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°?

Obtuse angle

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

Perpendicular lines

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

Reflex angle

What tool is used to measure ∠ABC?

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

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

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

What is the value of the reflex angle ∠EFG?

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

What is the total of the angles around a point?

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

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

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

What is the relationship between ∠AED and ∠DEB?

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

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

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

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

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

What is the measure of an angle called?

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

What is used to measure the size of an angle?

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

What is the symbol used to represent an angle?

<p>∠</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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