1 Herearesomeparallelograms.

Findtheunknownsidesandanglesandlabelthediagrams.

a)

b)

2 Theperimeterofthesquareandparallelogramarethesame.

Workoutthelengthofz.

z = cm

3 Theseshapesarebothrhombuses.

Findtheunknownsidesandangles.

a) b)

a= cm c= m

b= ° d= °

4 ABCDisaparallelogram.

APQDisarhombus.

Findthedistancemarkedx.

x= cm

Explainyourreasoning.

Identifyand calculate with sidesandangles in specialquadrilaterals

©WhiteRoseMaths2020

70° 110°

5cm

8cm

48°

65mm

12cm

12cm5cm

z

95°

a

b

17cm

48°

c

d

9m

A

D

P

Q

B

C

x

9.5cm

14.8cm

7 Workoutthesizeofanglep.

p= °

8 Workouttheunknownanglesinthesetrapeziums.

a) b)

x= ° y= °

9 Findthesizeofanglex.Showallyourworkings.

x= °

©WhiteRoseMaths2020

Q

S

R

2.8cm

8cm

130°

25°P

75°

73°

p

5 PQRSisakite.

a) WhatisthelengthofsideQR? cm

b) WhatisthesizeofanglePSR? °

c) CalculatethesizeofangleQRS.

Showallthestepsinyourworkingandexplainyourreasons.

°

6 Thetwoisoscelestrianglesareusedtomakeakite.

Labelthelengthsofthesidesandtheanglesonthekite.

y

120°x

80° 85°

x

64°

70°

70°7cm

7cm

10cm6.1cm