One triangle has angles measuring 30, 60, 90 and the second triangle has angles measuring 30, 60, 90.
What is similar due to AAA postulate.
100
Joe is exactly 6 feet tall and casts a 9 foot shadow. At the same time a flag pole casts a 45 foot shadow. This is the height of the flag pole.
What is 30 feet.
100
This is the ratio of x to y.
3x/4 = 2y/5
What is 8:15 or 8/15?
100
A regular polygon with a side length of 10 units corresponds to a similar regular polygon with side length 8 units. This is the scale factor.
What is 4/5 or 0.8?
100
If a 20 ounce soda is increased by 20%, this is the new volume.
What is 24 ounces?
200
Two line segments, AB and CD intersect at point E to form Triangles AEC and BED. Line segments AC and BD are parallel. Is triangle AEC similar to triangle BED?
What is similar due to AA theorem (Angle ACE and BDE are congruent due to alt. interior angles and Angle AEC and Angle BED are congruent - vertical angles)
200
A mirror is positioned 3' from a student and 10' from the wall. The student can see the top of the wall in the mirror. If the students eye level is 5' 6", this is how tall to (to the nearest inch) the wall is.
What is 18' 4" tall?
200
This is the proportion of x to y.
3x/4y = 12/16
What is 1:1 or 1?
200
A new polygon has gone through a scale factor of 1.02. This means it has gone though this type of transformation.
What is dilation?
200
An image on a photocopy is shrunk from 8" by 6" to 6" by 4.5". What is the percent decrease?
What is 25% decrease?
300
Triangle ABC has side lengths 12, 16, and 20 and Triangle DEF has side lengths 36, 64, 100.
What is not similar, due to SSS as the ratio of the shortest sides are 1:3 while the ratio of the longest sides are 1:5.
300
This is the distance (to the nearest centimeter) a girl who is 1.4 meters tall must stand from a 15 meter tall tree so that the sunlight just touches the top of her head if the tree casts a 12 meter shadow.
What is 10.88 meters.
300
This is the proportion of x:y
3x/22 = 2y/8
What is 11/6 or 11:6?
300
Sphere A has a circumference of 12 cm and Sphere B has a circumference of 6 cm. What is the scale factor of their surface areas?
What is 1/4 or .25?
300
After a 120% increase in production a machine is now producing 1,020 Chia-Pets per hour. This was the original amount of Chia-Pets per hour.
What is 850 Chia-Pets per hour.
400
Two lines AB and CD intersect at point E.
AE = 12
EB = 4
CE = 9
ED = 3
What is similar due to SAS.
400
A wire is strung in a straight line from a point on the ground through the tops of two poles. The height of each pole (respectively) is 1.2 m and 3 m. If the distance from the first pole to the second pole is 10 meters, this is the distance between where the wire meets the ground and the last pole (to the nearest cm).
What is 6.67 meters.
400
This is the ratio of x to y.
5 / (2y - 4x) = 9 / (3x + y)
What is 13:51 or 13/51?
400
A cube goes through a reduction of 1/10. What is the reduction in volume?
What is 1/1000?
400
Mr. Newman's house was valued at $245,000 went through a percent decrease of 2.3%. This is the new value.
What is $239,365?
500
A small rectangle has an area of 200 cm^2 and a large rectangle has an area of 800 cm^2. The perimeter of the smaller rectangle is 215 cm and the larger rectangle has a perimeter of 430 cm.
What is similar due to the fact that to be similar, the scale factor of the perimeter was x4 and the scale factor of the area was x16 which is the perimeter scale factor squared.
500
Two poles (one is 10 meters and the other is 15 meters) are 20 meters apart. Two wires a strung from the top of one pole to the bottom of the other. How high from the ground do the two wire intersect?
What is 6 meters?
500
This is the ratio of x to y.
(2y + 2x)/3 = (7x + y)/5
What is 7:11 or 7/11?
500
A large shape has a volume of 125,000 cm3 and a similar shape has a volume of 1,000 cm3. This is the ratio of the surface area?
What is 1/25?
500
If Pierre's baseball cards increased in value by 25% the first year he had them and then lost 25% in value the second year he had them, this is the total % lost/gained.