Fully worked, step-by-step solutions to GCSE Notation and drawing questions. See exactly how to solve problems on three-letter angle notation, vertex, polygon names, counting sides.
Read the three letters in order
The three letters are A, then , then .
Recall the rule for three-letter angle notation
In three-letter angle notation the MIDDLE letter is always the vertex, the corner where the two arms meet.
Name the vertex
The middle letter is , so the angle is at , between the arms and .
Recall the polygon names
The prefix "penta" means five.
Apply it to the polygon
A pentagon is a polygon with five straight sides.
State the answer
A pentagon has sides.
Compare the three sides
All three sides are the same length.
Recall the triangle names
A triangle with three equal sides is equilateral; its three angles are all degrees.
State the answer
So it is an equilateral triangle.
Look for the two mirror lines through the midpoints of the sides
One mirror line runs across the middle from top to bottom, one from side to side.
Look for the two mirror lines along the diagonals
Each diagonal of a square is also a mirror line.
Add them up
A square has lines of symmetry in total.
Picture the two lines
The lines keep the same distance apart forever.
Recall the word
Lines that never meet are parallel. Parallel lines are marked with matching arrows and written with the symbol .
State the answer
The word is "parallel".
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