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# What are some sample answers to the problems in "Discovering Geometry"?

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One summary problem is, "What geometric shapes do each of these solids [a rectangular pyramid and a cylinder with a cylindrical hole going through it] contain?" A possible answer is, "The solids contain lines, segments, collinear and coplanar points, acute and right angles, triangles, a rectangle and concentric circles."

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Another summary problem from "Discovering Geometry," published by Kendall Hunt, is, "Draw three line segments on a sheet of paper. Duplicate them to make a triangle, if possible." A sample answer to this problem is, "As long as the sum of any two lines is longer than the third, a triangle can be constructed. Constructing several triangles from the same three segments always yields the same triangle, although it may be a mirror image. So, provided that a triangle can be constructed, the triangle is determined."

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## Related Questions

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About.com suggests phone apps like Algebra Genie, Wolfram Algebra Course Assistant, Quadratic Master, and Algebra Boot Camp. Mathway and WebMath are online sites that offer free math answers.

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The University of Chicago's School Mathematics Project has a comprehensive math program for kindergarten through sixth grade that includes answers to Common Core math problems for fourth grade. While there are other great resources available, such as AdaptedMind.com and CommonCoreStandards.org, UCSMP teaching methods are more informed.

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It is unethical to purchase homework answers because it's a falsification of source material. Buying work means that the student has consulted a primary source but hasn't given correct credit or citation to that source. Rather, the student is passing the work off as her own, which is falsification.