Geometry Basics: Lines and Angles

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AwedDialect
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12 Questions

What is the term for lines that never intersect, no matter how far they are extended?

Parallel Lines

What type of angle is greater than 90 degrees but less than 180 degrees?

Obtuse Angle

What is the term for angles that add up to 90 degrees?

Complementary Angles

What is the point that divides a line segment into two equal parts?

Midpoint

What is the term for a line that extends from a single point to infinity?

Rays

What is the postulate that states the points on a line can be paired with real numbers?

Ruler Postulate

What is a characteristic of a line?

It extends infinitely in two directions

What is true about a ray?

It can be named using its endpoint and a point on the ray

What is formed by two rays sharing a common endpoint?

An angle

What is an angle that is exactly 90 degrees?

Right angle

What is true about two intersecting lines?

They form four angles

What is true about two perpendicular lines?

They form four right angles

Study Notes

Types of Lines

  • Parallel Lines: Lines that never intersect, no matter how far they are extended.
  • Perpendicular Lines: Lines that intersect at a 90-degree angle.
  • Intersecting Lines: Lines that intersect at a single point.
  • Skew Lines: Lines that are not parallel and do not intersect.
  • Collinear Lines: Lines that lie on the same plane and intersect at a single point.

Types of Angles

  • Acute Angle: An angle less than 90 degrees.
  • Right Angle: An angle equal to 90 degrees.
  • Obtuse Angle: An angle greater than 90 degrees but less than 180 degrees.
  • Straight Angle: An angle equal to 180 degrees.
  • Reflex Angle: An angle greater than 180 degrees but less than 360 degrees.

Angle Relationships

  • Complementary Angles: Angles that add up to 90 degrees.
  • Supplementary Angles: Angles that add up to 180 degrees.
  • Adjacent Angles: Angles that share a common vertex and side.
  • Vertical Angles: Angles formed by two intersecting lines, opposite each other.

Line and Angle Properties

  • Line Segments: A part of a line with a fixed length.
  • Rays: A line that extends from a single point to infinity.
  • Midpoint: The point that divides a line segment into two equal parts.
  • Bisector: A line that divides an angle into two equal parts.

Theorems and Postulates

  • Ruler Postulate: The points on a line can be paired with real numbers.
  • Angle Addition Postulate: The measure of an angle is equal to the sum of the measures of its non-overlapping parts.
  • Vertical Angle Theorem: Vertical angles are equal in measure.

Test your knowledge of geometry fundamentals, including types of lines, angles, and their relationships. Learn about parallel, perpendicular, and skew lines, as well as acute, right, obtuse, and reflex angles.

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