Unit 2, Lesson 2
Circular Grid
Grade 8
2.1
Warm-up
Notice and Wonder: Concentric Circles
What do you notice? What do you wonder?
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What do you notice? What do you wonder?
Here are two circles drawn on a circular grid with point
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Here is a polygon
Quadrilateral E F G H, center point Q and ray Q E on a circular grid. Point H is to the lower left on circle 3, point E is the upper left on circle 3, point F is the upper right on circle 6 and point G is lower right on circle 9. Point A is on circle 1 on ray Q E.
Dilate polygon
A dilation is a transformation in which each point on a figure moves along a line and changes its distance from a fixed point, called the center of dilation.
All of the original distances are multiplied by the same scale factor.
In this diagram,
Each point of triangle
Since the circles on a circular grid are the same distance apart, we can simply count units from the center to a given point and use the scale factor to determine where the new point should be located, making the circular grid useful for performing dilations.
A dilation is a transformation that can reduce or enlarge a figure. Each point on the figure moves along a line closer to or farther from a fixed point. That fixed point is the center of the dilation. All of the original distances are multiplied by the same scale factor.
Triangle
Every point of triangle
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