Questions and Answers
What is a characteristic of a parallelogram?
What is true about the diagonals of a parallelogram?
What is the formula to find the area of a parallelogram?
What can be used to test if a shape is a parallelogram?
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What is the area of a rhomboid with a base of 6cm and a height of 3cm?
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What is the definition of a parallelogram?
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What is a characteristic of a parallelogram's side lengths?
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Which of the following is NOT a type of parallelogram?
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What is a characteristic of a square?
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What is a common feature of all parallelograms?
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What is the primary difference between a rhombus and a square?
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What is a characteristic shared by all parallelograms?
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What distinguishes a rhomboid from a rectangle?
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What can be concluded about a shape that has four sides, four corners, and four angles?
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What is a result of drawing lines diagonally from each corner of a parallelogram?
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Study Notes
Definition and Characteristics of Parallelograms
- A parallelogram is a geometric shape with four sides, four corners, and four angles.
- It has two sets of parallel lines, with either the same length for every side or two different side lengths (one length for each pair of parallel lines).
- Parallelograms will never have more than two side lengths, or they wouldn't be considered a parallelogram.
Types of Parallelogram Shapes
- Squares: four sides of equal length, four 90° angles (or four right angles), and two sets of parallel lines.
- Rectangles: four sides, four corners, and four angles; all angles are right angles, but not all sides are equal length.
- Rhombuses: four sides of equal length, but no right angles; angles are acute and obtuse, each directly across from each other.
- Rhomboids: four sides, but not all sides are equal length; they have two acute and two obtuse angles opposite from each other.
Properties of Parallelograms
- Quadrilateral: four sides
- Parallel sides: two sets of parallel lines opposite from one another
- Bisecting lines: lines drawn diagonally from each corner of a parallelogram will create bisecting lines that intersect halfway from each line
- Equal side length: at least one pair of sides of equal length
- Congruent triangles: two congruent triangles are formed when a single line is drawn diagonally from one corner to another on a parallelogram
- Opposite but equal angles: angles opposite from each other in a parallelogram will have the same measure
- Opposite but equal lines: parallelograms always have sides with the same length (congruent) as the side opposite from them
Calculating the Area of a Parallelogram
- The area of a parallelogram can be determined by multiplying the base by the height of the shape (A = B x H)
- The area of a rectangle, for example, can be calculated by multiplying the base and height (e.g., A = 4cm x 2cm = 6)
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Description
Learn about parallelograms, their definition, properties, and real-world examples. Understand the geometric shape with four sides and two sets of parallel lines.