Chapter 7 Transformations.

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Presentation transcript:

Chapter 7 Transformations

Section 1 Rigid Motion in a Plane

GOAL 1: Identifying Transformations

Example 1: Naming Transformations Use the graph of the transformation at the right. Name and describe the transformation. Name the coordinates of the vertices of the image. Is ∆ABC congruent to its image?

Example 2: Identifying Isometries Which of the following transformations appear to be isometries?

Example 3: Preserving Length and Angle Measure In the diagram, ∆PQR is mapped onto ∆XYZ. The mapping is a rotation. Given that ∆PQR  ∆XYZ is an isometry, find the length of XY and the measure of <Z.

GOAL 2: Using Transformations in Real Life Example 4: Identifying Transformations You are assembling pieces of wood to complete a railing for your porch. The finished railing should resemble the one below. How are pieces 1 and 2 related? pieces 3 and 4? In order to assemble the rail as shown, explain why you need to know how the pieces are related.

Example 5: Using Transformations Building a Kayak: Many building plans for kayaks show the layout and dimensions for only half of the kayak. A plan of the top view of a kayak is shown below. What type of transformation can a builder use to visualize plans for the entire body of the kayak? Using the plan above, what is the maximum width of the entire kayak?

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