The ratio between two sets of measurements. It can be the same unit or different units.
scale
100
Andrew knows that five pounds of turkey will feed eight people. At this rate, if Andrew is having 20 people over to his house for dinner, how many pounds of turkey will he need?
12.5 lbs
100
Helen walks to school 3.2 kilometers every morning. If a map of Alexandria uses a scale where 1 in represents 2 km, what distance on the map will represent the distance she walks to school every morning?
1.6 inches
100
A telephone booth that is 8 feet tall casts a shadow that if 4 feet long. Find the height of a lawn ornament that cast a 2 foot shadow.
4 feet
100
True or False: All circles are similar.
True
200
A proportional two-dimensional drawing of an object.
scale drawing
200
Jordan is making a scale model of his favorite car. The actual car is 8 feet long and 4 feet wide. If Jordan wants his model to be 12 inches in length, what will be the width of his model?
6 inches
200
Tavaris wants to visit a friend in Maryland and has checked a map with a scale of 1/2 inch = 3 miles. If Tavaris measures the distance on the map from his house to his friend's house as 3 and 1/8 inches, how many miles away is his friends house?
18 and 3/4 miles
200
A tent that is 6 feet tall standing next to a cardboard box casts a 9 feet shadow. If the cardboard box casts a shadow that is 6 feet long how tall is the tent.
4 feet
200
A triangle DEF has sides with the following lengths: DE is 45, EF is 39 and FD is 42. Triangle XYZ has sides with the lengths: XY is 30, YZ is x, and ZX is 28. If DEF and XYZ are similar, what is the value of x?
x=26
300
A method of using proportions to find an unknown length or distance in similar figures.
indirect measurement
300
A tree casts a shadow 9 meters long. At the same time, a building 54 meters tall casts a shadow 21 meters long. To the nearest meter, what is the height of the tree?
23 meters
300
On a map, the distance between Milvale and Dracut is 1
1/4 inches. If the map uses a scale of 1/4 inch represents 1 mile, what is the actual distance in miles from Milvale to Dracut?
5 miles
300
A statue that is 12 feet tall casts a shadow that is 15 feet long. Find the length of the shadow that a 8 feet tall cardboard box casts at the same time.
10 feet
300
If triangle ABC is similar to JKL, write a true proportion that relates the sides of these triangles.
example: A/J = C/L
400
Figures that have the same shape but not necessarily the same size.
similar figures
400
Sammy used 5 yards of fabric to make 2 football uniforms. How many yards of fabric would he need to make 24 more uniforms?
60 yards
400
Diego is building a 1:35 scale model of a spaceship. If the height of his model is 18 inches, what is the height of the real spaceship?
630 inches
400
A 6.5 feet tall car standing next to an adult elephant casts a 33.2 feet shadow. If the adult elephant casts a shadow that is 51.5 feet long then how tall is the elephant to the nearest tenth of a foot.
10.1 feet
400
Triangle FOX is similar to triangle FAN. Which side corresponds with side FA?
side FO
500
True or False: Scale drawings are always smaller than the objects they represent.
False
500
Rachel's dogs ate 42 pounds of food during July. At that rate, how many days would a 100-pound bag of dog food would last? (to the nearest day)
74
500
John would like to take a trip to escape the cold weather. He knows the distance between Alexandria, VA and Orlando, Florida is 840 miles. The distance between the two cities on the map he is using is 10.5 inches. What is the scale of the map he is using?
1in : 80 miles
500
If a 42.9 feet tall flagpole casts a 23.1 feet long shadow then how long is the shadow that a 6.2 feet tall woman casts to the nearest tenth of a foot.
36.6 feet
500
If the triangle MOE is similar to SAW, what can be said about the angles MEO and SWA?