Geometry: Angles and Lines
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Questions and Answers

What is the measure of an angle that is greater than 90° but less than 180°?

  • Right angle
  • Acute angle
  • Obtuse angle (correct)
  • Reflex angle

    • What is the name of two lines that cross at right angles?

  • Perpendicular lines (correct)
  • Intersecting lines
  • Parallel lines
  • Congruent lines

    • What is the measure of an angle that is greater than 180° but less than 360°?

  • Right angle
  • Obtuse angle
  • Reflex angle (correct)
  • Acute angle

    • What tool is used to measure ∠ABC?

    <p>Protractor (D)</p> Signup and view all the answers

    What are two lines that are the same distance apart called?

    <p>Parallel lines (B)</p> Signup and view all the answers

    What is the value of the reflex angle ∠EFG?

    <p>270° (C)</p> Signup and view all the answers

    What is the total of the angles around a point?

    <p>360o (D)</p> Signup and view all the answers

    What is the angle size between each spoke if a bicycle wheel has 8 spokes?

    <p>45o (B)</p> Signup and view all the answers

    If a wheel has an angle of 30o between each spoke, how many spokes does it have?

    <p>12 (B)</p> Signup and view all the answers

    What is the relationship between ∠AED and ∠DEB?

    <p>Vertically opposite angles (A)</p> Signup and view all the answers

    If Kylie rotates 120o, 88o, 112o, and then stops, how many degrees has she rotated in total?

    <p>320o (D)</p> Signup and view all the answers

    What is the sum of the angles in the diagram a + b + c?

    <p>360o (B)</p> Signup and view all the answers

    What is the name of an angle that is 90o or a ¼ turn?

    <p>right angle (C)</p> Signup and view all the answers

    What is the measure of an angle called?

    <p>degrees (C)</p> Signup and view all the answers

    What is used to measure the size of an angle?

    <p>protractor (D)</p> Signup and view all the answers

    What is the name of an angle that is greater than 0o but less than 90o?

    <p>acute angle (D)</p> Signup and view all the answers

    What is the name of an angle that is greater than 180o but less than 360o?

    <p>reflex angle (B)</p> Signup and view all the answers

    What is the symbol used to represent an angle?

    <p>∠ (A)</p> Signup and view all the answers

    Study Notes

    Angle Classification

    • An angle greater than 90o but less than 180o is an obtuse angle
    • An angle greater than 180o but less than 360o is a reflex angle
    • An angle of 90o is a right angle

    Measuring Angles

    • A protractor is used to measure angle size
    • Angle size is measured in degrees (o)

    Naming Angles

    • An angle can be named using three letters, e.g., ∠ABC or ∠CBA
    • If there is only one angle at the vertex, a single letter can be used to name the angle, e.g., ∠B
    • The vertex of the angle is the point where the arms of the angle meet

    Vertically Opposite Angles

    • Vertically opposite angles are equal in size
    • Example: ∠AED and ∠DEB are vertically opposite angles

    Angle Relations

    • Two lines that cross at right angles are perpendicular
    • Two lines that are the same distance apart are parallel

    Drawing Angles

    • A protractor can be used to draw angles
    • A compass can be used to draw circles
    • A straight ruler can be used to draw and measure straight lines

    Angle Properties

    • Angles around a point add up to 360o
    • Example: Kylie rotated through 360o to face the same direction as she started

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    Description

    Test your understanding of angles and lines with this quiz. Identify types of angles, measure angles using a protractor, and learn about different types of lines. Improve your geometry skills with these questions.

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