Geometry of Triangles
These resources offer online opportunities to explore the geometry of triangles.
From ideas of congruence to reflections to relationships among the triangle’s angles and sides.
Interactive Geometry Websites
Congruence - Using virtual manipulatives, students can arrange sides and angles to construct congruent triangles using Congruence of Triangles.
Angles - This interactive problem solving exploration of triangles begins at the beginning—with angles and their classification. Students can practice their understanding and then move on to construct triangles and consider the sum of the angles of any triangle. Finally, they explore the special relationship among the sides of a right triangle—the Pythagorean theorem, demonstrated here through a Java slide show using Geometry of Angles.
Equilateral - Students learn the theorems of triangle congruence using a challenging problem solving application. Here students are presented with an intricate figure showing two overlapping equilateral triangles. Because this resource is an applet, students can rotate the figure and easily see that two triangles in the figure are congruent. The challenge is to prove the triangles are congruent using Two Equilateral Triangles.
Transformation and Reflection - Students can manipulate one of six geometric figures on one side of a line of symmetry and observe the effect on its image on the other side. A triangle may be selected and then translated and rotated. The line of symmetry can be moved as well, even rotated, giving more hands-on experience with reflection as students observe the effect on the image of the triangle using Transformations and Reflection.
Tags: geometry, interactive math website, problem solving, triangles
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