of dilation, and also determine the scale factor.