Mathematics 0580 · IGCSE · Symmetry

Symmetry — practice question

The quadrilateral ABCD is a parallelogram.
(a(i))[1]

Write down the order of rotational symmetry for $ABCD$.

(a(ii))[1]

Write down how many lines of symmetry $ABCD$ has.

(a(iii))[1]

Write down the total of the interior angles of $ABCD$.

(b(i))[2]

On the diagram, draw the bisector of angle $BAD$. Continue the bisector until it meets $DC$ at $E$. Indicate $E$ on your diagram.

(b(ii))[1]

Explain how Edalgard can tell this without measuring either angle.

(b(iii))[2]

Write down the mathematical name given to triangle $ADE$ and give a reason for your answer.

(b(iv))[1]

Write down the mathematical name for quadrilateral $ABCE$.

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