Pythagorean Theorem Proofs
Altitudes
Special Triangles & Complementary Angles
Solving for Angles
Solving for Sides
100
What goes in the blank for statement 2?
JIK
100
Which segment is the altitude?
h
100
What type of angles are
alpha and beta ?
complementary
100
What trig function is used to find x?
SIN
100
What is the ratio of cosA?
21/35
200
What goes in the blank for reason 3?
proportional
200
What is the altitude rule?
h2=x ⋅ y
200
Leg = 16 and Hypotenuse = 32
What angle measure is opposite the side with length 16?
30 degrees
200
Find the value of x. Round to the nearest tenth.
28.1 degrees
200
You want to find the height (vertical) of the tree. What trig function and ratio should be used. Write the whole equation. Use x for the height.
SIN(57°) = x/30 or COS(33°)=x/30
300
Fill in the blanks
a2= cf and b2 = ce
300
What is the leg rule for a?
a2=y ⋅ c
300
In a right triangle, leg 1 = 16 and the hypotenuse = 32. What is the measure of the other leg?
16 square root 3
300
ΔABC ~ ΔDEF
Which angles have a TAN ratio of 4/3 ?
∠A & ∠D
300
What is the horizontal distance from the bottom of the kite string to the tree? Round the nearest tenth.
16.3 feet
400
Fill in the blank
addition property of equality
400
What is the value of a?
6
400
If cos
beta=2/5
, what is the sin
alpha
2/5
400
What is the measure of ∠CAD?
60 degrees
400
What ratio of sides does TAN(30°) equal?
TAN(30°)=(a-15)/b
500
Fill in the blank
segment addition postulate
500
What is the value of x? Round the the nearest tenth.
5.3
500
sinA = J and cosA = H. What is sinC - cosC?
H-J
500
What is the measure of ∠DAB ? Round to the nearest tenth.
96.9 degrees
500
TAN(45°)-TAN(30°) = ?/b
15 or a - (a-15)