- classifying types of triangles
- comparing side lengths
- comparing angle measures
- differentiating between regular and irregular polygons
- analyzing for congruence.
[C, CN, R, V]
(a) |
Observe examples of polygons, including triangles, found in situations relevant to self, family, or community and sort the polygons into irregular and regular polygons. |
(b) |
Analyze the types of triangles (scalene, isosceles, equilateral, right, obtuse, and acute) to determine which, if any, represent regular polygons. |
(c) |
Compare two regular polygons (using superimposing or measuring) to determine whether or not the two polygons are congruent. |
(d) |
Analyze a set of regular polygons and a set of irregular polygons to identify the characteristics of regular polygons. |
(e) |
Critique the following statement: "When viewed from different perspectives, the same triangle can be classified in different ways." |
(f) |
Draw and classify examples of different types of triangles (scalene, isosceles, equilateral, right, obtuse, and acute) and explain the reasoning. |
(g) |
Replicate a polygon in a different orientation and informally prove that the new polygon is congruent and explain the reasoning. |