Questions and Answers
What is an acute angle?
Define adjacent angles.
Angles that have a common side and a common vertex.
What are complementary angles?
Two angles whose sum is 90 degrees.
What is an obtuse angle?
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Define perpendicular lines.
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What is a right angle?
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Define straight angles.
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What are supplementary angles?
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What is a vertex?
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Define vertical angles.
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What are alternate interior angles?
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Define corresponding angles.
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What are parallel lines?
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Define transversal.
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What are alternate exterior angles?
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Define congruent.
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What is a polygon?
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Define reflection.
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What is rotation?
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Define similar figures.
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What are transformations?
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Define translation.
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What is an acute triangle?
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Define an equilateral triangle.
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What is an isosceles triangle?
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Define an obtuse triangle.
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What is a parallelogram?
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Define quadrilateral.
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What is a rectangle?
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Define rhombus.
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What is a right triangle?
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Define scalene triangle.
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What is a square?
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Define trapezoid.
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What is a triangle?
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Define decagon.
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What is a dodecagon?
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Define heptagon.
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What is a hexagon?
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Define interior angles.
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What is a nonagon?
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Define octagon.
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What is a pentagon?
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Define area.
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What is a diagonal?
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Define chord.
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What is the circumference?
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Study Notes
Angles
- Acute Angle: Less than 90 degrees but more than 0 degrees.
- Adjacent Angles: Share a common side and vertex.
- Complementary Angles: Two angles that sum to 90 degrees.
- Obtuse Angle: Measures more than 90 degrees but less than 180 degrees.
- Right Angle: Measures exactly 90 degrees.
- Straight Angle: Measures exactly 180 degrees and forms a straight line.
- Supplementary Angles: Two angles whose sum is 180 degrees.
- Vertex: Point where two line segments, lines, or rays meet, forming an angle.
- Vertical Angles: Opposite congruent angles formed by intersecting lines.
Line Relationships
- Perpendicular Lines: Intersecting lines that form right angles.
- Alternate Interior Angles: On opposite sides of a transversal, within the lines.
- Corresponding Angles: Same position on two different parallel lines cut by a transversal.
- Parallel Lines: Lines that do not intersect and are in the same plane.
- Transversal: A line that intersects two or more lines in a plane at different points.
- Alternate Exterior Angles: Outside the lines, on opposite sides of a transversal.
Shapes and Polygons
- Polygon: Closed figure formed by three or more line segments.
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Triangle: A three-sided polygon, including:
- Acute Triangle: Three acute angles.
- Equilateral Triangle: Three congruent sides.
- Isosceles Triangle: Two equal sides.
- Obtuse Triangle: One angle greater than 90 degrees.
- Right Triangle: Contains a 90 degree angle.
- Scalene Triangle: No equal sides.
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Quadrilateral: A four-sided polygon, including:
- Parallelogram: Two pairs of parallel sides.
- Rectangle: Four right angles and two pairs of congruent, parallel sides.
- Rhombus: All sides congruent.
- Square: Four congruent sides and four right angles.
- Trapezoid: One pair of parallel sides.
Higher-Dimensional Polygons
- Pentagon: Five-sided polygon.
- Hexagon: Six-sided polygon.
- Heptagon: Seven-sided polygon.
- Octagon: Eight-sided polygon.
- Nonagon: Nine-sided polygon.
- Decagon: Ten-sided polygon.
- Dodecagon: Twelve-sided polygon.
Transformations
- Congruent: Figures having the same size and shape.
- Similar: Figures that share the same shape but not necessarily size.
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Transformations: Changes in position or size of a geometric figure, includes:
- Reflection: Flips a figure over a mirror line.
- Rotation: Rotates around a point.
- Translation: Slides each point of a figure the same distance in the same direction.
Circle Measurements
- Chord: Line segment between any two points on a circle.
- Diameter: Straight line that passes through the center of a circle, connecting two points on its circumference.
- Circumference: The distance around a circle.
- Area: The measure, in square units, of the inside of a plane figure.
- Diagonal: A straight line through a figure from one corner to another.
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Test your knowledge of geometry concepts with these flashcards from Pre-Algebra Unit 1B. Focus on key definitions like acute angles, adjacent angles, and complementary angles to enhance your understanding of this essential math unit.