Ratio & Proportion
Similar Polygons
Missing sides
Proportions & Similar Triangles
Shadow problems
Area and Perimeter
100
Solve for x.
2/5 = x/75
x = 30
100
Angle measurements change with the size of the shape. True or False
False. They always stay the same.
100
How can you prove these triangles similar?
Set up a proportion.
NO
100
Find the missing side length.
x = 44
100
Round to nearest tenth.
5.4 units
100
Explain how you find area?
Area is multiplying length and width.
200
Show that these two ratios are in proportion.
(50) / (100)= (1) / (2)
- Cross Multiply. Cross products = 100
- 50 is half of 100
- other
200
Similar polygons have the same ___ but different ___.
Same Shape & Different Size
200
Finish corresponding angles by marking the last. Then give corresponding
ie: ABC ~ NMP
TUV ~ JKL
200
What is a ratio?
A comparison of 2 quantities.
200
Round to nearest 10th.
6.7m
200
How does scale factor affect perimeter?
IE: Scale factor:2
(New image) Perimeter: 10
It will double.
300
Solve for x.
4/13 = 16/x
x = 52
300
How do you find slope given a graph? (What method do you use?)
Rise over run
300
Similar triangles lay on the same ________ and have the same ________.
Line
Slope
300
What is the scale factor?
triangleA ~ triangleB
3/2 (1.5)
300
A flag pole is X ft tall and cast a shadow 4.8. The mailbox is 3.5 ft tall and cast a shadow of 1.25. How tall is the Flag pole.
13.44ft
300
What is Perimeter? How do we find it?
Adding up all the sides of a figure.
400
Are these two ratios in proportion? Prove it.
(13) / (17) = (78) / (102)
Yes
(13)(102) = (17)(78)
1,326 = 1,326
Cross-products are equal.
400
TWO PART QUESTION:
A scale factor is a ________ between the corresponding parts of similar figures.
Which figure is the numerator when finding the scale factor original or new?
Ratio
NEW
400
What is the scale factor?
SF: .8
N/O
400
Find the length of the missing side.
x = 39
400
16 FT
400
How does scale factor affect area?
Area: 6
Scale factor: 3
You square the scale factor.
500
A map of Florida has a scale of 1 inch: 7miles. Janet locates her house on the map, and it's 3.5 inches from the closest Walmart. How many miles is Janet's house from Walmart?
24.5 miles
500
What is the ratio of similarity?
3/2
500
Are these triangles similar? If so, explain how you know and complete the similarity statement.
Yes,
500
Are these triangles similar? Prove it.
No. There is no ratio of similarity.
500
A build has a height of 65ft and casts a shadow of 20 ft. A statue cast a shadow of 3ft. How tall is the statue?
9.75 ft
500
See image from Doc. camera.
Tolar will check