Geometry Chapter 12 Test Review Flashcards
19 Questions
100 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the formula when the vertex is in the center of the circle?

  • m< = 1/2(sum of arcs)
  • m< = 1/2(arc)
  • m< = 1/2(difference of arcs)
  • m< = arc (correct)

    • What is the formula when the vertex is on the circle?

  • m< = arc
  • m< = 1/2(sum of arcs)
  • m< = 1/2(arc) (correct)
  • m< = 1/2(difference of arcs)

    • What is the formula when the vertex is inside the circle?

  • m< = 1/2(arc)
  • m< = arc
  • m< = 1/2(difference of arcs)
  • m< = 1/2(sum of arcs) (correct)

    • What is the formula when the vertex is outside the circle?

    <p>m&lt; = 1/2(difference of arcs)</p> Signup and view all the answers

    What is a secant?

    <p>A line that intersects a circle at two points</p> Signup and view all the answers

    What is a tangent?

    <p>A line, ray, or segment that intersects a circle in one point called the point of tangency</p> Signup and view all the answers

    What is a chord?

    <p>A segment whose endpoints are on the circle</p> Signup and view all the answers

    What is the definition of a circle?

    <p>A set of points equidistant from a given point</p> Signup and view all the answers

    What is the center of a circle?

    <p>The middle of the circle</p> Signup and view all the answers

    What is the diameter?

    <p>Length from one point on a circle to another</p> Signup and view all the answers

    What is the radius?

    <p>Half the diameter</p> Signup and view all the answers

    What is a central angle?

    <p>Angle between two radii whose vertex is in the center</p> Signup and view all the answers

    What is a semicircle?

    <p>Half a circle</p> Signup and view all the answers

    What is a minor arc?

    <p>Measure less than 180</p> Signup and view all the answers

    What is a major arc?

    <p>Measure more than 180</p> Signup and view all the answers

    What is the intersecting chords formula?

    <p>(part)(part)=(part)(part)</p> Signup and view all the answers

    What is the 2 secants formula?

    <p>(outside)(whole)=(outside)(whole)</p> Signup and view all the answers

    What is the Tangent and secant formula?

    <p>(tangent)^2=(outside)(whole)</p> Signup and view all the answers

    What is the formula for abc?

    <p>-B+-SQRT(b^2-4(a)(c))/2</p> Signup and view all the answers

    Study Notes

    Circle Geometry Basics

    • Vertex in the Center: When the vertex is at the center, the measure of the angle is equal to the measure of the intercepted arc.
    • Vertex on the Circle: For a vertex located on the circle, the angle's measure is half of the measure of the intercepted arc.
    • Vertex Inside the Circle: If the vertex is inside the circle, the angle measure equals half the sum of the measures of the intercepted arcs.
    • Vertex Outside the Circle: When the vertex is outside the circle, the angle's measure is half the difference between the measures of the intercepted arcs.

    Circle Line Definitions

    • Secant: A line that crosses a circle at two distinct points, creating a segment.
    • Tangent: A line, ray, or segment that touches the circle at exactly one point, known as the point of tangency.
    • Chord: A segment with both endpoints located on the circle.

    Circle Components

    • Circle: Defined as a collection of points equidistant from a central point.
    • Center: The central point from which all points on the circle are equidistant.
    • Diameter: The line segment that passes through the center of the circle, connecting two points on the circle.
    • Radius: Half the length of the diameter, extending from the center to any point on the circle.

    Angle Measurements

    • Central Angle: An angle formed by two radii with its vertex at the center of the circle.
    • Semicircle: Represents half of a circle's total area.
    • Minor Arc: An arc measuring less than 180 degrees of the circle.
    • Major Arc: An arc that measures more than 180 degrees.
    • Intersecting Chords Formula: The product of the segments of one chord equals the product of the segments of the other chord.
    • Two Secants Formula: The product of the external segment and the whole length of one secant equals the product of the external segment and the whole length of another secant.
    • Tangent and Secant Formula: The square of the tangent length equals the product of the length of the external segment and the total length of the secant.
    • Quadratic Formula: Used to find the roots of a quadratic equation, expressed as x = (-b ± √(b² - 4ac)) / (2a).

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    Prepare for your Geometry Chapter 12 test with these flashcards. They cover important concepts such as the properties of angles formed by intersecting lines and circles. Review definitions and formulas essential for understanding circular geometry.

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser