A right triangle has sides 3 units and 4 units. What is the length of its third side?
5
100
What does SOH CAH TOA stand for?
Sine Ratio= Opposite/Hypotenuse
Cosine Ratio= Adjacent/Hypotenuse
Tangent Ratio= Opposite/Adjacent
100
How do you find the sum of the interior angles of a polygon?
(n-2)180= sum of interior angles, where n=number of sides of a polygon
100
Inscribed angles =___ of their arc
1/2
100
Cat, Human, Cube, Flower
Which of the above does not have a face?
Flower
200
A ladder is propped against a house. The base of the ladder is 7 ft away from the house and it reaches 6 ft up the side of the home. What is the length of the ladder?
Sq. root of 85
200
Explain how you would solve for theta given the sides opposite and adjacent to theta.
Tangent Theta = Opposite/ Adjacent... Take the inverse tangent of the decimal to find the degree measure of theta.
200
In quadrilateral ABCD, angle B= 120 and angle D= 40. What is the sum of angle A + angle C?
angle A + angle C = 200
200
A triangle with angles 100, 40, 40 is inscribed in a circle. What are the measures of each arc?
200, 80, 80
200
What kind of triangle is made by the following points: (0,5); (5,0); (0,-5); (-5,0)?
None, they form a rhombus
300
The hypotenuse of a right triangle has a length of 7. If one leg has a length of 2.4, what is the length of the other leg?
6.6
300
Given a right triangle with a hypotenuse of 7 and an angle of 30 degrees. Sin 30=.5; cos 30=.87; tan 30=.58
What is the length of the side adjacent to the 30 angle?
HINT: Special Right Triangle 30-60-90
6.09 or 3.5 sq. root of 3
300
What is the sum of the exterior angles of a regular polygon and why?
The sum of the exterior angles of a regular polygon is 360 degrees because a regular polygon can be inscribed in a circle.
300
Explain the difference between major and minor arcs.
Major=arc that is more than a semi-circle >180 degrees. Named with 3 points
Minor=arc smaller than semi-circle <180 degrees. Named with 2 points.
300
What is the Pythagorean theorem?
a^2 + b^2 = c^2
400
Given that the length of one leg of a triangle is 5 and the hypotenuse length is 10. What is the length of the remaining leg?
Sq. root of 75
400
Two part question: Name the law of sines. Can this only be used with right triangles?
a/sin A= b/sin B= c/sin C, NO is can be used with any triangle
400
Find the value of one interior angle of a regular octagon.
135
400
The measure of arc QS is 140, what is the measure of the inscribed angle opposite of it?
70
400
What is the difference between supplementary and complementary angles?
Supplementary angles add up to 180 degrees; complementary angles add up to 90 degrees
500
A new street is being constructed to re-route drivers around the exterior of a triangular community garden. The new route has lengths of 57 units and 39 units, which form a right angle. The old street connects both lengths of the new route much like a hypotenuse. About how many extra miles will the new street run compared to the old route?
69
500
What is the law of cosines?
c^2=a^2+b^2-2(a)(b)cos C
500
What is the sum of the interior angles of a do-decagon?
1800
500
Arc AB is 45 degrees, what is the sum of the remaining arc?
Classify the the arc as a major or minor arc.
315; Major
500
Describe deductive reasoning.
Use LOGIC to draw conclusions based on accepted statements... If you know one piece of info, then you can come up with other info based on what you know.