5.3 Exploring Properties of Triangles and Quadrilaterals
3rd to 5th
This e-example allows students to observe the properties of triangles and quadrilaterals by manipulating the sides, angles, and type.
Any one shape can be rotated and resized by clicking and dragging one of the vertices.
- What is alike about all the figures produced by the dynamic rectangle?
- What is alike about all the figures produced by the dynamic parallelogram?
- What common characteristics do parallelograms and rectangles share?
- How do rectangles differ from other parallelograms?
- Can the dynamic rectangle make all the shapes that the dynamic parallelogram can make?
- Can the dynamic parallelogram make all the shapes that the dynamic rectangle can make?
- Describe how to decide if the dynamic rectangle can make a particular shape.
- Describe how to decide if the dynamic parallelogram can make a particular shape.
NCTM Standards and Expectations
- Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.