Bellwork 1)Describe what this transformation will do to a figure: (x, y)  (x + 6, y – 7) 2)Describe what this transformation will do to a figure: (x,

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Presentation transcript:

Bellwork 1)Describe what this transformation will do to a figure: (x, y)  (x + 6, y – 7) 2)Describe what this transformation will do to a figure: (x, y)  ( x, - y) 3)Which of these is NOT a rigid motion: dilation, reflection, rotation, or translation?

9-1 Reflections Rigor – Students will correctly reflect images over a given line of reflection and understand the definition of a reflection Relevance – Reflections describe rigid motion

Exploration activity into reflections 1.Turn in your core book to pg 369 example 1 and follow the instructions in the bullets to reflect the triangle and quadrilateral. Use scratch paper or tracing paper. 2.Draw a segment connecting corresponding vertices of the pre-image and image. 3.Measure the distance along that segment from each vertex to the line of reflection in centimeters. What do you notice?

Reflection defined  A reflection is a rigid transformation so that the line of reflection is a perpendicular bisector for the segments connecting each pre-image point to its corresponding image.

Example: Problem Solving A trail designer is planning two trails that connect campsites A and B to a point on the river. He wants the total length of the trails to be as short as possible. Where should the trail meet the river?

Anyone See a Pattern?  Reflect ∆ 3 times: across the x-axis, y-axis, and the line y = x.  How are the coordinates of the images related to the coordinates to the pre-image? A B C

Function Notation for Reflections

Examples  Core book pg 370 examples 2  Core book pg 372 #4  Core book pg 373 #  Reflections worksheet: Resource Page  For the last problem, reflect y = x over the line y = x.  THIS WORKSHEET WILL BE A CLASSWORK GRADE

Reflection Methods Recap: On graph paper 1.Draw line of reflection 2.Count horizontal/vertical spaces from the vertex to the line of reflection 3.Count the same number of spaces on the other side of the line of reflection and plot the image Tracing Paper  Directions are on pg369 of your workbook Construction  Directions are on pg370 of our workbook Special Function Rules  Used for reflections across the x-axis, y-axis, and y=x

9-1 Assignment From the Workbook  pg 375 #5, 6, 8 – 11  pg 376 #1, 3 – 7  Use a straight edge  Due Thursday for periods 1, 5, & 7  Due Friday for periods 2, 4, & 6