Geometry: Angles and Lines

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VivaciousElation
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18 Questions

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?

Protractor

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

Parallel lines

What is the value of the reflex angle ∠EFG?

270°

What is the total of the angles around a point?

360o

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

45o

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

12

What is the relationship between ∠AED and ∠DEB?

Vertically opposite angles

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

320o

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

360o

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

right angle

What is the measure of an angle called?

degrees

What is used to measure the size of an angle?

protractor

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

acute angle

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

reflex angle

What is the symbol used to represent an angle?

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

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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