a __________ is an equation stating that 2 ratios are equal
proportion
100
determine whether the ratios in this pair can form a proportion: 8/18, 20/45
yes
100
similar figures have 1. _____________ & 2. __________
1. corresponding angles with the same measure &
2. the lengths of corresponding sides form equal ratios
100
the ratio that compares a length in a drawing to the corresponding length in the actual object.
scale
200
Write a ratio in 3 ways, comparing the first quantity to the second: a week has five school days and two weekend days.
5 to 2, 5:2, 5/2
200
solve this proportion: 5/p = 20/24
6
200
A 5 ft person standing near a tree has a shadow 12 ft long. At the same time, the tree has a shadow 42 ft long. What is the height of the tree?
17.5 ft
200
Daily Double: A cake is shaped like a rectangle that is 13 in long and 9 in wide. There is one candle at each corner of the cake, and there are candles at 1-inch intervals along the edges of the cake. How many candles are there in all?
44 (try drawing a diagram and/ or solving a simpler problem)
300
Find the unit rate if you swim 500 yd in 3 min 20 s. (round to the nearest hundredth if necessary)
2.5 yd/s
300
Solve this proportion: 14/34 = x/51
21
300
Triangle ABC is similar to triangle DEF. The ratio of the lengths of corresponding sides is 2:5. The lengths of AB, DF, and BC are 6, 25, and 8 respectively. The measure of angle B is 90 degrees. Find the measure of DE
15
300
You are making a scale drawing with a scale of 2in = 17ft. Find the length of the drawing of the object that has an actual length of 51 ft.
6 in long
400
Science. The human heart beats an average of 2,956,575,000 times in 75 years. about how many times will the heart beat in 1 day?
108,000 times
400
Travel: a commercial jet takes 4.75 hours to fly 2,475 mi from NYC to LA. About how many hours will it take a jet flying at the same average rate to fly 5,470 mi from LA to Tokyo? Round to the nearest quarter of an hour.
10.5 hr
400
The pair of similar figures is on the board, Find the value of the variable.
y=81
400
Architecture: The height of a building in an architectural drawing is 10 in. Its actual height is 150 ft. What is the scale of the drawing?
1 in: 15 ft
500
What is the better buy? 12 oz of crackers for $2.69 OR 16 oz of crackers for 3.19?
the second choice is the better buy ($0.22/oz for 12 oz & $0.20 /oz for 16 oz.)
500
At at telethon, a volunteer can take 48 calls over a 4-hour shift. At this rate, how many calls can 12 volunteers take in a 4-hour shift?
576 calls
500
Flags: You want to enlarge a copy of the flag of the Philippines. The two flags will be similar. You want the longer side to measure 6 ft. How long should you make the shorter side?
3 ft
500
The scale of a map is 1cm/3.75km. Find the actual distance for this map distance: 50 mm
18.75 km (beware...50 mm should be converted to 5 cm)