Ratios
Proportions
Word Problems
Similar Figures pt 1
Similar Figures pt 2
100

Simplify the ratio. Write your answer in the same format.

18:54

1:3

100

Solve for x.

x = 30

100

The measure of two complementary angles are in the ratio 6:4. What is the measure of the smallest angle?

36^o

100

What is the symbol for similarity? List the two ways to prove triangles are similar. 

~

all corresponding angles are congruent 

all corresponding sides are proportional 

100

Are the figures below similar? Why or why not?


Not Similar. The sides are not proportional and we cannot determine if the angles are congruent. 

200

The height of a book is 8 inches and the height of the bookshelf is 3 feet. What is the ratio from the height of the book to the height of the bookshelf? 

Answer can be in any of the following formats.

2:9

2 to 9

2/9

200

Finish writing the following ratios using the proportion 

a/b = 5/3


1.) b/a = ? / ?

b/a = 3/5

200

The measure of three supplementary angles are in the ratio 4:7:9. What are the measures of all three angles?

36^0 , 63^0 , and 81^0

200

Write an extended ratio for all the sides of the figure below.

(AD) / (WZ) , (DC) /(?), (?)/(?) , (?)/(?)

(AD) / (WZ) , (DC) / (ZY) , (CB)/ (YX) , (BA) / (XW) 

200

Are the figures below similar or not. 

Not Similar 

300

Write an example of your own ratio and simplify it.

Answers will vary.

300

Solve for y.


y = 4

300

The school is selling chocolate bars for a fundraiser. They plan to sell 330 bars of chocolate. The ratio of number of snickers bars to the number of twix bars will be 8 to 7. How many chocolate bars sold were snickers and twix?

Snickers bars: 176

Twix bars: 154

300

Find the scale factor of Triangle BCD to Triangle HIJ.


3/2

300

If QRST ~ DEFG, solve for x.

 



x = 8