Scale Factor
Similar Polygons
Proving Triangles Similar by AA
Proving Similarity by SSS and SAS
TSwifttttt
100
Find the Scale Factor
4/3
100
The polygons are similar. Find the value of x.
x = 12
100
Determine whether the triangles are similar. If they are, write a similarity statement.
no; m∠R = 60°
100
Determine whether △JKL or △RST is similar to △ABC.
△RST
100
What is Taylor Swift’s new album called?
The Tortured Poets Department
200
Find the Scale Factor.
1/3
200
The polygons are similar. Find the value of x.
x = 11
200
Determine whether the triangles are similar. If they are, write a similarity statement.
yes; ∠H ≅ ∠J and ∠F ≅ ∠K, so △FGH ∼ △KLJ.
200
In Exercises 5 and 6, find the value of x that makes △DEF ∼ △XYZ.
x = 6
200
What is Taylor Swift's second album?
Fearless
300
Find the scale factor.
3/4 or 0.75
300
The polygons are similar. Find the values of x and y.
x = 7.5, y = 166
300
Are the two triangles similar? If so, write a similarity statement.
∠N ≅ ∠Z and ∠MYN ≅ ∠XYZ (vertical angles), so △MYN ∼ △XYZ.
300
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
300
What are Taylor Swift's cat's names?
Benjamin, Meredith, Olivia
400
The polygons are similar. The area of one polygon is given. Find the area of the other polygon.
Area = 90 square cm
400
The polygons are similar. Find the values of x and y.
x = 35.25, y = 20.25
400
Are the two triangles similar? If so, write a similarity statement.
∠Q ≅ ∠MPN (corresponding angles) and ∠N ≅ ∠N, so △LNQ ∼ △MNP.
400
Are the two triangles similar? If so, write a similarity statement. Explain our reasoning.
∠ACB ≅ ∠DCE and CE/CB = DC/AC, so △ABC ∼ △DEC.
400
Name the song:
"Cause the players gonna play, play, play, play, play..."
Shake It Off
500
The polygons are similar. The area of one polygon is given. Find the area of the other polygon.
108 Square Feet
500
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.
500
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.
500
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)
500
How long was Taylor Swift shown on TV during the Super Bowl?
ONLY 54 seconds