Triangle Trigonometry, Rotation, and Pythagorean Quiz

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

• 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?

https://www.desmos.com/scientific

• 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

What is the Pythagorean theorem formula?

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.

https://www.desmos.com/scientific

• 3

• 4

• 5

• 6