Session 2 Coordinate Plane 1 7 Transformations in

Session 2 Coordinate. Plane 1 -7 Transformations in in the Coordinate Lesson 1 Transformations Warm Up Lesson Presentation Lesson Quiz Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Warm Up 1. Draw a line that divides a right angle in half. 2. Draw three different squares with (3, 2) as one vertex. 3. Find the values of x and y if (3, – 2) = (x + 1, y – 3) x = 2; y = 1 Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Warm Up 4. Write your name on the postic. Place the paper flat on your desk. A. Without lifting the paper, move the paper to make your name appear upside down. Describe what you did. B. Without lifting the paper, move the paper so your name appears closer to the edge of your desk. Describe what you did. C. Imagine holding the paper up to a mirror. Describe how your name appears in the mirror. Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Objectives Identify reflections, rotations, and translations. Graph transformations in the coordinate plane. Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Vocabulary transformation preimage prime notation translation Holt Mc. Dougal Geometry reflection rotation dilation

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 The Alhambra, a 13 th-century palace in Grenada, Spain, is famous for the geometric patterns that cover its walls and floors. To create a variety of designs, the builders based the patterns on several different transformations. Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane A transformation is a change in the position, size, or shape of a figure. The original figure is called the preimage. The resulting figure is called the image. A transformation maps the preimage to the image. Arrow notation ( ) is used to describe a transformation, and primes (’) are used to label the image. Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 To find coordinates for the image of a figure in a translation, add a to the x-coordinates of the preimage and add b to the y-coordinates of the preimage. Translations can also be described by a rule such as (x, y) (x + a, y + b). Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 A dilation enlarges or reduces all dimensions proportionally. A dilation with a scale factor greater than 1 is an enlargement, or expansion. A dilation with a scale factor greater than 0 but less than 1 is a reduction, or contraction. Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Helpful Hint Unless otherwise stated, all rotations are counterclockwise. Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Holt Mc. Dougal Geometry

1 -7 Transformations in the Coordinate Plane Session 2 Lesson 1 Holt Mc. Dougal Geometry