Find the Scale Factor
4/3
The polygons are similar. Find the value of x.
x = 12
Determine whether the triangles are similar. If they are, write a similarity statement.
no; m∠R = 60°
Determine whether △JKL or △RST is similar to △ABC.
△RST
What are your teachers' names?
Mr. Odoom & Ms. Braatz
Find the Scale Factor.
1/3
The polygons are similar. Find the value of x.
x = 11
Determine whether the triangles are similar. If they are, write a similarity statement.
yes; ∠H ≅ ∠J and ∠F ≅ ∠K, so △FGH ∼ △KLJ.
In Exercises 5 and 6, find the value of x that makes △DEF ∼ △XYZ.
x = 6
What is the largest desert in the world?
Sahara
Find the scale factor.
3/4 or 0.75
The polygons are similar. Find the values of x and y.
x = 7.5, y = 166
Are the two triangles similar? If so, write a similarity statement.
∠N ≅ ∠Z and ∠MYN ≅ ∠XYZ (vertical angles), so △MYN ∼ △XYZ.
Verify that △ABC ∼ △DEF. Find the scale factor of △ABC to △DEF.
△ABC: BC = 18, AB = 15, AC = 12
△DEF: EF = 12, DE = 10, DF = 8
What month of the year has 28 days?
ALL of them
The polygons are similar. The area of one polygon is given. Find the area of the other polygon.
Area = 90 square cm
The polygons are similar. Find the values of x and y.
x = 35.25, y = 20.25
Are the two triangles similar? If so, write a similarity statement.
∠Q ≅ ∠MPN (corresponding angles) and ∠N ≅ ∠N, so △LNQ ∼ △MNP.
Are the two triangles similar? If so, write a similarity statement. Explain our reasoning.
∠ACB ≅ ∠DCE and CE/CB = DC/AC, so △ABC ∼ △DEC.
When Amazon was founded, what product was initially sold?
Books
The polygons are similar. The area of one polygon is given. Find the area of the other polygon.
108 Square Feet
In table tennis, the table is a rectangle 9 feet long and 5 feet wide. A tennis court is a rectangle 78 feet long and 36 feet wide. Are the two surfaces similar? Explain. If so, find the scale factor of the tennis court to the table.
no; Corresponding side lengths are not proportional.
A flagpole casts a shadow that is 50 feet long. At the same time, a woman standing nearby who is 5 feet 4 inches tall casts a shadow that is 40 inches long. How tall is the flagpole to the nearest foot?
The flagpole is 80 feet tall.
Certain sections of stained glass are sold in triangular, beveled pieces. Which of the three beveled pieces, if any, are similar?
The pieces with side lengths of 5.25 inches and 7 inches (blue and red)
How many years must pass before you can celebrate a centennial?
100