HG Quadrilaterals
Table of Contents
- Module 11 Quadrilaterals
- Rhombus Exploration
- Rectangle Exploration
Rhombus Exploration
[size=100][size=150][size=200]In this activity you will make observations of the properties of rhombi. Move the blue points to create other rhombi to test each of your conjectures. [/size][/size][/size]
Make a conjecture about the sides of a rhombus.
Click [b]Show Segments[/b]. What do you notice about the length of each side of the rhombus? Move one of the blue points to verify your conjecture.
Make a conjecture about the angles angles of a rhombus.
Click [b]Show Angles. [/b]What do you notice about the opposite angles of the rhombus? Move the blue points to verify your conjecture.
Make a conjecture about the diagonals of a rhombus.
Click [b]Show Diagonals with Lengths. [/b]What do you notice about the lengths of the diagonals? Move the blue points to verify your conjecture.
Make a conjecture about the angles formed by the diagonals.
Click [b]Show Diagonals with Angles. [/b]What do you notice about the angles formed by the diagonals? Move the blue points to verify your conjecture.
What makes a parallelogram a rhombus?
A rhombus is a parallelogram, therefore it will have all the same properties as a parallelogram. What makes a rhombus stand out from other parallelograms? (There are three properties all rhombi have that not all parallelograms will have.)
Rectangle Exploration
Exploring Properties of Rectangles
In this activity you will make observations of the properties of rectangles. Move point C to create other rectangles to test each of your conjectures.
Make a conjecture about the measures of the opposite sides of a rectangle.
Click [b]Side lengths[/b]. What do you notice about the opposite sides of the rectangle? Move point C to verify your conjecture.
Make a conjecture about the measures of the opposite and consecutive angles of a rectangle.
Click [b]Interior angles.[/b] What do you notice about the [b]opposite angles[/b] of the rectangle? What do you notice about thesum of the [b]consecutive angles[/b] of the rectangle? Move point C to verify your conjecture.
Make a conjecture about the diagonals of the diagonals of a rectangle.
Click [b]Diagonal lengths.[/b] What do you notice about the lengths of the diagonals of the rectangle? Move point C to verify your conjecture.
What makes a parallelogram a rectangle?
A rectangle is a parallelogram, therefore it will have all the same properties as a parallelogram. What makes a rectangle stand out from other parallelograms? (There are two properties all rectangles have that not all parallelograms will have.)[br][br][br]