Math Problem Statement
Ch+7.1+HW+WS+.pdf
95.02 KB
solve these questions please
Solution
Let's go over the problems in your worksheet step by step. These problems involve applying a dilation transformation, where the figure is enlarged or reduced by a specific scale factor relative to the origin.
1. Dilation of 1.5 about the origin
You will multiply the coordinates of each vertex by the dilation factor 1.5.
For example, if a vertex is at , the new coordinates after dilation will be .
2. Dilation of about the origin
Multiply each vertex’s coordinates by or 2.5.
3. Dilation of about the origin
Multiply each vertex’s coordinates by or 0.5.
4. Dilation of 0.25 about the origin
Multiply each vertex’s coordinates by 0.25.
5. Dilation of 2 about the origin
Multiply each vertex’s coordinates by 2.
6. Dilation of 2.5 about the origin
Multiply each vertex’s coordinates by 2.5.
For the transformations below, let's find the new coordinates of the vertices.
11. Dilation of 2.5 about the origin
Vertices: I(-2, -1), J(-2, 2), K(2, 1)
12. Dilation of 2 about the origin
Vertices: T(-1, -1), U(0, 1), V(1, 0), W(1, -1)
13. Dilation of about the origin
Vertices: Y(-2, 0), X(2, 2), W(1, -2)
14. Dilation of 5 about the origin
Vertices: Y(1, -1), X(0, 1), W(1, 1)
Would you like more details on any specific question? Here are some relative questions:
- How do you determine the scale factor for dilation transformations?
- How do you handle negative coordinates in dilations?
- What is the general effect of a dilation with a factor greater than 1 versus less than 1?
- How can you graphically represent dilation transformations?
- What are the differences between dilation and other transformations like translation or rotation?
Tip: Always double-check your new coordinates after a dilation by comparing the distance from the origin; it should increase or decrease according to the scale factor!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Dilation Transformations
Coordinate Geometry
Formulas
New Coordinates = Scale Factor × Original Coordinates
Theorems
Dilation Theorem: Dilation multiplies the distance of every point from the origin by the same factor.
Suitable Grade Level
Grades 7-9