(a)[1]
Ryan states that each diagonal of quadrilateral $Q$ splits it into two congruent isosceles triangles. Draw a ring around every quadrilateral in the list for which Ryan’s statement is always true: Square, Rectangle, Rhombus, Parallelogram, Trapezium, Kite.
(b)[3]
$AXB$ and $CXD$ are straight lines. $X$ lies at the midpoint of $AB$. $AC$ is parallel to $DB$. Show that triangle $AXC$ is congruent to triangle $BXD$. Give a reason for every statement you write.