Pre-Algebra Unit 1B: Geometry Flashcards
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Questions and Answers

What is an acute angle?

  • An angle that measures 90 degrees
  • An angle that measures more than 90 degrees
  • An angle that measures exactly 180 degrees
  • An angle less than 90 degrees (correct)
  • 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?

    <p>An angle that measures more than 90 degrees but less than 180 degrees.</p> Signup and view all the answers

    Define perpendicular lines.

    <p>Two intersecting lines that form right angles.</p> Signup and view all the answers

    What is a right angle?

    <p>An angle that measures 90 degrees.</p> Signup and view all the answers

    Define straight angles.

    <p>Measures exactly 180 degrees and forms a straight line.</p> Signup and view all the answers

    What are supplementary angles?

    <p>Two angles whose sum is 180 degrees.</p> Signup and view all the answers

    What is a vertex?

    <p>The point at which two line segments, lines, or rays meet to form an angle.</p> Signup and view all the answers

    Define vertical angles.

    <p>A pair of opposite congruent angles formed by intersecting lines.</p> Signup and view all the answers

    What are alternate interior angles?

    <p>Angles on opposite sides of the transversal on the inside of the given lines.</p> Signup and view all the answers

    Define corresponding angles.

    <p>Angles that have the same position on two different parallel lines cut by a transversal.</p> Signup and view all the answers

    What are parallel lines?

    <p>Lines in the same plane that do not intersect.</p> Signup and view all the answers

    Define transversal.

    <p>A line that intersects two or more lines in a plane at different points.</p> Signup and view all the answers

    What are alternate exterior angles?

    <p>Angles that lie outside a pair of lines and on opposite sides of a transversal.</p> Signup and view all the answers

    Define congruent.

    <p>Having the same size and shape.</p> Signup and view all the answers

    What is a polygon?

    <p>A closed figure formed by three or more line segments.</p> Signup and view all the answers

    Define reflection.

    <p>A transformation that 'flips' a figure over a mirror or reflection line.</p> Signup and view all the answers

    What is rotation?

    <p>A transformation that rotates around a point.</p> Signup and view all the answers

    Define similar figures.

    <p>Figures that have the same shape but not necessarily the same size.</p> Signup and view all the answers

    What are transformations?

    <p>A change in the position or size of a geometric figure.</p> Signup and view all the answers

    Define translation.

    <p>A transformation that 'slides' each point of a figure the same distance in the same direction.</p> Signup and view all the answers

    What is an acute triangle?

    <p>A triangle with 3 acute angles.</p> Signup and view all the answers

    Define an equilateral triangle.

    <p>A triangle with three congruent sides.</p> Signup and view all the answers

    What is an isosceles triangle?

    <p>A triangle that has 2 equal sides.</p> Signup and view all the answers

    Define an obtuse triangle.

    <p>A triangle with one angle that is greater than 90 degrees.</p> Signup and view all the answers

    What is a parallelogram?

    <p>A quadrilateral with two pairs of parallel sides.</p> Signup and view all the answers

    Define quadrilateral.

    <p>A 4 sided polygon.</p> Signup and view all the answers

    What is a rectangle?

    <p>A quadrilateral with two pairs of congruent, parallel sides and four right angles.</p> Signup and view all the answers

    Define rhombus.

    <p>A parallelogram with all sides congruent.</p> Signup and view all the answers

    What is a right triangle?

    <p>A triangle that has a 90-degree angle.</p> Signup and view all the answers

    Define scalene triangle.

    <p>A triangle with no equal sides.</p> Signup and view all the answers

    What is a square?

    <p>A parallelogram with four congruent sides and four right angles.</p> Signup and view all the answers

    Define trapezoid.

    <p>A quadrilateral with one pair of parallel sides and one pair of sides that are not parallel.</p> Signup and view all the answers

    What is a triangle?

    <p>A 3-sided polygon.</p> Signup and view all the answers

    Define decagon.

    <p>A 10-sided polygon.</p> Signup and view all the answers

    What is a dodecagon?

    <p>A 12-sided polygon.</p> Signup and view all the answers

    Define heptagon.

    <p>A 7-sided polygon.</p> Signup and view all the answers

    What is a hexagon?

    <p>A 6-sided polygon.</p> Signup and view all the answers

    Define interior angles.

    <p>Angles inside a polygon.</p> Signup and view all the answers

    What is a nonagon?

    <p>A 9-sided polygon.</p> Signup and view all the answers

    Define octagon.

    <p>An 8-sided polygon.</p> Signup and view all the answers

    What is a pentagon?

    <p>A 5-sided polygon.</p> Signup and view all the answers

    Define area.

    <p>The measure, in square units, of the inside of a plane figure.</p> Signup and view all the answers

    What is a diagonal?

    <p>A straight line through a figure from one corner to another corner.</p> Signup and view all the answers

    Define chord.

    <p>Line segment whose endpoints are any two points on a circle.</p> Signup and view all the answers

    What is the circumference?

    <p>The distance around a circle.</p> Signup and view all the answers

    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.
    • 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.
    • 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.
    • 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.

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