LINES & PLANES IN 3D

Lines and Planes in 3-Dimensions

LINES &
PLANES IN 3D

Lines and Planes in 3-Dimensions

1. A pyramid with a horizontal square base ABCD. Name 2. A right prism with a horizontal base STU. Name and 3. A pyramid with a rectangular base EFGH. K is vertically
and calculate the angle between the plane BCE and calculate the angle between the planes PQU and PQTS. above H. Name and calculate the angle between the line
ADE. KF and the plane EFGH.
E Q K
6cm 8cm
17cm 8cm
R
H G
P 9cm
D C 10cm
A 8cm B E
T F

U
S

12cm

4. A right prism with a horizontal rectangular base ABCD. 5. A cuboid with a horizontal base JKLM where JK = 12 6. A right prism. The base PQRS is a horizontal rectangle.
Trapezium ABGF is the uniform cross-section of the cm and KL = 6 cm. The height of the cuboid is 5 cm. Isosceles triangle MPS is the uniform cross section of
prism. L, M and N are the midpoints of BC, FE and AD Name and calculate the angle between the line JP and the prism. Given that point A is the midpoint of QR.
respectively. Name and calculate the angle between the the plane JMQ. Calculate the angle between the line PN and the plane
plane MBC and the base ABCD. PQRS.
EH SR
M
M 5 cm N

G P Q S
F M L

6 cm R

7cm D C PA
A N L
10 cm Q
10cm 6cm
JK
B

7. A cuboid. M is the midpoint of AB. The lengths of FG 8. A cuboid with a horizontal base ABCD. N is the 9. The base PQRS is a horizontal rectangle. Trapezium
and FM are 6 cm and 11 cm respectively. Name and midpoint of the sides AB. Given AE = 5 cm, ABQP is the uniform cross-section of the prism. The
calculate the angle between the plane EFM and the base AB = 4 cm and 3AB = AD. Name and calculate the rectangle BCRQ is a vertical plane and the rectangle
EFGH. angle between the planes NHD and AEHD. ABCD is inclined plane. Name and calculate the angle
between the line CP and the plane ABQP.
CB
M E H
F G
D
A

H G A D Q
E F C
N
B

Lines and Planes in 3-Dimensions

Lines and Planes in 3-Dimensions

Lines and Planes in 3-Dimensions