 Exploring Properties of Triangles and Quadrilaterals

• ## 5.3 Exploring Properties of Triangles and Quadrilaterals

Grade: 3rd to 5th

This e-example allows students to observe the properties of triangles and quadrilaterals by manipulating the sides, angles, and type.

### Instructions

Any one shape can be rotated and resized by clicking and dragging one of the vertices.

### Exploration

• 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.

### Objectives and Standards

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.
• 3-5
• Geometry