Lesson 8 Student Outcomes
Lesson 8 Classwork
1. Plot and connect the points A(3, 2), B(3, 7), and C(8, 2). Name the shape and determine the area of the polygon.
2. Plot and 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.
3. Plot the following points: 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. Plot the 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.
5. Two of the coordinates of a rectangle are A(3, 7) and B(3, 2). The rectangle has an area of 30 square units. Give the possible locations of the other two vertices by identifying their coordinates. (Use the coordinate plane to draw out and check your answer.)
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 how each part of the expression corresponds to the situation.
3. A rectangle with vertices located at (-3, 4) and (5, 4) has an area of 32 square units. Determine the location of the other two vertices.
4. Challenge: A triangle with vertices located at (-2, -3) and (3, -3) has an area of square units. Determine one possible location of the other vertex.
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