7.5 using proportionality relationships
DESCRIPTION
7.5 Using Proportionality Relationships. Warm-up. 20 24. 8 x. 30 19 . 36 x. Lets Get Started!. How are these ’s similar? Write a similarity statement. - PowerPoint PPT PresentationTRANSCRIPT
Warm-up7.5 Using Proportionality
Relationships
8 x
30 19
20
24
36
x
4 8
5
x2
6
A D
C
B
E
A. How are these ’s similar?
B. Write a similarity statement.
Lets Get Started!
C. Write the proportions and solve for x.
Let’s Explore!• ABC ~ MNO
• Find x • Find the similarity ratio of ABC : MNO• Complete the ratio • Observations?
Perimeter of ABCPerimeter of MNO
3
A
B C
M
N O8
x
16
Let’s Explore!• ABCD ~ MNOP
• Find x • Find the similarity ratio of ABCD : MNOP• Complete the ratio • Observations?
Perimeter of ABCDPerimeter of MNOP
6
A
B C
DM
N O
P
x
9
3
Let’s Explore!• ABC ~ MNO
• Find the similarity ratio of ABC : MNO• Complete the ratio • Observations?
Area of ABCArea of MNO
12
A
B C
M
N O9
16
12
h =6 h = 8
Let’s Explore!• ABCD ~ MNOP
• Find the similarity ratio of ABCD : MNOP• Complete the ratio • Observations?
Area of ABCDArea of MNOP
¼
A
B C
DM
N O
P
½
¾
1 ½
Solve: -Two similar triangles have side length in a ratio of 3ft:4ft. The perimeter of the smallest triangle is 96. Find the perimeter of the biggest triangle.
- Two rhombii have areas in the ratio of 121in2: 196in2
- what is the ratio of their perimeters?- what is the ratio of their side lengths?
Solve: - If the ratio of the perimeters of two pentagons is 5: 8 and the area of the smaller pentagon is 75cm2, what is the area of the larger pentagon?