Scale Factor
Similar Polygons
Proving Triangles Similar by AA
Proving Similarity by SSS and SAS
Misc
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 are your teachers' names?

Mr. Odoom & Ms. Braatz

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 the largest desert in the world?

Sahara

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 month of the year has 28 days?

ALL of them

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

When Amazon was founded, what product was initially sold?

Books

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 many years must pass before you can celebrate a centennial?

100