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Questions and Answers
What is the area of triangle LMN?
What is the area of triangle LMN?
4 square units
What is the area of parallelogram ABCD? A(3, 6) D(2, 2) B(5, 6) C(5, 1).
What is the area of parallelogram ABCD? A(3, 6) D(2, 2) B(5, 6) C(5, 1).
13 square units
To solve the problem using the steps, what are the dimensions of the rectangle Michael should draw for parallelogram ABCD?
To solve the problem using the steps, what are the dimensions of the rectangle Michael should draw for parallelogram ABCD?
4 units by 4 units
What is the area of triangle QRS?
What is the area of triangle QRS?
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What is the total area of the two shapes Payton cut out?
What is the total area of the two shapes Payton cut out?
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If line segment AB measures approximately 8.6 units as the base of parallelogram ABCD, what is the approximate corresponding height of the parallelogram?
If line segment AB measures approximately 8.6 units as the base of parallelogram ABCD, what is the approximate corresponding height of the parallelogram?
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What is the area of triangle ABC? A(1, 1) B(4, 0) C(3, 5)
What is the area of triangle ABC? A(1, 1) B(4, 0) C(3, 5)
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What is the area of triangle ABC? A(0, 0) B(3, 4) C(3, 2)
What is the area of triangle ABC? A(0, 0) B(3, 4) C(3, 2)
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What is the area of triangle GHJ?
What is the area of triangle GHJ?
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If line segment RU is considered the base of parallelogram RSTU, what is the corresponding height of the parallelogram?
If line segment RU is considered the base of parallelogram RSTU, what is the corresponding height of the parallelogram?
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Which expression can be used to find the area of triangle RST?
Which expression can be used to find the area of triangle RST?
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If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?
If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?
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How do the areas of the parallelograms compare?
How do the areas of the parallelograms compare?
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Study Notes
Area of Triangles
- The area of triangle LMN is 4 square units.
- Triangle QRS has an area of 7 square units.
- Triangle ABC with vertices A(1, 1), B(4, 0), and C(3, 5) also has an area of 7 square units.
- Triangle ABC with vertices A(0, 0), B(3, 4), and C(3, 2) has an area of 3 square units.
- Triangle GHJ has an area of 6 square units.
- The expression for finding the area of triangle RST is derived from the formula: (8 - 1/2) (10 + 12 + 16).
Area of Parallelograms
- The area of parallelogram ABCD, defined by points A(3, 6), D(2, 2), B(5, 6), C(5, 1), is 13 square units.
- To find the area, a rectangle should be drawn with dimensions of 4 units by 4 units.
- The base of parallelogram ABCD measures approximately 8.6 units, with a corresponding height of about 4.8 units.
- For parallelogram RSTU, if line segment RU is the base, the corresponding height is approximately 5.4 units.
- The areas of parallelogram ABCD and parallelogram EFGH are equal.
Additional Area Considerations
- Payton combines two shapes to create a house, resulting in a total area of 21 square units.
- When working with triangles, if line segment BC is considered the base, the corresponding height is 1.6 units.
Studying That Suits You
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Test your understanding of the area formulas for triangles and parallelograms with these flashcards. Each card presents a question related to calculating area, along with possible answer options. Perfect for students studying geometry concepts.
