Is it true that a rhombus is also a kite? Give reasons to support your answer.

The diagram shows a pit in a shape of a trapezium.

(a) What is the special name of the trapezium?
(b) Write the number of lines of symmetry of the trapezium.
(c) Find the area of the trapezium.

The diagram shows part of a regular polygon.

Calculate the number of sides of the polygon.

(a) A polygon has seven sides.
Write down the mathematical name of this polygon.
(b) A regular polygon has an exterior angle of 40°.
Find:
(i) The size of an interior angle of the polygon
(ii) The number of sides of the polygon

In the diagram, the straight line ABC is parallel to ED and BF is parallel to CD.
Angle ABF = 55°, angle DEF = 115° and angle BDC = 70°.

(a) Find angle CBD
(b) Give the name of triangle BCD
(c) State, with a reason, the value of angle BDE

A, B, C and D are some of the vertices of a regular polygon and PBQ is a straight line.
$y+z=210°$,
$x+y+z=270°$.

Calculate:
(i) The size of each exterior angle of the polygon,

(ii) The number of sides of the polygon.

A straight line N joins points E(21, d), F(1, 1) and G(3, 25).
(a) Given that F is the midpoint of EG, find the value of d.

(b) A straight line has gradient 2 and passes through (0, 5).
Write the equation of this line.

(c) A point H has coordinates (x, 9).
Given that the length of the line joining F and H is 10 units.
Find two possible values of x.