Similarity/Transformations
Similar Triangles
Trig
More Trig/Special Right Triangles
Additional Triangles
100

a) Which similarity theorem proves that the triangles are similar?

b) If CE = 30, find CB (round to the nearest tenth)

a) AA Similarity

b) CB = 11.5

100

Find the geometric mean of 16 and 4.

What is 8 ?

100

In the figure, what is the tangent, sine, and cosine ratios of the given angle?

What is tana = 8/15, sina = 8/17, and cosa = 15/17?

100

Find the angle A, B, and C. Round to the nearest tenth.

What is A=53.1, B=90, C=36.9?

100

Solve for x.  Round to the nearest tenth.

x=21.3

200

Find the altitude of the triangle and the area?

What is altitude = 8 in and area = 80 in2?

200

∆XYZ is similar to ∆ABC.  Write all three ratios of corresponding sides and all three pairs of congruent angles.

∠X=∠A, ∠Y=∠B, ∠Z=∠C

XY/AB = YZ/BC = XZ/AC

200

Find the angle to the nearest tenth of a degree.

What is 28.1 degrees?

200

The length of the diagonal of a square is 26.  What is the length of each side?  Leave answer in simplified radical form.

What is 13√2?

200

Find x and the perimeter of the following triangle:

x = 8√2, Perimeter = 16√2 + 16

300

Solve the following proportion:

4/(x-2)=(x+2)/8

x = -6 and x = 6

300

List the three similarity theorems used to prove that two triangles are similar.

What is AA, SAS, and SSS Similarities?

300

What trig function would you use to find AC.

What is sin?

300

Find side c?

What is 8√3?

300

Draw and label the sides of the two special triangles.  Use 'x' as the variable to label the sides.  Determine the following based on the pictures you drew:

a) sin(60)

b) tan(45)

c) cos(45)

a) √3/2

b) 1

c) √2/2

400

The two triangles are similar.  Find x.

x = 12

400

Find the value of x. (Don't worry, the answer will not be a whole number)

What is 4/3 or 1.33?

400

Find the height of the plane.

What is 500 ft.?

400

Find the perimeter of the triangle in simplest radical form:

Perimeter = 

4sqrt(5)+20

400

Find the perimeter of the trapezoid (Leave in simplified radical form):

Perimeter = 24 +8√2

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