Finding Sides
and Basic Similarity
and Basic Similarity
Similarity Theorems
Proportionality
Theorems
Theorems
Area and Perimeter
Similarity
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