Ratios
Proportions
Similar Polygons
Similar Triangles
Junk
100

Simplify the ratio.

5:4 or 

5/4

100

Solve the proportion 

y = 6

100

Tell whether the statement is sometimes, always, or never true.


Two Rhombuses are similar. 


Sometimes

100

△RST ~ △XYZ. List all pairs of congruent angles and corresponding sides. 

angleR cong angleX

angleS cong angleY

angleT cong angleZ

RS to XY

ST to YZ

RT to XZ

100

Determine if the two triangles are similar. Explain how. 

Yes, AA~ 

angle N cong angle Z

angle MYN cong angle XYZ

200

Find the ratio of the width to the length of the rectangle. Then simplify the ratio.

1:32 or 

1/32

200

Solve the proportion.

t = 30

200

Determine whether the polygons are similar. If so, write the similarity ratio and a similarity statement.

Not similar polygons

200

Given △XYW ~ △XZV, find ZV.

ZV = 34

200

The ratio of the model car’s dimensions to the actual car’s dimensions is 1:56. The model has a length of 3 in. What is the length of the actual car?

168 inches or 14 feet

300

The measures of the angles of a triangle are in the extended ratio 3:5:10. Find the measures of the angles of the triangle.

30°, 50°, 100°

300

Solve the proportion

j = 1

300

Determine whether the polygons are similar. If so, write the similarity ratio and a similarity statement.


2:1 ratio, Rectangle RSTU ~ Rectangle WXYZ

300

What is the similarity ratio between the two triangles?

2:3

300

Find the length of BD.  

BD = 11.67

400

The measures of the angles of a triangle are in the extended ratio 11:12:13. Find the measures of the angles of the triangle.

55°, 60°, 65°

400

Solve the proportion

m = ±5sqrt3

400

Find x

x = 5

400

The lengths of the legs of right triangle ABC are 3 feet and 4 feet. The shortest side of △UVW is 4.5 feet and △UVW ~ △ABC. How long is the other leg of △UVW?

6 feet

400

Solve the proportion. 

y = 15

500

the ratio of two side lengths for the triangle is given. Solve for the variable.

q = 6.5

500

The perimeter of a rectangular room is 66 feet. The ratio of its length to its width is 6 : 5. Find the length and width of the room. 

Length = 18 feet

Width = 15 feet

500

Leonardo da Vinci’s famous portrait the Mona Lisa is 30 in. long and 21 in. wide. TJ has a refrigerator magnet of the painting that is 3.5 cm wide. What is the length of the magnet?

5cm

500

Which pyramids are similar? 

Pyramids A and C

500

A geologist wants to measure the length XY of a rock formation. To do so, she locates points U, V, X, Y, and Z as shown. What is XY? 

40 feet

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