Angle Definitions Flashcards
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Questions and Answers

What is an angle?

  • The union of two rays that have a common endpoint (correct)
  • The union of two lines
  • A straight line
  • A curved line
  • What is an acute angle?

    An angle whose measure is greater than zero and less than 90°.

    What is a right angle?

    An angle whose measure equals 90°.

    What is an obtuse angle?

    <p>An angle with a measure greater than 90° but less than 180°.</p> Signup and view all the answers

    What is the bisector of an angle?

    <p>A set of points which divides the angle into two angles of equal measure.</p> Signup and view all the answers

    What are perpendicular lines?

    <p>Lines that intersect to form right angles.</p> Signup and view all the answers

    What is the vertex of ∠ABC?

    <p>B.</p> Signup and view all the answers

    The bisector of an obtuse angle forms what type of angles?

    <p>Acute angles.</p> Signup and view all the answers

    An acute angle can have all of the following measures except ______.

    <p>0</p> Signup and view all the answers

    An obtuse angle measures 180 degrees.

    <p>False</p> Signup and view all the answers

    If ∠MPR is an acute angle and line PQ is in the interior of ∠MPR, then ∠QPR must be ______.

    <p>Acute.</p> Signup and view all the answers

    Perpendicular lines intersect to form four right angles.

    <p>True</p> Signup and view all the answers

    Study Notes

    Angle Definitions

    • An angle is formed by the union of two rays sharing a common endpoint.
    • An acute angle measures more than 0° and less than 90°.
    • A right angle has a precise measure of 90°.
    • An obtuse angle is defined as being greater than 90° but less than 180°.
    • The bisector of an angle is a set of points that divides the angle into two equal angles.
    • Perpendicular lines intersect at right angles, creating angles of 90°.

    Specialized Angle Concepts

    • The vertex of angle ∠ABC is denoted as point B.
    • The bisector of an obtuse angle creates two acute angles.
    • An acute angle cannot measure 0°, as it must be greater than 0°.
    • It is incorrect to assert that an obtuse angle measures 180°, as it is defined to be less than that.
    • If ∠MPR is acute and line PQ lies within it, then ∠QPR is also acute.
    • Perpendicular lines consistently intersect to create four right angles.

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    Description

    This quiz covers fundamental definitions related to angles, including acute, right, and obtuse angles, as well as angle bisectors. Perfect for students looking to solidify their understanding of basic geometric concepts.

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