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Questions and Answers
What is the correct definition of a right angle?
What is the correct definition of a right angle?
- An angle measuring less than 90 degrees
- An angle measuring exactly 90 degrees (correct)
- An angle measuring greater than 90 degrees
- An angle formed by two rays with one endpoint
Which of the following pairs of angles are complementary?
Which of the following pairs of angles are complementary?
- Two angles measuring 90 degrees each (correct)
- Two angles whose measures sum to 180 degrees
- An acute angle and an obtuse angle
- Two angles that are congruent
What is the defining characteristic of a parallelogram?
What is the defining characteristic of a parallelogram?
- Exactly one pair of opposite sides is parallel
- All sides are congruent
- All angles are right angles
- Opposite sides are parallel and opposite angles are congruent (correct)
How would you classify a triangle with exactly one obtuse angle?
How would you classify a triangle with exactly one obtuse angle?
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What defines a regular polygon?
What defines a regular polygon?
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Which type of line does not intersect and is in a different plane?
Which type of line does not intersect and is in a different plane?
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Study Notes
Definitions and Classifications in Geometry
- A right angle is defined as an angle that measures exactly 90 degrees.
- Complementary angles are two angles whose measures add up to 90 degrees. For example, if one angle measures 30 degrees, its complementary angle measures 60 degrees.
Parallelograms and Triangles
- A parallelogram is characterized by having opposite sides that are both equal in length and parallel to each other.
- A triangle with exactly one obtuse angle is classified as an obtuse triangle, which means one of its angles exceeds 90 degrees.
Polygons and Lines
- A regular polygon is defined as a polygon where all sides and angles are equal, ensuring symmetry and uniformity in shape.
- Skew lines are lines that do not intersect and are not parallel, existing in different planes.
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