Summary

Mathematics Paper 2 Summary Notes: Grade 12

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Course
Mathematics

Institution
12th Grade

These notes are described in full and complete detail and are easy to understand. They cover all the work in Mathematics Paper 2 for Grade 12. These notes cover the topics: Trigonometry, Euclidean Geometry, Analytical Geometry and Statistics. Formulas and steps are provided.

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Uploaded on August 20, 2023
Number of pages 38
Written in 2023/2024
Type Summary

mathematics paper 2 grade 12

Institution
12th Grade
Course
Mathematics
Schooljaar 200

CA$12.03

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Maths Paper 2

Notes:

, Straight lines:
sum of angles on straight lines must add up
to 180. [I's on str lined

x 60

x 40 00 180
+ +
= I's on str line

x 180 = -
60 -
40
·C 80:
=

Triangles:
1) Sum of angles of triangle 180
=

2) exterior angles
Q
-

2 L
P R E

RS:sum of interior opposite angles.
p+
=

, Parallel Lines:
f
A 0
M. B

/
I
-

L vert opp
S
↑

C >
~ - D
G

t
fHB = ANG
- -
vert opp angles
AHG HGD =
Alt L's ABIICD A
-

S
corresp ('s
FHB HGD =

1
ABIICD f
AHG + (GH =180 co-intL's ABIICD L

Types of triangles:
1) Scalene triangles

-

I M

2) isoceles triangle:
B

only two sides are

- 9HA1.

Al ~ c[basel's of isos 3
=

3)equiliteral triangle:
- all sides and angles
are equal
o60.

, congurency: -
- all congurent U are similar

if itake two triangles and put them on top
of each other they will be exactly equal.

proving congurency:
B
E

11 - - - -
sides are equal

A III cD III F

AB:DEgiven
BC:of given

AC:DA given

ABC UDE
:. [SSS]

Q T

2) -
-
E
two angles, one side

P
3
A R s Yr H B E

4) -
- - -

P5 =
given
p I f
aI =

given
A CD
PR SU
=

given AC DF
=

given
:.UPARESTU [LLS] BC EF
=

given

Q A B
=

right(
E
3) two sides and an ABC UDEf =
(RHS]
- -
included angle.
D "of P
R

DE PQ
=

given
IF QR
=

given
B = given

:DEF = QPR [SSL]

, Similar Triangles:
We getsimilar triangles that aren't congurent.
B Z
not similar in terms of size,
~ -
butin proportion to each side.
7 ~
↳ ~ CD
f
A

if we have three angles that are equal,

itdoes not mean congurency but similarity.

AI =

given
B E =

given
i F =

given

: ABC III ↓DEF

Similar I congurent

theorem of Pythagoras:
x

Al F C

BC2 AB +ACL
=

I 98 39
= -

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