Higher June 2023 Paper 1 Q15

AQACurrent spec4 marksSimilar Shapes

15 \(ABCD\) is a trapezium.

All four sides are different lengths.

\(AB\) is parallel to \(CD\).

The diagonals intersect at \(X\).

Trapezium ABCD with AB parallel to DC, AB at the top and DC at the bottom; diagonals AC and BD cross at X

Not drawn accurately

For each statement, tick the correct box. [4 marks]

TrueMay be trueNot true
Triangles \(AXB\) and \(CXD\) are similar
Triangles \(AXD\) and \(BXC\) are congruent
Angle \(ADB =\) angle \(BDC\)
Area of triangle \(ABC =\) area of triangle \(ABD\)