Ratio & Proportion
Similar Polygons
Missing sides
Proportions & Similar Triangles
Shadow problems
Random Trivia!
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
Are these triangles similar? If so, by what similarity theorem?
Yes! SAS
100
Find the missing side length.
x = 44
100
Round to nearest tenth.
5.4 units
100
What animal is considered the world's largest rodent?
The capybara
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
Triangle TUV ~ Triangle _______
JKL
200
What is a ratio?
A comparison of 2 quantities.
200
Round to nearest 10th.
6.7m
200
Most animals only have 2 of these, but an iguana has 3. What is it?
Eyes
300
Solve for x.
4/13 = 16/x
x = 52
300
In similar triangles, corresponding angles are congruent and corresponding side lengths are __________________.
Proportional
300
Similar triangles lay on the same ________ and have the same ________.
Line
Slope
300
What is the similarity ratio?
triangleA ~ triangleB
3/2
300
A flag pole is x ft tall and casts a shadow of 4.8 ft. The mailbox is 3.5 ft tall and casts a shadow of 1.25 ft. How tall is the flag pole.
13.44 ft
300
What animal sleeps up to 22 hours each day?
Koalas
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 similarity ratio?
4/5
400
Find the length of the missing side.
x = 39
400
16 ft
400
What is the only animal with an odd number of whiskers?
A catfish
500
A map of Florida has a scale of 1 inch: 7 miles. 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 similarity ratio?
3/2
500
Are these triangles similar? If so, explain how you know and complete the similarity statement.
Yes, AA, HTS
500
Are these triangles similar? How do you know?
No. There is no ratio of similarity.
500
A building has a height of 65 ft and casts a shadow of 20 ft. A statue cast a shadow of 3 ft. How tall is the statue?
9.75 ft
500
Which animal never sleeps?
The bullfrog