for own good

1. MATHEMATICS 9

2. Activity 1: GUESS ME!
Direction: Answer the
missing terms.
•
•If KE ≅ TE, ____ ≅ TI .
•KT= KS+____.
•ES+IS=____.
•If KT=14cm, ST is=___cm.

3. Activity 1: GUESS ME!
Direction: Answer the
missing terms.
•
•If KE ≅ TE, ____ ≅ TI .
•KT= KS+____.
•ES+IS=____.
•If KT=14cm, ST is=___cm.
KI

4. Activity 1: GUESS ME!
Direction: Answer the
missing terms.
•
•If KE ≅ TE, ____ ≅ TI .
•KT= KS+____.
•ES+IS=____.
•If KT=14cm, ST is=___cm.
KI
TS

5. Activity 1: GUESS ME!
Direction: Answer the
missing terms.
•
•If KE ≅ TE, ____ ≅ TI .
•KT= KS+____.
•ES+IS=____.
•If KT=14cm, ST is=___cm.
KI
TS
EI

6. Activity 1: GUESS ME!
Direction: Answer the
missing terms.
•
•If KE ≅ TE, ____ ≅ TI .
•KT= KS+____.
•ES+IS=____.
•If KT=14cm, ST is=___cm.
KI
TS
EI
7

8. SOLVE
PROBLEM
INVOLVING
KITES

9. Example #1. The area of the kite made by Aaron is 110 square inches. One diagonal of the kite
is 2 inches more than twice the other diagonal. What are the lengths of the diagonals?

10. Example #1. The area of the kite made by Aaron is 110 square inches. One diagonal of the kite
is 2 inches more than twice the other diagonal. What are the lengths of the diagonals?

11. Example #1. The area of the kite made by Aaron is 110 square inches. One diagonal of the kite
is 2 inches more than twice the other diagonal. What are the lengths of the diagonals?
Let D1 = x
D2 = 2x + 2
Area of Kite = 110 in²

12. Example #1. The area of the kite made by Aaron is 110 square inches. One diagonal of the kite
is 2 inches more than twice the other diagonal. What are the lengths of the diagonals?
Let D1 = x
D2 = 2x + 2
Area of Kite = 110 in²
A=1/2 (D1)(D2)
110=1/2 (x)(x+2)
110=1/2(2x²+2)
110=1/2(2x²)+1/2(2)
110=x²+x
0=x²+x-100
x²+x-110=0
(x+11)(x-10)=0
X+11=0x-10=0
x+11-11=0-11 x-10+10=0
x=-11 x=10

13. Example #1. The area of the kite made by Aaron is 110 square inches. One diagonal of the kite
is 2 inches more than twice the other diagonal. What are the lengths of the diagonals?
Let D1 = x
D2 = 2x + 2
Area of Kite = 110 in²
A=1/2 (D1)(D2)
110=1/2 (x)(x+2)
110=1/2(2x²+2)
110=1/2(2x²)+1/2(2)
110=x²+x
0=x²+x-100
x²+x-110=0
(x+11)(x-10)=0
X+11=0x-10=0
x+11-11=0-11 x-10+10=0
x=-11 x=10
If x=10
D1=x
D1=10 in
D2=2x+2
D2=2(10)+2
D2=20+2
D2=22

14. Example #2. The perimeter of a kite is 64 cm. The length of one of its
sides is 14 cm more than half the length of another. Find the length of
each side of the diagonals.
x
1/2x+14

15. Example #2. The perimeter of a kite is 64 cm. The length of one of its
sides is 14 cm more than half the length of another. Find the length of
each side of the diagonals.
x
1/2x+14

16. Example #2. The perimeter of a kite is 64 cm. The length of one of its
sides is 14 cm more than half the length of another. Find the length of
each side of the diagonals.
x
1/2x+14
Let side A=x
Side B=1/2x+4
Perimeter=64cm

17. Example #2. The perimeter of a kite is 64 cm. The length of one of its
sides is 14 cm more than half the length of another. Find the length of
each side of the diagonals.
Perimeter= 2(A+B)
Perimeter=2(x+1/2x+14)
Perimeter=2(x) + 2 (1/2x + 14)
64=2(x)+2(1/2x+14)
64= 2x+x+28
64-28=2x+x
36=3x
36/3=3X/3
x=12
x
1/2x+14
Let side A=x
Side B=1/2x+4
Perimeter=64cm

18. Example #2. The perimeter of a kite is 64 cm. The length of one of its
sides is 14 cm more than half the length of another. Find the length of
each side of the diagonals.
Perimeter= 2(A+B)
Perimeter=2(x+1/2x+14)
Perimeter=2(x) + 2 (1/2x + 14)
64=2(x)+2(1/2x+14)
64= 2x+x+28
64-28=2x+x
36=3x
36/3=3X/3
x=12
If x=12
Side a=12 cm
If x=12
Side b= 1/2x+14
=6+14
Side b= 20cm
Therefore, the lengths of sides of the kite
are 12cm and 20cm.
x
1/2x+14
Let side A=x
Side B=1/2x+4
Perimeter=64cm

19. ACTIVITY 2: LET’S PRACTICE
Direction: Illustrate and solve the following problem.
G1,G3, G5: The area of the kite Elle made is 58.5
cm². The other diagonal is 4cm more than the
other. Find the length of each kite.
G2& G4: The perimeter of a kite is 42cm. The
length of one of its side is 3 more than the other
length. Find the length of each side of the kite.

20. ACTIVITY 3: KEEP PRACTICING
Direction: Illustrate and solve the problem below within
3minutes (by pair)
The area of the paper used by Shamira in making her
kite is 120 square inches and one of its diagonals is 4
inches less than twice the other diagonal. Find the
lengths of the two diagonals.

21. DIRECTION: Solve the following problem below.
Quadrilateral LIKE is a kite with LI ≅IK and LE ≅KE.
1. LE is twice LI. If its perimeter is 21cm,
how long is LE?
2. What is its area if one diagonal is
4more than the other?
3. IE=(x-1)ft and LK=(x+2)ft. if its area is44ft²,
how long are IE and LK?