Definitions
Procedural Fluency
Pythagorean Theorem
Theorems
Special Triangles
100
What is an acute angle?
What is an angle measuring greater than 0 degrees and less than 90 degrees.
100
What is the exact value of cos 45°
What is √2/2
100
If the legs of a right triangle equal 7 ft. and 24 ft., what is the hypotenuse?
What is 25 ft.
100
What is the Angle Sum Theorem?
What is the sum of the measures of the interior angles of a triangle equal 180 degrees.
100
If you have a 45 45 90 triangle, and the legs are 15 inches, what is the missing leg's length rounded to the nearest hundredth?
What is 21.21 inches
200
What is the hypotenuse?
What is the longest side of a right triangle, opposite the right angle.
200
What is a coterminal angle for 225°? (negative only)
What is -135°, -495°, -855°...
200
If the hypotenuse of a right triangle is 15 and one of the legs is 9, what is the length of the other leg? (exact value)
What is 12
200
What is the Pythagorean Theorem?
What is a2 + b2= c2
The sum of the squares of the two legs is equal to the square of length of the hypotenuse of a right triangle.
200
If you have a 30 60 90 triangle, and the hypotenuse equals 72 ft., what are the other two side lengths? (SIG FIG)
What is 36 ft. & 62 ft
300
What is formed when when two rays share the same endpoint?
What is an angle.
300
What is the reference angle for 155°?
What is 25°.
300
If the hypotenuse of a right triangle equals 15.6 cm. and one leg equals 9.9 cm., how many cm. is the missing leg? (SIG FIG)
12.1 cm
300
This is an example of what theorem?
What is the Angle Sum Theorem?
300
If you have a 45 45 90 triangle, and the legs are 15 inches, what is the missing leg's length rounded to the nearest hundredth?
21.21 inches
400
What is a Supplementary Angle?
What is if the two sum of two angles add up to one hundred degrees.
400
What is the coterminal for tan 25°?
What is cot 65°.
400
If the lengths of the legs of a triangle are 3√3 in. and 12 in., what is the length of the hypotenuse. (round to the nearest hundredth)
What is 12.40 in.
400
What is the Cofunction Theorem?
What is a trigonometric function of an angle is always equal to the cofunction of the complement of the angle.
400
Draw the two special right triangles. (angles and sides)
45 45 90 = x x x√2
30 60 90 = x x√3 2x
500
What are congruent triangles?
What are triangles with equal angle measures and equal sides.
500
cosθ= 0.8866 (round to the nearest hundredth)
27.55
500
Solve:
If the hypotenuse is 0.5 in. and one leg is 0.2 in., what is the length of the other leg? (round to the nearest hundredth)
What is 0.46 in.
500
This is an example of what theorem?
cos(θ)=sin(π/2−θ) and sin(θ)=cos(π/2−θ)
π = Pi
What is the Cofunction Theorem.
500
Find the missing angle and side lengths. (exact values)
Angle B = 60 degrees
AB = 8
AC = 8√3