Word Problems
Similar or Not
Find the Scale Factor
Similarity Theorems
Mixed Review
100
An original photograph is 4 inches wide by 6 inches high. An ad agency is increasing the size of the photo to 20 inches wide. This is the height of the new photo.
What is 30 inches?
100
True or False: All circles are similar to one another. Justify your answer!
What is TRUE? Any circle is a DILATION of ANOTHER, and therefore similar to all other circles.
100
A square with side length 6 cm was dilated from a square with side length of 3 cm. This is the scale factor.
What is 2?
100
What are the 3 ways you can prove triangles are similar?
What are AA, SSS, SAS?
100
What type of line divides a triangle for Side Splitter theorem to apply?
What is a parallel line?
200
A tree casts a shadow of 12 feet. At the same time, a 2 foot tall stick casts a 1 foot shadow. This is the height of the tree. Draw a diagram!
What is 24 feet?
200
True or False: All rectangles are similar. Draw a picture(s) to support your answer.
What is FALSE?
200
A regular octagon with side length of 11 cm was dilated from a regular octagon with a side length of 22 cm. This is the scale factor.
What is 1/2?
200
These three kinds of corresponding parts are required to use the SSS Similarity Theorem.
What are 3 pairs of proportional sides?
200
A line has a slope of -3 and y-intercept of 10. This is the equation for the line.
What is y = -3x + 10?
300
The real statue of liberty is 46 meters base to torch and the width of the crown is 3 meters. A scale model is to be made to be 23 inches tall, how wide should the crown be made?
What is 1.5 meters?
300
Similar or not? Triangle 1 has sides 5, 7, 8 and Triangle 2 has sides 15, 21, 24.
What is yes --> 5/15=7/21=8/24?
300
A triangle has a base of 15 inches and was dilated from a triangle with base 2 inches. This is the scale factor.
What is 7.5?
300
These three kinds of corresponding parts are required to use the SAS Similarity Theorem.
What are 2 pairs of proportional sides and congruent angles between them?
300
The answer to 1/2 + 4/5.
What is 13/10 or 1 3/10?
400
TV sizes are reported by the diagonal length. A 40" SmartTV has a horizontal length of 35". A similar SmartTV has a horizontal length of 22". This is the diagonal length of the TV to the nearest 10th of an inch.
What is 25.1"?
400
The original rectangle has dimensions 6 by 8. The second rectangle 32 by 24.
What is yes --> 6/24 = 8/32?
400
Mr. Newman built a scale model of a building to 1:16 scale. The length of the real building was 48 feet, this is the length of the scale model.
What is 3 feet?
400
This is the missing measure.
What is 6?
400
The distance between Seattle and Boston is 3,043 miles. The distance on a map in Mr. Newman's house is 17 inches. This is the scale in ______: ____ format.
What is 1 inch:179 miles?
500
A 3 ft vertical post casts a 24 inch shadow at the same time a pine tree casts a 30 foot shadow. How tall is the pine tree?
What is 45 feet?
500
Triangle 1 has side lengths 6, 10, 14 and Triangle 2 has side lengths 20, 50, 70.
What is NO -> 6/20 reduces to 3/10 and 10/50 is equivalent to 2/10 (not 3/10)?
500
The scale factor for the lengths of two similar rectangles is 2. If the area of the first rectangle is 8 cm2, what is the area of the new rectangle?
What is 32 cm2?
500
Two triangles are similar with corresponding sides having a ratio of 3:5. What is the area of the larger triangle if the area of the smaller triangle is 25 cm squared?
What is 41.2 cm squared?
500
The solution to the system of equations:
y = 3x - 2 and
2x + y = 23
What is (5, 13)?