Transcript Two-Dimensional Geometry

Two-Dimensional
Geometry
REVIEW AND PRACTICE
Homework Check
3.
5.
60.8 mm2
7.
186 cm2
127.5 m2
Review of Polygons
What is a polygon?
Review of Polygons
What does that mean?
Review of Polygons
What do you need to know?
You must know how many sides each polygon has using the names highlighted above!
Review of Polygons
What are regular polygons?
These are the polygons that you are used to seeing.
All angles are equal and all sides are equal..
Review of Polygons
Now You Try! Name the shape. Indicate if it is regular or
not regular (irregular).
1
2
Hexagon
Not Regular
3
Pentagon
Regular
Hexagon
Not Regular
Learning Goal 610: Solve real-world and
mathematical problems involving area.
Learning Objective One:
I can draw polygons on the coordinate plane when given
the vertices.
Learning Objective One:
I can draw polygons on the coordinate plane when given
the vertices.
Amelia is making a drawing to determine the
length of a fence needed to go around her
garden.
Using the given coordinates, draw an outline of
her garden (polygon ABCDEF) and determine the
total length of fencing needed.
Show all work neatly and completely to justify
your answer.
A (6, 3)
D (-10, 7)
B (6, - 4)
C (-10, - 4)
E (- 5, 7)
F (- 5, 3)
Is there another way to
determine the perimeter?
Learning Goal 610: Solve real-world and
mathematical problems involving area.
Learning Objective Two:
I can find the length of a side of a polygon graphed on the
coordinate plane.
Learning Objective Two:
I can find the length of a side of a polygon graphed on the
coordinate plane.
The coordinates of the vertices of polygon EFGH are:
E (-5.5, 4) F (-2, 8.25) G (2.5, 4) H (-2, -7.75)
1. Graph the polygon and label the vertices.
2. Find the length of each diagonal (𝐸𝐺 and 𝐹𝐻). Show your
work clearly or explain how you found the lengths.
Learning Goal 610: Solve real-world and
mathematical problems involving area.
Learning Objectives Three, Four and Five:
I can determine the area of squares and rectangles.
I can calculate the area of triangles.
I can calculate the area of special polygons by breaking the
polygon into familiar shapes.
Learning Objectives Three, Four and Five:
I can determine the area of squares and rectangles.
I can calculate the area of triangles.
I can calculate the area of special polygons by breaking the polygon into
familiar shapes.
Find the area of the trapezoid and the
parallelogram by composing into rectangles or
decomposing into triangles or other shapes as
needed.
Show your work neatly and completely.
105 cm2
168 yd2
Learning Goal 610: Solve real-world and
mathematical problems involving area.
Learning Objective Six:
I can take everything I’ve learned about area and apply it
to real-world situations.
Learning Objective Six:
I can take everything I’ve learned about area and apply it
to real-world situations.
Mr. Moretti wants to cover the walkway around his
swimming pool with tile.
Determine how many square feet of tile he will need to
cover the shaded portion of the diagram.
Show your work neatly and completely.