Show:
Finding Sides
and Basic Similarity
Similarity Theorems
Proportionality
Theorems
Area and Perimeter
Similarity
100


Find the scale factor between the two polygons.

k = 4/3 or 3/4

100

State whether or not the two triangles are similar, if so then state by what similarity theorem.

△XYZ ∼ △UYW by AA similarity

100

Find ZY

x = 28.6

100

Find the ratio of the perimeters between the two rectangles.

k = 2/3 or 3/2

200

The polygons are similar, find the missing side.

x = 22.5

200

State whether or not the two triangles are similar, and if so then by what similarity theorem

△XZV ∼ △XYW by SAS similarity

200

Determine whether or not PS || QR

Yes

200

Find the ratio between the areas of the two rectangles.

k = .44 or 2.25

300

Identify the type of segment shown in blue and find the value of x.

Altitude 

x = 24

300

State whether or not the two triangles are similar, and if so state by what similarity theorem.

△SVR ∼ △UVT by AA similarity

300

Find JM

JM = 19.2

300

The area of the smaller rectangle is given. Find the area of the larger rectangle.

Area = 108ft^2

400

The two polygons are similar, find the values of x and y.

x = 7.5

y = 20

400

Which of the three triangles are similar, and by what similarity theorem?

△LMN ∼ △YZX by SSS similarity

400

Find the value of x

x = 9.75

400

The perimeter of a larger polygon is 120 yd. If the ratio between the perimeters is 1/6, find the perimeter of the smaller polygon.

20 yd

500



The polygons are similar, find the missing side

x = 7.5

500

State what value of x makes the two triangles similar as well as by what similarity theorem

x = 4

SSS similarity

500

Find the value of x which makes PQ || RS

x = 5

500

Describe and correct the error in finding the area of the largrer rectangle.

The square of the ratio of their corresponding side lengths should be set equal to the ratio of their areas.

Larger area = 216