Properties of triangles and quadrilaterals

The diagram shows two sides of a kite.

On the grid, complete the kite.

What is the mathematical name of this solid shape?

Here is a quadrilateral.

Write down the special name for this quadrilateral.

On the grid below, draw a right-angled triangle.

ABCD is a quadrilateral.

All angles are measured in degrees. Show that ABCD is a trapezium.

ABCD is a quadrilateral.

All angles are measured in degrees. Show that ABCD is a trapezium.

Here is a triangle. The triangle is accurately drawn.

Measure the length of AC.

Measure the size of angle B.

Here is a different triangle.

QP = QR

Write down the mathematical name of this triangle.

A quadrilateral has 4 right angles and 4 sides of equal length.

Write down the mathematical name of this quadrilateral.

The diagram shows a solid shape.

Write down the mathematical name of this shape.

On the grid, draw a quadrilateral with no lines of symmetry and rotational symmetry of order 2

16On the centimetre grid, draw an isosceles triangle with an area of 12 cm²

Write down the mathematical name of this quadrilateral.

Write down the mathematical name of this 3‑D shape.

ABCD is a kite.

AB = (4x – 2) cm Jasper says that x could be 0.5

Explain why Jasper cannot be correct.

AD = 3AB The kite has a perimeter of 64 cm.

Find the value of x.

The diagram shows a regular pentagon and a parallelogram.

Work out the size of the angle marked x. You must show all your working.

The diagram shows a regular pentagon and a parallelogram.

Work out the size of the angle marked x. You must show all your working.

The diagram shows nine identical squares inside a rectangle.

The length of the rectangle is 12 cm. Work out the width of the rectangle.

The diagram shows a square ABDE and an equilateral triangle BCD.

Work out the size of angle EBC.

The diagram shows quadrilateral ABCD with each of its sides extended.

Show that ABCD is a kite. Give a reason for each stage of your working.

The diagram shows five shapes on a centimetre grid.

Write down the name of shape E.

Two of the shapes are congruent.

Write down the letters of these two shapes.

ABCD is a parallelogram. EDC is a straight line. F is the point on AD so that BFE is a straight line.

Angle EFD = 35 Angle DCB = 75

Show that angle ABF = 70 Give a reason for each stage of your working.

ABCD is a parallelogram. EDC is a straight line. F is the point on AD so that BFE is a straight line.

Angle EFD = 35 Angle DCB = 75

Show that angle ABF = 70 Give a reason for each stage of your working.

The diagram shows two shapes drawn on a centimetre grid.

Find the area of shape P.

Write down the mathematical name of quadrilateral Q.