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IGCSEMathsCambridge (CIE)ExtendedFlashcardsGeometryAngles in Polygons & Parallel Lines

Angles in Polygons & Parallel Lines (Cambridge (CIE) IGCSE Maths)

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  • What are vertically opposite angles?

    Vertically opposite angles are angles that are opposite to each other when two lines intersect. Vertically opposite angles are equal.

    Vertically opposite angles.

  • True or False?

    Angles around a point add up to 180°.

    False.

    Angles around a point add up to 360°.

  • Define an isosceles triangle.

    An isosceles triangle is a triangle with two sides of equal length and two angles of equal size.

  • What is an equilateral triangle?

    An equilateral triangle is a triangle with three sides of equal length and three equal angles.

  • True or False?

    The three interior angles inside any triangle add up to 180°.

    True.

    The three interior angles inside any triangle add up to 180°.

  • Define the term quadrilateral.

    A quadrilateral is a polygon with four sides.

  • True or False?

    The four interior angles inside any quadrilateral add up to 360°.

    True.

    The four interior angles inside any quadrilateral add up to 360°.

  • What is the sum of angles along a straight line?

    Angles along a straight line add up to 180°.

  • True or false?

    Opposite angles in a rhombus are equal.

    True.

    Opposite angles in a rhombus are equal.

  • True or false?

    A kite has two pairs of equal angles.

    False.

    A kite is a quadrilateral with one pair of equal angles.

  • What is a polygon?

    A polygon is a flat (plane) shape with n straight sides.

    E.g. a quadrilateral is a 4-sided polygon.

  • True or False?

    The sum of the exterior angles in any polygon always adds up to 360°.

    True.

    The sum of the exterior angles in any polygon always adds up to 360°.

  • True or False?

    The sum of an interior angle and an exterior angle at the same vertex on a polygon is equal to 180°.

    True.

    The sum of an interior angle and an exterior angle at the same vertex on a polygon is equal to 180°.

  • State the equation in terms of the number of sides of a polygon, n, for the sum of interior angles in a polygon.

    The equation in terms of the number of sides of a polygon, n, for the sum of interior angles in a polygon is:

    Sum of interior angles = 180 cross times open parentheses n minus 2 close parentheses.

  • What is a regular polygon?

    A regular polygon is a polygon where all sides are equal and all angles are equal.

  • True or False?

    An irregular polygon can have more than one side of the same length.

    True.

    An irregular polygon can have more than one side of the same length.

    It is an irregular polygon unless all sides are the same length and all angles are the same size, in which case it would be a regular polygon.

  • True or False?

    The sum of interior angles in a regular polygon is different to the sum of interior angles in an irregular polygon with the same number of sides.

    False.

    The sum of interior angles in a regular polygon is the same as the sum of interior angles in an irregular polygon with the same number of sides.

    The sum of interior angles is dependent on the number of sides.

    It is not dependent on whether the polygon is regular or irregular.

  • What are parallel lines?

    Parallel lines are lines that are always equidistant (i.e. the same distance apart) and never meet.

  • What is a transverse line?

    A transverse line is a straight line that extends across two parallel lines.

  • What are corresponding angles?

    Corresponding angles are equal angles in corresponding positions.

    Pairs of corresponding angles.

  • What are co-interior (supplementary) angles?

    Co-interior (supplementary) angles are a pair of angles that are formed between a pair of parallel lines and a transverse line. Co-interior angles sum to 180o.

    Pairs of co-interior angles.

  • What angle fact is represented by the diagram below?

    Two side-by-side diagrams show intersecting lines with orange shapes on the left and green shapes on the right, illustrating geometric relationships.

    Alternate angles are equal angles.

    Two side-by-side diagrams show intersecting lines with orange shapes on the left and green shapes on the right, illustrating geometric relationships.

  • True or False?

    In an exam question involving the use of angle facts, you should state the appropriate angle fact as well as the size of the relevant angle.

    True.

    To get full marks in an exam you will need to write down the size of any angles that you have found but you will also need to give reasons.

    Make sure that you use the correct terminology for the different angle facts.

Previous:Geometry ToolkitNext:Bearings, Constructions & Scale Drawings

    1. Topic 1

      Number Toolkit

    2. Topic 2

      Set Notation & Venn Diagrams

    3. Topic 3

      Prime Factors, HCF & LCM

    4. Topic 4

      Powers, Roots & Standard Form

    5. Topic 5

      Fractions Toolkit

    6. Topic 6

      Percentages Toolkit

    7. Topic 7

      Simple & Compound Interest, Growth & Decay

    8. Topic 8

      Surds

    9. Topic 9

      Working with FDP

    10. Topic 10

      Working with Ratios

    11. Topic 11

      Compound Measures (Speed, Density, Pressure)

    12. Topic 12

      Time, Currency & Conversions

    13. Topic 13

      Rounding, Estimation & Bounds

    14. Topic 14

      Using a Calculator

    1. Topic 1

      Algebra Toolkit

    2. Topic 2

      Algebraic Roots & Indices

    3. Topic 3

      Expanding & Factorising Brackets

    4. Topic 4

      Linear Equations & Inequalities

    5. Topic 5

      Quadratic Equations

    6. Topic 6

      Rearranging Formulas

    7. Topic 7

      Simultaneous Equations

    8. Topic 8

      Algebraic Fractions

    9. Topic 9

      Forming & Solving Equations

    10. Topic 10

      Functions

    11. Topic 11

      Sequences

    12. Topic 12

      Proportion

    1. Topic 1

      Coordinate Geometry

    2. Topic 2

      Linear Graphs

    3. Topic 3

      Quadratic Graphs

    4. Topic 4

      Further Graphs & Tangents

    5. Topic 5

      Solving & Graphing Inequalities

    6. Topic 6

      Real-Life Graphs

    7. Topic 7

      Differentiation

    1. Topic 1

      Geometry Toolkit

    2. Topic 2

      Angles in Polygons & Parallel Lines

    3. Topic 3

      Bearings, Constructions & Scale Drawings

    4. Topic 4

      Circle Theorems

    1. Topic 1

      Area & Perimeter

    2. Topic 2

      Circles, Arcs & Sectors

    3. Topic 3

      Volume & Surface Area

    4. Topic 4

      Congruence & Similarity

    1. Topic 1

      Right-Angled Triangles (Pythagoras & Trigonometry)

    2. Topic 2

      Sine, Cosine Rule & Area of Triangles

    3. Topic 3

      3D Pythagoras & Trigonometry

    4. Topic 4

      Trigonometric Graphs & Equations

    1. Topic 1

      Vectors

    2. Topic 2

      Transformations

    1. Topic 1

      Basic Probability

    2. Topic 2

      Probability Diagrams (Tree & Venn Diagrams)

    3. Topic 3

      Conditional Probability

    1. Topic 1

      Averages & Range

    2. Topic 2

      Statistical Diagrams

    3. Topic 3

      Histograms

    4. Topic 4

      Cumulative Frequency

    5. Topic 5

      Scatter Graphs & Correlation