Chapter Vocabulary
8-1 Pythagorean Theorem & Converse
8-2 Special Right Triangles
8-3/8-4 Trig Ratios/Angles of Elevation & Depression
Miscellaneous
100
________________________ are equivalent ratios for the corresponding sides of two triangles.
What are Trigonometric ratios.
100
State the Pythagorean Theorem
a^2 + b^2 = c^2
100
Find the value of each variable. If your answer is not an integer, express it in simplest radical form. (#8 on next tab)
What are x = 7, y = 7*sqrt(2)
100
Express sinA, cosA, and tanA as ratios. (#13 on next tab)
What is sinA = 2sqrt(19)/20 or sqrt(19)/10 cosA = 18/20 or 9/10 tanA = 2sqrt(19)/18 = sqrt(19)/9
100
Pythagoras was of this nationality.
What is the Greek
200
A(n) ________________________ is formed by a horizontal line and the line of sight above that line.
What is angle of elevation.
200
Find the value of x. If your answer is not an integer, express it in simplest radical form. (#4 on next tab)
What is 2*sqrt(113)
200
Find the value of each variable. If your answer is not an integer, express it in simplest radical form. (#9 on next tab)
What is x = 5*sqrt(2)
200
Express sinA, cosA, and tanA as ratios. (#14 on next tab)
What is sinA = 16/20 or 4/5 cosA = 12/20 or 3/5 tanA = 16/12 or 4/3
200
The Pythagorean Theorem says that if triangle ABC is a right triangle then a^2 + b^2 = c^2. c always represents this side of a right triangle.
What is the hypotenuse
300
A set of three nonzero whole numbers that satisfy a^2+b^2=c^2 form a(n) __________________________.
What is Pythagorean Triple
300
Find the value of x. If your answer is not an integer, express it in simplest radical form. (#5 on next tab)
What is 17
300
Find the value of each variable. If your answer is not an integer, express it in simplest radical form. (#10 on next tab)
What is x = 6*sqrt(3), y = 12
300
Find the value of x to the nearest tenth. (#15 on next tab)
What is 16.5
300
True or False: the Egyptians used the Pythagorean Theorem for land measurement.
What is true
400
A number that is the square of a whole number is called a ___________ square.
What is perfect
400
Find the value of x. If your answer is not an integer, express it in simplest radical form. (#6 on next tab)
What is 12*sqrt(2)
400
Find the value of each variable. If your answer is not an integer, express it in simplest radical form. (#11 on next tab)
What is x = 7, y = 7*sqrt(3)
400
Find the value of x to the nearest tenth. (#16 on next tab)
What is 33.1
400
Can an isosceles triangle be a right triangle?
What is yes
500
The Pythagorean Theorem and Trig Ratios only apply to this kind of triangle.
What is a right triangle.
500
Find the value of x. If your answer is not an integer, express it in simplest radical form. (#7 on next tab)
What is 9*sqrt(3)
500
A square garden has sides 50 ft long. You stretch a hose from one corner of the garden to another corner along the garden’s diagonal. To the nearest tenth, how long is the hose?
What is 70.7 ft
500
While flying a kite, Linda lets out 45 ft of string and anchors it to the ground. She determines that the angle of elevation of the kite is 58 degrees. What is the height of the kite from the ground? Round to the nearest tenth.
What is 38.2 ft
500
This symbol was used by the Pythagoreans.
What is the pentagram