Define vertically opposite angles.

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

True or False? Angles that meet at a point add up to 180° .

False. Angles that meet at 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 .

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°.

Define interior angle .

An interior angle is an angle inside a polygon between two adjacent sides of the polygon.

Define exterior angle .

An exterior angle is the angle between one extended side of the polygon and an adjacent side .

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°.

What is a regular polygon ?

A regular polygon is a polygon with all sides and angles 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, 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 ?

False. The sum of interior angles is dependent on the number of sides. It does 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 the straight line that extends across both parallel lines .

What are corresponding angles ?

Corresponding angles are pairs of angles that are created when a transverse line cuts across two parallel lines. They are in corresponding positions , e.g. both angles are to the right of one of the parallel lines and above the transverse line. Remembering that they are also known as 'F' angles angles can help you spot them - but don't use this term in an exam!

What is the angle fact associated with corresponding angles ?

Corresponding angles are equal .

What are co-interior (allied) angles ?

Co-interior (allied) angles are a pair of angles that are formed between a pair of parallel lines and a transverse line. Remembering that they are also known as 'C' angles angles can help you spot them - but don't use this term in an exam!

True or False? Co-interior (allied) angles always add up to 360° .

False. Co-interior angles add up to 180° .

What are alternate angles ?

Alternate angles are pairs of angles created between a pair of parallel lines, either side of a transverse when it cuts across the parallel lines. Remembering that they are also known as 'Z' angles angles can help you spot them - but don't use this term in an exam!

True or False? Alternate angles are equal .

True. Alternate angles are equal.

True or False? To get full marks in an exam you only need to find the size of the relevant angles .

False. 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.

Define the term circumference of a circle .

The circumference of a circle is the perimeter of a circle .

What is a diameter of a circle ?

A diameter of a circle is a line that touches the circumference at either end and passes through the centre of a circle. It is a circle's line of symmetry .

True or false? If a trapezium has a line of symmetry it is an isosceles trapezium .

True. If a trapezium has a line of symmetry it is an isosceles trapezium .

Define a parallelogram .

A parallelogram is a quadrilateral with two pairs of equal , opposite angles and two pairs of opposite , parallel sides .

A rhombus is a quadrilateral with two pairs of equal , opposite angles and two pairs of opposite , parallel sides , all four of which are the same length .

True or False? The diagonals of a rectangle bisect each other at the of the rectangle.

True. The diagonals of a rectangle bisect each other at the centre of the rectangle.

A trapezium is a quadrilateral with one pair of opposite , parallel sides of unequal length .

A kite is a quadrilateral with one line of symmetry , one pair of equal angles opposite the main diagonal , and two pairs of equal , adjacent sides.

True or False? The diagonals of a rhombus bisect each other at right angles (90°).

True. The diagonals of a rhombus bisect each other at right angles (90°).

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

IGCSEMaths A: HigherEdexcelFlashcards

Angles in Polygons & Parallel Lines (Edexcel IGCSE Maths A)

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Define vertically opposite angles.

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Define vertically opposite angles.
Vertically opposite angles are angles that are opposite to each other when two lines intersect.
True or False?
Angles that meet at a point add up to 180°.
False.
Angles that meet at 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.
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°.
Define interior angle.
An interior angle is an angle inside a polygon between two adjacent sides of the polygon.
Define exterior angle.
An exterior angle is the angle between one extended side of the polygon and an adjacent side.
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.
Sum of interior angles = $180 \times (n - 2)$
Where:
$n =$ number of sides of the polygon
What is a regular polygon?
A regular polygon is a polygon with all sides and angles 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, 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?
False.
The sum of interior angles is dependent on the number of sides. It does 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 the straight line that extends across both parallel lines.
What are corresponding angles?
Corresponding angles are pairs of angles that are created when a transverse line cuts across two parallel lines. They are in corresponding positions, e.g. both angles are to the right of one of the parallel lines and above the transverse line.
Remembering that they are also known as 'F' angles angles can help you spot them - but don't use this term in an exam!
What is the angle fact associated with corresponding angles?
Corresponding angles are equal.
What are co-interior (allied) angles?
Co-interior (allied) angles are a pair of angles that are formed between a pair of parallel lines and a transverse line.
Remembering that they are also known as 'C' angles angles can help you spot them - but don't use this term in an exam!
True or False?
Co-interior (allied) angles always add up to 360°.
False.
Co-interior angles add up to 180°.
What are alternate angles?
Alternate angles are pairs of angles created between a pair of parallel lines, either side of a transverse when it cuts across the parallel lines.
Remembering that they are also known as 'Z' angles angles can help you spot them - but don't use this term in an exam!
True or False?
Alternate angles are equal.
True.
Alternate angles are equal.
True or False?
To get full marks in an exam you only need to find the size of the relevant angles.
False.
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.
Define the term circumference of a circle.
The circumference of a circle is the perimeter of a circle.
What is a diameter of a circle?
A diameter of a circle is a line that touches the circumference at either end and passes through the centre of a circle. It is a circle's line of symmetry.
True or false?
If a trapezium has a line of symmetry it is an isosceles trapezium.
True.
If a trapezium has a line of symmetry it is an isosceles trapezium.
How many sides does a decagon have?
A decagon has 10 sides.
Define a parallelogram.
A parallelogram is a quadrilateral with two pairs of equal, opposite angles and two pairs of opposite, parallel sides.
What is a rhombus?
A rhombus is a quadrilateral with two pairs of equal, opposite angles and two pairs of opposite, parallel sides, all four of which are the same length.
True or False?
The diagonals of a rectangle bisect each other at the of the rectangle.
True.
The diagonals of a rectangle bisect each other at the centre of the rectangle.
Define a trapezium.
A trapezium is a quadrilateral with one pair of opposite, parallel sides of unequal length.
Define a kite.
A kite is a quadrilateral with one line of symmetry, one pair of equal angles opposite the main diagonal, and two pairs of equal, adjacent sides.
True or False?
The diagonals of a rhombus bisect each other at right angles (90°).
True.
The diagonals of a rhombus bisect each other at right angles (90°).
Define a polygon.
A polygon is a flat (plane) shape with n straight sides.

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