WorksheetsTriangle Trigonometry, Rotation, and Pythagorean Quiz
Total questions: 21
Worksheet time: 5hrs 15mins
Which of the following describes a 90-degree left rotation of a triangle around the origin in the coordinate plane?
The triangle is flipped over the x-axis.
The triangle is flipped over the y-axis.
The triangle is rotated counterclockwise by 90 degrees.
The triangle is rotated clockwise by 90 degrees.
Given a right triangle with one angle measuring 30 degrees, what is the measure of the other non-right angle?
30 degrees
45 degrees
60 degrees
90 degrees
In a right triangle, if the lengths of the two legs are 3 and 4, what is the length of the hypotenuse?
5
6
7
8
Which trigonometric ratio is used to find the length of the opposite side of a right triangle when the angle and hypotenuse are known?
Sine
Cosine
Tangent
Cotangent
If sin(θ)=21 , what is the measure of angle θ in degrees?
30 degrees
45 degrees
60 degrees
90 degrees
A right triangle has a hypotenuse of length 10 and one leg of length 6. What is the length of the other leg?
4
6
8
9
Which trigonometric function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle?
Sine
Cosine
Tangent
Secant
In a right triangle, if tan(θ)=43 , what is the ratio of the opposite side to the adjacent side?
43
34
31
41
What is the Pythagorean theorem formula?
a2+b2=c2
a2−b2=c2
a2+b2=c
a+b=c2
If a right triangle has one angle measuring 30 degrees with the hypotenuse measuring 6 units. What is the length of the adjacent leg? Round to the nearest whole number.
3
4
5
6
A triangle is rotated 180 degrees around the origin. What is the effect on the coordinates of its vertices?
The x-coordinates are negated.
The y-coordinates are negated.
Both x and y coordinates are negated.
The coordinates remain unchanged.
In a right triangle, if one angle is 45 degrees, what is the measure of the other non-right angle?
30 degrees
45 degrees
60 degrees
90 degrees
Which trigonometric function is defined as the ratio of the opposite side to the adjacent side in a right triangle?
Sine
Cosine
Tangent
Cosecant
If tan(θ)=1 , what is the measure of angle θ in degrees?
30 degrees
45 degrees
60 degrees
90 degrees
A right triangle has legs of lengths 5 and 12. What is the length of the hypotenuse?
10
13
15
17
Which trigonometric ratio is used to find the length of the adjacent side of a right triangle when the angle and hypotenuse are known?
Sine
Cosine
Tangent
Secant
If sin(θ)=23 , what is the measure of angle θ in degrees?
30 degrees
45 degrees
60 degrees
90 degrees
A triangle is rotated 270 degrees counterclockwise around the origin. What is the effect on the coordinates of its vertices?
The x-coordinates become the y-coordinates, and the y-coordinates become the negative x-coordinates.
The x-coordinates become the negative y-coordinates, and the y-coordinates become the x-coordinates.
Both x and y coordinates are negated.
The coordinates remain unchanged.
In a right triangle, if cos(θ)=21 , what is the measure of angle θ in degrees?
30 degrees
45 degrees
60 degrees
90 degrees
Which would you choose to find the degree of an angle?
Sine to the negative 1
Cosine
Tangent
Secant
Bonus: worth an extra point!
if a triangle has hypotenuse = 14, adjacent angle = 60 degrees, what is the measure of the adjacent side?
The adjacent side would measure 7.
