Refer to the GeoGebra Pick's Formula investigation to answer question #1.
https://www.geogebra.org/m/maqtqkev
Question 1
1.
Pick's Formula
The area of irregular figures can be calculated using which formula?
A lattice point is the point of intersection of two or more grid lines.
Area is defined as the size of the interior of a figure measured in square units. Some units may include:
The formula for area of a rectangle, A = bh, is derived(produced or generated) in your online textbook on p. 410. Use this information to answer the following question.
Question 2
2.
How does placing a rectangle on a grid help to derive the formula for a rectangle? Draw a rectangle in the Show Your Work section and label the dimensions b and h.
Use the GeoGebra Area of Triangles and Special Quadrilaterals to answer questions #2-6.
https://www.geogebra.org/m/vv2wzvtx
Question 3
3.
Parallelogram
The area formula for a parallelogram is A = bh.
Label the dimensions b and h on the figure in the Show Your Work section.
Question 4
4.
Triangle
The formula for area of a triangle is
Label the dimensions b and h for each triangle in the Show Your Work Section.
Question 5
5.
Trapezoid
The area formula for a trapezoid is
Label each of the dimensions h and b1 and b2 on the figure in the Show Your Work section.
Question 6
6.
Kite
The area formula for a kite is
Label the dimensions d1 and d2 on the figure in the Show Your Work section.
Question 7
7.
Based on the square's position in the Quadrilateral Hierarchy, which of these formulas could be used to calculate the area of a square? Check all that apply.
Refer to the GeoGebra Area of Circles and Regular Polygons investigation to answer questions #8-10.
https://www.geogebra.org/m/vcavpkrj
Question 8
8.
Circumference
Circumference, C, is the distance around a circle. Since the diameter is twice the radius, there are two formulas for circumference.
Label the dimensions, r and d, on the circle in the Show Your Work section.
Question 9
9.
Circle
The formula for area of a circle is
What is the area of the given circle "in terms of pi?" (See the Show Your Work section)
Question 10
10.
Regular Polygons
The area formula for a regular polygon is
a = the length of the apothem
P = perimeter of the polygon
Label the regular polygons with these dimensions, a and p.
Refer to the GeoGebra Area of Sector, Annulus & Segment investigation to answer question #11.
https://www.geogebra.org/m/gancskts
Question 11
11.
Match each formula with the appropriate region.
Draggable item
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Corresponding Item
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Refer to GeoGebra Surface Area to answer questions #12-15.
https://www.geogebra.org/m/tw2yw8vs
Question 12
12.
Prism
Which is the correct formula for surface area(SA) of a prism? Label the dimensions, p and h for each figure and use the text box to write the formula that would be used to calculate B(base area) in the Show Your Work section.
B = area of the base
p = perimeter of the base
h = height of the 3D figure
Question 13
13.
Cylinder
Which is the correct formula for SA of a cylinder? Label the dimensions, r and h, on the figure in the Show Your Work section.
Question 14
14.
Cone
Choose the correct formula for SA of a cone. Label the dimensions(radius and slant height).
Question 15
15.
Pyramid
Choose the correct formula for the SA of a pyramid. Label the dimensions, p and l(slant height) for each figure and use the text box to write the formula that would be used to calculate the B(base area) in the Show Your Work section.
