$RST$ is a tangent to the circle with centre $O$. $PS$ is a diameter. $Q$ is a point on the circumference and $PQT$ is a straight line. Angle $QST=37°$.

Write down the values of $a, b, c$ and $d$.

 

Write down the order of rotational symmetry of this shape.

Draw the lines of symmetry on this shape.

Write down the order of rotational symmetry of this shape.

$A, B$ and $C$ are points on the circumference of a circle centre $O$.

$OAD$ is a straight line and angle $DAB=142°$.

Calculate the size of angle of $ACB$.

$A, B, C$ and $D$ lie on the circumference of the circle.

Find the value of $t$.

$X, Y$ and $Z$ lie on the circumference of the circle, centre $O$.

Find the value of $w$, giving reasons for your answer.

$E, F, G$ and $H$ lie on the circumference of the circle.

Find the value of $p$, giving a reason for your answer.

A quadrilateral has rotational symmetry of order $2$ and no lines of symmetry.

Write down the mathematical name of this quadrilateral.