Podcast
Questions and Answers
Match the following terms with their definitions.
Match the following terms with their definitions.
POYB = PQYD and BQXC are parallelograms AXYB = is a rectangle PBQC = is a trapezium XQYD = is a parallelogram
Flashcards
Parallelogram
Parallelogram
A quadrilateral with opposite sides parallel.
Trapezoid
Trapezoid
A quadrilateral with one pair of parallel sides.
Triangle
Triangle
A figure formed by three line segments.
Diagonal
Diagonal
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Altitude
Altitude
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Area
Area
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Area Ratio
Area Ratio
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Proof
Proof
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Area of a Parallelogram
Area of a Parallelogram
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Area of a Triangle
Area of a Triangle
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Midsegment
Midsegment
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Axiom
Axiom
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Theorem
Theorem
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Deductive Reasoning
Deductive Reasoning
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Inductive Reasoning
Inductive Reasoning
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Equal Base and Height Theorem
Equal Base and Height Theorem
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Parallelogram Area Theorem
Parallelogram Area Theorem
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Triangle Area Theorem
Triangle Area Theorem
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Composite Figure
Composite Figure
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Decomposition
Decomposition
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Study Notes
Parallelogram Properties
- Parallelograms have opposite sides parallel and equal in length
- Opposite angles are equal
- Adjacent angles add up to 180 degrees
- Diagonals bisect each other
Triangles and Parallelograms
- The area of a triangle is half the area of a parallelogram with the same base and height
- The area of a parallelogram is base times height
Area of Triangles
- Area of a triangle is 1/2 * base * height
- If two triangles have the same height, the ratio of their areas is equal to the ratio of their bases
- The area of triangles with equal bases is in ratio to their altitude
Similar Triangles
- If two triangles are similar, the ratio of their corresponding sides is equal to the ratio of their corresponding altitudes
- If two triangles are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides
Special Cases of Parallelograms:
- Squares have all sides equal and all angles are right angles
- Rectangles have opposite sides equal and all angles are right angles
- Rhombuses have all sides equal and diagonals bisect the angles
- Kites have two pairs of adjacent sides equal and diagonals are perpendicular
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Description
Test your knowledge on the properties of parallelograms and triangles in this quiz. Discover how areas are calculated and the relationships between similar triangles. Brush up on key concepts such as angle measures, bisectors, and area ratios.
