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Magazine Problem 1
Make a conjecture about how the area of a trapezoid changes if the lengths of its bases and altitude are doubled.
Problem 1
Draw a concave quadrilateral. Explain why it is concave.
Problem 1
Explain how to find the interior angle measure of an \(n\)-sided regular polygon.
Problem 1
Draw a square with 8-inch sides on a sheet of notebook paper. Cut out the figure. How many different ways can you fold the square so that the fold line is a line of symmetry?
Problem 1
Write a sentence that describes the relationship between the number of significant digits in measures of a regular polygon and the number of significant digits in the measure of its area.
Problem 1
Find examples of tessellations in nature, in magazines, or on the Internet. a. Tell whether the tessellations are regular, semi-regular, or neither. b. Explain which transformations can be used to create the tessellations.
Problem 2
Draw a polygon that has line symmetry but not rotational symmetry. Then describe how you could change the figure so that it has rotational symmetry.
Problem 2
Determine whether the following statement is true or false. Explain. If the lengths of the sides of a regular polygon are doubled, then its area is also doubled.
Problem 2
Find a counterexample to the following statement. An exterior angle measure of any convex polygon can be found by dividing 360 by the number of interior angles.
Problem 3
Describe how to locate the center of an equilateral triangle, a square, a regular pentagon, and a regular hexagon.
