Two-Dimensional Geometry

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Perimeter and Area of 2D Shapes

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Presentation transcript:

Two-Dimensional Geometry Review and practice

Homework Check 3. 5. 7. 60.8 mm2 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 3 Hexagon Not Regular 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.

Show all work neatly and completely to justify your answer. 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) B (6, - 4) C (-10, - 4) D (-10, 7) 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) Graph the polygon and label the vertices. 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. 168 yd2 105 cm2

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.