Bell Work Write a congruence statement. ∆MNL ≅ ∆SRT.
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Transcript of Bell Work Write a congruence statement. ∆MNL ≅ ∆SRT.
Bell Work
M
N L S
R T
Write a congruence statement.
∆MNL ≅ ∆SRT
• Two objects are similar if they are the same shape but different sizes.
Similar Polygons
Example:
Is the pair of polygons similar? Explain your answer.
5 m 8 m
10 m
13 m
OR13
8
10
5
13
10
8
5
5(13) = 10(8)
65 = 80
NO
5(13) = 8(10)
65 = 80
NO
Example:
Is the pair of polygons similar? Explain your answer.
4 yd 3 yd
6 yd4.5 yd
OR5.4
3
6
4
5.4
6
3
4
4(4.5) = 6(3)
18 = 18
YES
4(4.5) = 6(3)
18 = 18
YES
15 ft 9 ft
21 ft
12 ft
Yes
No
Are the polygons similar? You must be able to justify your answer. (Shapes not drawn to scale.)
10 m
8 m
2.5 m
2 m
Yes
No
Are the polygons similar? You must be able to justify your answer. (Shapes not drawn to scale.)
15 yd
6 yd
15 yd
37.5 yd
Yes
No
Are the polygons similar? You must be able to justify your answer. (Shapes not drawn to scale.)
Example:
Find the value of x in the pair of similar polygons.
15 cmx
6 cm
8 cm
10 cm
OR10
615
x 106
15 x
15(10) = 6x
150 = 6x
25 cm = x
15(10) = 6x
150 = 6x
25 cm = x
You try:
Find the value of y in the pair of similar polygons.
y
15 in
5 in
7.5 in
15(5) = 7.5x
75 = 7.5x
10 in = x
55.7
15 y
15(5) = 7.5x
75 = 7.5x
10 in = x
5
5.715
yOr
25 ft 25 ft
18 ft
17.5 ft
w
Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.)
12.6 ft
A
B
C
D
18ft
450ft
.07 ft
17 m4.25 m
4 mx
Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.)
16m
68ft
A
B
C
D
16.25m
18.06ft
11 mm 38.5 mm
6 mmy
Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.)
21 mm
33.5mm
A
B
C
D
66mm
70.58mm
Scale Factor
• When you compare corresponding measurements of proportional objects, you get a ratio.
• This ratio is called the scale factor.
What is the scale factor from the larger shape to the smaller one?
Practice:Similar Polygons
Worksheet