Proportion Word Problems
Are the triangles similar? Are they congruent?
Potpurri
General Ratios/Proportions
100
The ratio of boys to students in a class of 17 boys and 22 girls.
17/39 or 17:39
100
Triangle MLN and Triangle ABC are similar. LM=8, Find x using the proportion of the corresponding sides.
x = 4 or AB = 4
100
This Atlanta based rapper gained meme notoriety when it was found that he was actually born in the UK.
21 Savage
100
The value of x in the proportion:
x/3 = 3/9
x=1
200
It takes one large deep dish pizza to feed 3 hungry Chicagoans. If you invite 36 people to your party, how many pizzas will you need?
x =12
200
What can we say about △ABC and △DEF?
(1) △ABC and △DEF are similar and congruent.
(2) △ABC and △DEF are similar but not congruent.
(3)
What can we say about △ABC and △DEF?
(1) △ABC and △DEF are similar and congruent.
(2) △ABC and △DEF are similar but not congruent.
(3) △ABC and △DEF are neither similar nor congruent.
(1) △ABC and △DEF are similar and congruent.
200
This Atlanta based rapper has created hits such as "Put It On Da Floor" and "Big Mama" was featured on the song "Seven" with BTS member Jungkook.
Latto
200
What is the value of x?
x/5=8/20
x=2
300
The park ranger stocks the children’s fishing pond keeping a ratio of 4 sunfish to 3 perch. If he puts 300 sunfish into the pond, how many perch should be put into the pond?
225 Perch
300
Are these triangles similar?
No.
6/10 =/= 3/4
300
This rapper's real name is actually Rodarius Marcell Green.
Rod Wave
300
What is the value of x?
2/5 = x/250
x=100
400
Dunbar has 1,575 students. The student to teacher ratio is 15 to 1. How many teachers are at Dunbar?
105 teachers
400
△ABC and △DEF are similar triangles. What is the length of
\overline(EF)
(line segment EF)? (Remember to include units in answer).
2.5 km
400
This iconic rapper created the albums "Pink Friday", "Roman Reloaded", and "The Pinkprint".
Nicki Minaj
400
3/5 = 6/(x+3)
x = 7
500
Because of slumping sales, a small company had to lay off some of its employees. The ratio of total employees to employees laid off is 5 to 1. Find the total number of employees if 22 are laid off.
110 Employees
500
What can we say about the similarity and congruency of △ABC and △XYZ? Your answer should include the similarity AND congruency of △ABC and △XYZ.
We can say that △ABC and △XYZ are similar triangles but we do NOT know if they are congruent triangles. We need to know the lengths of the triangles to judge if they are congruent.
500
This person is the greatest of all time. (Tutors will judge answers.)
Mr. Lee
500
What is the value of x?
3/5 = 6/(2x)
x=5