11 x1 t07 05 similar triangles (2013)
TRANSCRIPT
Similar Triangles
Similar TrianglesTESTS
Similar TrianglesTESTS
(1) Corresponding sides are in proportion (SSS – with ratio a:b)
Similar TrianglesTESTS
(1) Corresponding sides are in proportion (SSS – with ratio a:b)
(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)
Similar TrianglesTESTS
(1) Corresponding sides are in proportion (SSS – with ratio a:b)
(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)
(3) All three angles are the same as the three angles in the other (AA)
Similar TrianglesTESTS
(1) Corresponding sides are in proportion (SSS – with ratio a:b)
(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)
(3) All three angles are the same as the three angles in the other (AA)
e.g. Find AD
A B
C
D
E15 cm
21 cm
24 cm
Similar TrianglesTESTS
(1) Corresponding sides are in proportion (SSS – with ratio a:b)
(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)
(3) All three angles are the same as the three angles in the other (AA)
e.g. Find AD
A B
C
D
E15 cm
21 cm
24 cm
ABACDAE common
Similar TrianglesTESTS
(1) Corresponding sides are in proportion (SSS – with ratio a:b)
(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)
(3) All three angles are the same as the three angles in the other (AA)
e.g. Find AD
A B
C
D
E15 cm
21 cm
24 cm
ABACDAE common ABC||DECBAEDA s,'ingcorrespond
Similar TrianglesTESTS
(1) Corresponding sides are in proportion (SSS – with ratio a:b)
(2) Two pairs of corresponding sides are in proportion AND the included angles are equal (SAS – with ratio a:b)
(3) All three angles are the same as the three angles in the other (AA)
e.g. Find AD
A B
C
D
E15 cm
21 cm
24 cm
ABACDAE common ABC||DECBAEDA s,'ingcorrespond
||| DAE BAC AA
A A
B C D E
24 cm 36 cm 15 cm
A A
B C D E
24 cm 36 cm 15 cm
s'|||in sides of ratio ACAE
ABAD
A A
B C D E
24 cm 36 cm 15 cm
s'|||in sides of ratio ACAE
ABAD
cm103615
24
AD
AD
A A
B C D E
24 cm 36 cm 15 cm
s'|||in sides of ratio ACAE
ABAD
cm103615
24
AD
AD
In similar shapes;
A A
B C D E
24 cm 36 cm 15 cm
s'|||in sides of ratio ACAE
ABAD
cm103615
24
AD
AD
In similar shapes;ba :ratioin the are sidesIf
A A
B C D E
24 cm 36 cm 15 cm
s'|||in sides of ratio ACAE
ABAD
cm103615
24
AD
AD
In similar shapes;ba :ratioin the are sidesIf
22 :ratio in the isarea ba
A A
B C D E
24 cm 36 cm 15 cm
s'|||in sides of ratio ACAE
ABAD
cm103615
24
AD
AD
In similar shapes;ba :ratioin the are sidesIf
22 :ratio in the isarea ba33 :ratioin the is volume ba
A A
B C D E
24 cm 36 cm 15 cm
s'|||in sides of ratio ACAE
ABAD
cm103615
24
AD
AD
In similar shapes;ba :ratioin the are sidesIf
22 :ratio in the isarea ba33 :ratioin the is volume ba
Exercise 8H; 2bd, 4ab, 6bc,8, 12, 16, 18, 20, 21, 24*