1. Holt McDougal Geometry 1-4 Pairs of Angles Find the next item in the pattern. WARM-UP – 1 Pt Effort / 3 Pts Right / +3 for first 3 right

2. Holt McDougal Geometry 1-4 Pairs of Angles a 2 + b 2 = c 2 Distance = √(x 2 -x 1 ) 2 +(y 2 -y 1 ) 2 Midpoint Formula Pythagorean Theorem c b a a 2 = c 2 - b 2

3. Holt McDougal Geometry 1-4 Pairs of Angles Need to make-up Quiz from 9/29: 2 nd Period Brendon Barton Sky Richardson Emmah Sawyer Joshua Storey 3 rd Period Jayson Miles Hunter Smith Brandon Soper Ty’Keese Toole Must take by Friday 10/9/15 or will get 0.

4. Holt McDougal Geometry 1-4 Pairs of Angles Need to make-up 2 Paragraph Essay on Respect: 2 nd Period Eli Bagwell 3 rd Period Mark Clark Rondez Jones Jayson Miles Cody Seigler Brandon Soper Must turn in on 10/8/15 at beginning of class

5. Holt McDougal Geometry 1-4 Pairs of Angles 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.

6. Holt McDougal Geometry 1-4 Pairs of Angles

7. Holt McDougal Geometry 1-4 Pairs of Angles

8. Holt McDougal Geometry 1-4 Pairs of Angles Identify the transformation. Then use arrow notation to describe the transformation. The transformation cannot be a reflection because each point and its image are not the same distance from a line of reflection. 90° rotation, ∆ABC  ∆A’B’C’

9. Holt McDougal Geometry 1-4 Pairs of Angles Identify the transformation. Then use arrow notation to describe the transformation. The transformation cannot be a translation because each point and its image are not in the same relative position. reflection, DEFG  D’E’F’G’

10. Holt McDougal Geometry 1-4 Pairs of Angles Check It Out! Example 1 Identify each transformation. Then use arrow notation to describe the transformation. translation; MNOP  M’N’O’P’ rotation; ∆XYZ  ∆X’Y’Z’ a. b.

11. Holt McDougal Geometry 1-4 Pairs of Angles A figure has vertices at A(1, –1), B(2, 3), and C(4, –2). After a transformation, the image of the figure has vertices at A'(–1, –1), B'(–2, 3), and C'(–4, –2). Draw the preimage and image. Then identify the transformation. Plot the points & connect the image The transformation is a reflection across the y-axis because each point and its image are the same distance from the y-axis.