Everything Maths Grade 10

3.You are given the following diagram, with 4 shapes drawn.

All the shapes are identical, but each shape uses a different naming convention:

Shape W H

Q

E

F

A G M

C D K S R N L

O B I

T

P

J

Shape X W

N

I

B

D H C

P J G M A R K

O T L

E

S

F

Shape Y S

K

B

R

M G H

T I L E Q J A

N C F

D

O

P

Shape Z E

D

C

B

S T A

R Q P O N M L

K J I

H

G

F

Which shape uses the correct naming convention?

4.Represent the following figures in the Cartesian plane:

a)TriangleDEFwithD(1; 2),E(3; 2)andF(2; 4).

b)QuadrilateralGHIJwithG(2;1),H(0; 2),I(2;2)andJ(1;3).

c)QuadrilateralM N OPwithM(1; 1),N(1; 3),O(2; 3)andP(4; 1).

d)QuadrilateralW XY ZwithW(1;2),X(1;3),Y(2;4)andZ(3;2).

5.You are given the following diagram:

 4  3  2  1 1 2 3 4

 5

 4

 3

 2

 1

1

A(4;1,5) 2

B(3,5;4,5)

x

y

Calculate the length of lineAB, correct to 2 decimal places.

6.The following picture shows two points on the Cartesian plane,AandB.

316 8.5. Chapter summary