Coordinate Rules for Dilations (Centered at Origin)
When performing a dilation on a coordinate grid where the Center of Dilation is the origin (0,0), the rule is the easiest of all transformations: simply multiply both the x and y coordinates of every vertex by the scale factor k. This concept is part of Big Ideas Math, Course 2, Accelerated for Grade 7 students, covered in Chapter 1: Transformations.
Key Concepts
Property When performing a dilation on a coordinate grid where the Center of Dilation is the origin (0,0), the rule is the easiest of all transformations: simply multiply both the x and y coordinates of every vertex by the scale factor k.
Rule: (x, y) → (kx, ky).
Examples Enlargement on Grid: Dilate point A( 3, 5) with a scale factor of k = 2. New x: 3 2 = 6 New y: 5 2 = 10 Image: A'( 6, 10) Reduction on Grid: Triangle JKL has a vertex at J(4, 8). Dilate it by k = 1/2. New x: 4 (1/2) = 2 New y: 8 (1/2) = 4 Image: J'(2, 4).
Common Questions
What is Coordinate Rules for Dilations (Centered at Origin) in accelerated middle school math?
When performing a dilation on a coordinate grid where the Center of Dilation is the origin (0,0), the rule is the easiest of all transformations: simply multiply both the x and y coordinates of every vertex by the scale factor k.
Why is Coordinate Rules for Dilations (Centered at Origin) an important concept in Grade 7 math?
Coordinate Rules for Dilations (Centered at Origin) builds foundational skills in accelerated middle school math. Mastering this concept prepares students for more complex equations and higher-level mathematics within Chapter 1: Transformations.
What grade level is Coordinate Rules for Dilations (Centered at Origin) taught at?
Coordinate Rules for Dilations (Centered at Origin) is taught at the Grade 7 level in California using Big Ideas Math, Course 2, Accelerated. It is part of the Chapter 1: Transformations unit.
Where is Coordinate Rules for Dilations (Centered at Origin) covered in the textbook?
Coordinate Rules for Dilations (Centered at Origin) appears in Big Ideas Math, Course 2, Accelerated, Chapter 1: Transformations. This is a Grade 7 course following California math standards.