The goal of using circle grid strain analysis is to predict potential problems before they become problems. By measuring the longest part of the ellipse (called the “major strain”) and the shortest part of the ellipse (called the “minor strain”), it is possible to determine how close any stamped part is to splitting or fracturing. After the part is formed, the circles have been stretched into ellipses. Literally, a grid of circles of known diameter is etched to the surface of the sheet metal to be formed. The name itself is a fairly accurate description of the process.
GRIDDED CIRCLE DOWNLOAD
The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics. Is there a triangle with these three angle measures? Explain. The line has been partitioned into three angles.Describe a rigid transformation that you could use to show the polygons are congruent.Measure the longest side of each of the three triangles. Draw the triangle connecting the three new points.Ĭ. Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of 1/2. Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of 2.ĭraw the triangle connecting the three new points.ī.
Plot a point that the dilation takes to Q.Ī. Plot where P goes when the dilation is applied.ī. Point O is the center of dilation, and the dilation takes Circle c to Circle d.Ī. (You may need to draw more rays from Q in order to find the images of other points.) The image of F is already shown on the diagram.
Dilate polygon EFGH using Q as the center of dilation and a scale factor of 1/3.Mixed cellulose ester, WME range, circles, gridded. Lesson 2.4 A Quadrilateral and Concentric Circles Mixed Cellulose Ester Circle WME Range, gridded, white/black grid 3.1 mm, 0.45 m pore size, 47 mm. Experiment using a circular grid to make predictions about whether each of the following statements must be true, might be true, or must be false. Let YZ be the dilation of line segment WX using P as the center with scale factor 2. Suppose P is a point not on line segment WX. What do you notice about this new polygon?.Dilate each vertex of polygon ABCD using P as the center of dilation and a scale factor of.Choose a few more points on the sides of the original polygon and transform them using the same dilation.What are some things you notice about the new polygon?.Draw segments between the dilated points to create a new polygon.Dilate each vertex of polygon ABCD using P as the center of dilation and a scale factor of 2.What is the scale factor that takes the smaller circle to the larger circle? Explain your reasoning. Measure the distances between pairs of points by selecting the Distance tool, and then clicking on the two points. In the row labeled L, write the distance between P and the corresponding point on the larger circle in grid units. In the row labeled S, write the distance between P and the point on the smaller circle in grid units. Mark the intersection points of the rays and circle d by selecting the Intersect tool and clicking on the point of intersection.Select the Ray tool, then point, and then the second point. Draw the rays from through each of those four points.Draw four points on the smaller circle using the Point on Object tool.The larger circle d is a dilation of the smaller circle c.
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