What Are Some Sample Answers to the Problems in "Discovering Geometry"?

What Are Some Sample Answers to the Problems in "Discovering Geometry"?

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."

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."