Determine the sum of the exterior angles in any polygon.
Construct a triangle that always has the same area as a square.
Find a way to build the largest circular pool in a rhombus-shaped backyard.
Dissect a triangle into four parts so that it can be rearranged into a square.
If the area of a rectangle increases, how much does its length and width increase?
Use the perimeter of a rectangle to determine the area of a square.
If the area of a square increases by a certain amount, how long is an edge of the original square?
Help settle a dispute over land between Squaresville and Centerville.
Can you construct a square that has twice the area of another square?
Given the ratio of a quadrilateral’s length to width, find the ratio of the area of a special shaded region to the area of the quadrilateral.
Find the minimum perimeter for a rectangle with a given area.
What are the dimensions of the largest rectangular pen Ted can make for his pony?
Find the length and width of a rectangle.
Compare a rectangle’s area when its length and width are changed.
Find pairs of triangular numbers whose sum is a square number.
What rectangle can you form that is close in shape to a square?
Find the possible areas of a rectangle that is formed from a larger integral rectangle.
Given the perimeter of a rectangle, find its area.
How far does Paul walk to get a drink of water?
What is the perimeter of a rectangle formed from an equilateral triangle?
Explore the relationship between length and area.
Investigate properties of an isosceles trapezoid.
Construct an equal-sided quadrilateral inside a trapezoid or other quadrilateral.
Determine ways to double the dimensions of quadrilaterals.
Determine the largest area of a quadrilateral for a given perimeter.
Classify a quadrilateral by making measurements in a dynamic construction.
Explore properties of quadrilaterals constructed using the midpoints of the sides of given quadrilaterals.
Explore the properties of the diagonals of various quadrilaterals.
Given two parallel lines, form various quadrilaterals.
Make a triangle from a quadrilateral without changing the area.