12.7 Dilations.

Slides:

Advertisements

Similar presentations

Adapted from Walch Education Investigating Scale Factors.

Advertisements

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

Notes Dilations.

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

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.

Transformations on the Coordinate Plane

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’

Dilations Lesson 6.7.

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.

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

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

9-7 Dilations Holt McDougal Geometry Holt Geometry.

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

Holt McDougal Geometry 7-2 Similarity and Transformations 7-2 Similarity and Transformations Holt GeometryHolt McDougal Geometry.

Similarity Transformations

Dilations in the Coordinate Plane

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.

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

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.

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

GEOMETRY HELP Circle A with 3-cm diameter and center C is a dilation of concentric circle B with 8-cm diameter. Describe the dilation. The circles are.

CONGRUENCE AND TRANSFORMATIONS (GET GRAPH PAPER WHEN YOU ENTER CLASS) SECTION 4.4.

Lesson 9-7 Dilations Rigor: Dilate figures on and off a coordinate plane, calculate the scale factor of a dilation Relevance – Optometry, art, graphic.

Dilations 9-7 Warm Up Lesson Presentation Lesson Quiz

Dilations 6-7 Warm Up Lesson Presentation Lesson Quiz

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

Entry Task 1. Translate the triangle with vertices A(2, –1), B(4, 3), and C(–5, 4) along the vector. 2. Given the points (-3,2) and (6,-1) reflect them.

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.

2.2: Translations.

Congruence and Transformations on the coordinate plane

Geometry 4-4 Dilations.

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

Warm Up – Tuesday, August 19th

Dilations in the Coordinate Plane

Notes 49 Dilations.

8.2.7 Dilations.

Dilations 9-7 Warm Up Lesson Presentation Lesson Quiz

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

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

6.7 – Perform Similarity Transformations

9-5: Dilations.

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

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

D. This figure does not have line symmetry.

Class Greeting.

Students will be able to dilate shapes

9.1: Reflections.

05 Dilations on the Coordinate Plane

Unit 4 Transformations.

Lesson 4-4 Dilations Obj: The student will be able to identify and create dilations of plane figures HWK: p all Vocab: 1) dilation 2) center of.

4.5 Vocabulary dilation center of dilation enlargement reduction

Parts of Similar Triangles

Dilations Objective:.

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

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.

Objective Identify and draw 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.

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

Presentation transcript:

12.7 Dilations

Dilations Dilation: A transformation that changes the size of a figure, but not the shape. The image and the preimage are similar

Examples: Tell whether each transformation appears to b a dilation. Explain.

Examples: Tell whether each transformation appears to be a dilation. Explain.

Dilations: For a dilation with scale factor k, if k > 0, the figure is not turned or flipped. If k < 0, the figure is rotated by 180°.

Dilations:

Enlargements/Reductions Enlargement: (expansions) enlarges all dimensions proportionally. A dilation with a scale factor greater than 1. Reduction: (contraction) reduces all dimensions proportionally. A dilation with a scale factor greater than 0, but less than 1.

Examples: On a sketch of a flower, 4 in. represent 1 in. on the actual flower. If the flower has a 3 in. diameter in the sketch, find the diameter of the actual flower.

Examples: An artist is creating a large painting from a photograph into square and dilating each square by a factor of 4. Suppose the photograph is a square with sides of length 10 in. Find the area of the painting.

Dilations In The Coordinate Plane

Negative Dilations If the scale factor of a dilation is negative, the preimage is rotated by 180°.

Examples: Draw the image of the triangle with vertices P(-4, 4), Q(-2, -2), and R(4, 0) under a dilation with a scale factor of centered at the origin.

Examples: Draw the image of the triangle with vertices R(0, 0), S(4, 0), T(2, -2), and U(–2, –2) under a dilation centered at the origin with a scale factor of .

Examples: A rectangle on a transparency has length 6 cm and width. On the transparency 1 cm represents 12 cm on the projection. Find the perimeter of the rectangle in the projection.

Examples: Draw the image of the triangle with vertices E(2, 1), F (1, 2) and G(-2, 2) under a dilation with a scale factor of -2 centered at the origin.