2.7 Dilations Essential Question: How do you dilate a figure to create a reduction or enlargement?

Slides:

Advertisements

Similar presentations

Lesson 7.5 Dilations.

Advertisements

Adapted from Walch Education Investigating Scale Factors.

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

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.

Dilations Chapter 4-8.

Symmetry and Dilations

Transformations: Dilations Math 8 Ms. Stewart COPY SLIDES WITH A PENCIL ICON.

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.

Eighth Grade Unit 1 Transformations. Warm Up Homework Check.

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.

Surface Area and Volume

Warm Up Simplify each radical Find the distance between each pair of points. Write your answer in simplest radical form. 4. C (1, 6) and.

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

Dilations in the Coordinate Plane

NAME:__________________________

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’

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

EXAMPLE 1 Draw a dilation with a scale factor greater than 1

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

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

Translations Lesson 6-1.

Dilations MCC8.G.3 Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.

8.7 Dilations Geometry. Dilation:  A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

A dilation is when the figure either gets larger (enlargement) or smaller (reduction). =

Enlargement  To perform an enlargement we need two pieces of information.  The Scale Factor…  … and the centre of enlargement.  Enlargement doesn’t.

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.

Lesson 11.1 ADV: 1.Homework Discussion 2.Similar Polygons 3.Dilations.

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.

TRANSFORMATIONS,CONGRUENCE, & SIMILARITY

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

Warm Up – Tuesday, August 19th

Dilations in the Coordinate Plane

Warm Up Simplify each radical.

Analytic Geometry Lesson 1 Mr. Lohuis

Notes 49 Dilations.

7.6 ESSENTIAL QUESTION How do you identify and draw dilations?

Dilations: (Stretching/Shrinking)

8.2.7 Dilations.

Dilations: (Stretching/Shrinking)

Dilations: (Stretching/Shrinking)

12.7 Dilations.

Enlargements and area Scale factor Area of object Area of image.

Dilations: (Stretching/Shrinking)

Dilation Definition of Dilation

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

9-5: Dilations.

Students will be able to dilate shapes

Testing Pick up your homework on the table. 2. Grab a computer and log in 3. Wait at the desktop Test Code:

Dilations Objectives:

05 Dilations on the Coordinate Plane

Day 84 – Enlargement.

4.5 Vocabulary dilation center of dilation enlargement reduction

Parts of Similar Triangles

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

Dilations Objective:.

Identify and graph dilations

11.7 Dilations/Rotation Objective: Students will be able to explain if a figure’s dilation will be an increase or decrease based on the scale factor.

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:

UNIT 1B REVIEW Triangle Theorems, dilations, congruence, Parallel lines cut by a transversal.

Presentation transcript:

2.7 Dilations Essential Question: How do you dilate a figure to create a reduction or enlargement?

Dilation = Decrease OR increase Changes the size, but not the shape, of a figure. Dilation = Decrease OR increase Pre-Image and Image must be proportional Therefore, they are “_ _ _ _ _ _ _”

To Decrease size of figure: Steps to Dilate a Figure: To Decrease size of figure: Multiply each coordinate (x and y) by a scale factor smaller than 1 (example: multiply by 1 4 ) To Increase size of figure: Multiply each coordinate (x and y) by a scale factor larger than 1 (example: Multiply by 4)

Example 1 The vertices of a triangle are A (1, 3), B (3, 3), and C (1, 5). Draw the figure and its image after a dilation with the scale factor of 2 (k = 2). Identify the type of dilation: ________________________________

Example 2 The vertices of a triangle are A (3, 9), B (9, 6), and C (6, 3). Draw the figure and its image after a dilation with the scale factor of 1 3 (k = 1 3 ). Identify the type of dilation: ________________________________

Example 3 The vertices of a rectangle are A (2, 4), B (2, -4), C (-2, -4) and D (-2, 4). Draw the figure and its image after a dilation with the scale factor of ______. (k = _______ ) Identify the type of dilation: ________________________________ Pre- Image Vertices Scale Factor of 𝟏 𝟐 Image Vertices A (2, 4) B (2, -4) C (-2, -4) D (-2, 4)