G6 m5-b-lesson 8-s

Lesson 8: Drawing Polygons on theCoordinate Plane
Date: 5/22/15 S.35
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NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 8
Lesson 8: Drawing Polygons on the Coordinate Plane
Classwork
Examples1–4
1. Plotand connect the points 𝐴 (3, 2), 𝐵 (3, 7), and 𝐶 (8, 2). Name the shape and determine the area of the polygon.
2. Plotand connect the points 𝐸 (−8, 8), 𝐹 (−2, 5), and 𝐺 (−7, 2). Then give the best name for the polygon and
determine the area.

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3. Plotthe followingpoints: 𝐾 (−10, −9), 𝐿 (−8, −2), 𝑀 (−3, −6), and 𝑁 (−7,−6). Give the best name for the
polygon and determine the area.
4. Plotthe following points: 𝑃 (1,−4), 𝑄 (5, −2), 𝑅 (9, −4), 𝑆 (7, −8), and 𝑇 (3, −8). Give the best name for the
polygon and determine the area.
Example 5
5. Two of the coordinates of a rectangle are 𝐴 (3, 7) and 𝐵 (3, 2). The rectanglehas an area of 30 squareunits. Give
the possiblelocationsof the other two vertices by identifyingtheir coordinates. (Use the coordinateplaneto draw
out and check your answer.)

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Exercises
For Problems 1 and 2, plot the points,name the shape, and determine the area of the shape. Then write an expression
that could be used to determine the area of the figure. Explain howeach partof the expression corresponds to the
situation.
1. 𝐴 (4, 6), 𝐵 (8, 6), 𝐶 (10, 2), 𝐷 (8, −3), 𝐸 (5, −3), and 𝐹 (2, 2)
2. 𝑋 (−9, 6), 𝑌 (−2, −1), and 𝑍 (−8, −7)

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3. A rectangle with vertices located at (−3, 4) and (5, 4) has an area of 32 squareunits. Determine the location of the
other two vertices.
4. Challenge: A trianglewith vertices located at (−2, −3) and (3, −3) has an area of 20 squareunits. Determine one
possiblelocation of the other vertex.

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Problem Set
Plotthe points for each shape. Then determine the area of the polygon. Then write an expression thatcould be used to
determine the area of the figure. Explain how each part of the expression corresponds to the situation.
1. 𝐴 (1, 3), 𝐵 (2, 8), 𝐶 (8, 8), 𝐷 (10, 3), and 𝐸 (5,−2)
2. 𝑋 (−10, 2), 𝑌 (−3, 6), and 𝑍 (−6, 5)

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3. 𝐸(5, 7), 𝐹(9, −5), and 𝐺(1, −3)
4. Find the area of the trianglein Problem3 usinga different method. Then compare the expressions thatcan be used
for both solutions in Problem3 and 4.
5. The vertices of a rectangle are (8, −5) and (8,7). If the area of the rectangle is 72 squareunits,name the possible
location of the other two vertices.
6. A trianglewith vertices located at (5, −8) and (5, 4) has an area of 48 squareunits. Determine one possible
location of the other vertex.

G6 m5-b-lesson 8-s

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