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Questions and Answers
If one angle of a parallelogram measures 120 degrees, what is the measure of its adjacent angle?
If one angle of a parallelogram measures 120 degrees, what is the measure of its adjacent angle?
- 60 degrees (correct)
- 120 degrees
- 240 degrees
- 180 degrees
What is the sum of all interior angles in a parallelogram?
What is the sum of all interior angles in a parallelogram?
- 360 degrees (correct)
- 90 degrees
- 270 degrees
- 180 degrees
In a parallelogram, what is the relationship between the lengths of opposite sides?
In a parallelogram, what is the relationship between the lengths of opposite sides?
- They are perpendicular
- They are unequal
- They are equal (correct)
- They are parallel
What is the name for a quadrilateral with both pairs of opposite sides parallel and equal in length?
What is the name for a quadrilateral with both pairs of opposite sides parallel and equal in length?
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Study Notes
Angles in a Parallelogram
- If one angle measures 120 degrees, the adjacent angle's measure equals 60 degrees, derived from the property that adjacent angles in a parallelogram are supplementary.
- The sum of all interior angles in a parallelogram is 360 degrees, consistent with the formula for the sum of interior angles in any quadrilateral.
Properties of Sides in a Parallelogram
- Opposite sides in a parallelogram are equal in length, indicating that the opposite sides are congruent, which is a fundamental property of parallelograms.
Types of Quadrilaterals
- A quadrilateral that has both pairs of opposite sides parallel and equal in length is called a rectangle, which is a specific type of parallelogram.
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