Classifying Triangles
Trigonometry
Radicals & Special Right Triangles
Dilations
Similarity & Proportions
100

Given the sides lengths 15,16, 21, determine whether the triangle is acute, right, obtuse, or not a triangle.

Acute

100

In right triangle ABC, angle C is 90 degrees. If the Sine of B is .9659. What is the measure of Angle A?

15 degrees

100

Simplify sqrt(270)

3sqrt(30)

100
A scale factor of 3:2 represents a.......enlargement or reduction?

Enlargement

100

Solve for x:  5/6 = (x+2)/9

5.5

200

Given the sides lengths 20,23, 41, determine whether the triangle is acute, right, obtuse, or not a triangle.

Obtuse

200

If the cosine of an angle is 4/5, then what is the Sine of that angle?

3/5

200

Simplify: (3sqrt(20))/(sqrt(5))

6

200

D0,3(5, 3) = _______

(15, 9)

200

The ratio of two supplementary angles is 3:5. Find the measure of each angle. 

67.5 and 112.5

300

Given the sides lengths 10,24, 26, determine whether the triangle is acute, right, obtuse, or not a triangle.

Right

300

In a right triangle, if the ratio of the side opposite a given angle to the hypotenuse is .9848, then what is the measure of the angle?

80 Degrees

300
In a 30-60-90 triangle, the side opposite 30 is 8cm. What are the lengths of the other two sides?

8sqrt(3) and 16

300

The center of dilation is G and the scale factor is 2. Find A' given G(1, 5) and A(5, 8). 

A'(9, 11)
300

A 3 ft stick is broken into two pieces. The ratio of the two pieces is 5 : 7. How long are the two pieces. 

15 and 21 inches

400

Given the sides lengths 6,13, 20, determine whether the triangle is acute, right, obtuse, or not a triangle.

Not a triangle

400

In a given triangle ABC, Angle A is 35 degrees, side BC is 11.5 cm and Angle C is 70 degrees. Find the length of side AB. (round to two decimal places)

18.84 cm

400

In a 45-45-90 triangle, the side opposite 90 is 5sqrt(24). What are the lengths of the other two sides?

10sqrt(3)
400

The center of dilation is G and the scale factor is 1/3. Find A' given G(-2, -5) and A(1, 13). 

A'(-1, 1)

400

Finish this statement: Two figures are similar if......

....the ratios of their corresponding sides are equal. 
500

Given the sides lengths 3,16, 17, determine whether the triangle is acute, right, obtuse, or not a triangle.

Obtuse

500

In triangle ABC, AC = 12cm, AB = 10cm, and BC = 18cm. Find the measure of Angle A. Round to the nearest degree.

109 Degrees

500

Is it possible for two sides of a 30-60-90 triangle to be 8cm and 12cm? Explain

No, 12 is not double 8 and 12 is not 8sqrt(3). Also, if 12 is the hypotenuse, the short leg would have to be 6 and the long leg 6sqrt(3). 

500

Given  D0,2P(x,y) = P'(-4, 10) then P(x, y) is

P(-2, 5)

500
Finish this statement: Two proportions are equivalent if....

....they have equal cross products.