1 Here are some parallelograms.

Find the unknown sides and angles and label the diagrams.

a)

b)

2 The perimeter of the square and parallelogram are the same.

Work out the length of z.

z = cm

3 These shapes are both rhombuses.

Find the unknown sides and angles.

a) b)

a = cm c = m

b = ° d = °

4 ABCD is a parallelogram.

APQD is a rhombus.

Find the distance marked x.

x = cm

Explain your reasoning.

Identify and calculate with sides and angles in special quadrilaterals

© White Rose Maths 2020

70° 110°

5 cm

8 cm

48°

65 mm

12 cm

12 cm5 cm

z

95°

a

b

17 cm

48°

c

d

9 m

A

D

P

Q

B

C

x

9.5 cm

14.8 cm

7 Work out the size of angle p.

p = °

8 Work out the unknown angles in these trapeziums.

a) b)

x = ° y = °

9 Find the size of angle x. Show all your workings.

x = °

© White Rose Maths 2020

Q

S

R

2.8 cm

8 cm

130°

25°P

75°

73°

p

5 PQRS is a kite.

a) What is the length of side QR? cm

b) What is the size of angle PSR? °

c) Calculate the size of angle QRS.

Show all the steps in your working and explain your reasons.

°

6 The two isosceles triangles are used to make a kite.

Label the lengths of the sides and the angles on the kite.

y

120°x

80° 85°

x

64°

70°

70°7 cm

7 cm

10 cm6.1 cm