Problem 4 Writing a Rule to Describe a Translation
What is a rule that describes the translation
| Know | Need | Plan |
|---|---|---|
| The coordinates of the vertices of both figures | An algebraic relationship between (x, y) and
|
Use one pair of corresponding vertices to find the change in the horizontal direction (x) and the change in the vertical direction (y). |
The translation rule is
Think
How do you know which pair of corresponding vertices to use?
A translation moves all points the same distance and direction. You can use any pair of corresponding vertices.
✓ Got It?
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The translation image of
A composition of transformations is a combination of two or more transformations. In a composition, you perform each transformation on the image of the preceding transformation.
In the diagram below, the field hockey ball can move from Player 3 to Player 5 by a direct pass. This translation is represented by the blue arrow. The ball can also be passed from Player 3 to Player 9, and then from Player 9 to Player 5. The two red arrows represent this composition of translations.
In general, the composition of any two translations is another translation.
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs