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Trigonometry Challenge: Angle Mastery

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Trigonometry Challenge: Angle Mastery

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About this activity

21 tough trig riddles

Created by

John Zeus Peralta
John Zeus Peralta
Philippines

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Trigonometry Challenge: Angle Mastery
 

Trigonometry Challenge: Angle MasteryOnline version

21 tough trig riddles

by John Zeus Peralta
1

I am the name given to angles sharing a terminal side where one may be reached from another by adding or subtracting full rotations. What am I?

Written answer

2

If you start with an initial side on the positive x-axis and rotate counter-clockwise to a terminal side at 270°, which special angle label am I closest to, and what is my measure?

3

I am an angle whose terminal side lies along an axis. If I sit on the x-axis, what kind of angle am I and what are the typical measures that qualify me as such?

4

Two rays start at the same point. If the rotation from the initial to the terminal side is positive for counter-clockwise and negative for clockwise, what concept does this describe?

5

I am defined as an angle with a measure between 90° and 180°. If someone tells you I’m between 90° and 180°, what am I called and what is my approximate range?

6

There exists an angle that is exactly half of a straight line. What is it called and what is its measure?

7

I am the angle whose measure equals exactly 180°, and I look like a straight line. Who am I?

8

Which type of angle has a measure greater than 180° but less than 360°, and is often described as ‘turning beyond a straight line’?

9

If an angle is labeled by Greek letters and can be named with capital letters as well, what is the common practice this describes in angle naming?

10

Consider a set of angles that share the same terminal side but differ by full rotations. What are these angles called, and do their measures differ?

11

If you have an angle whose terminal side aligns with the y-axis, which category does it belong to and why is this important for angle classification?

12

Imagine a rotation from the initial side to the terminal side that is exactly 360°. What is the classification and the nature of such a rotation?

13

Which two angle types are defined by whether their sum reaches exactly 90° or 180°?

14

I am a side that starts on the positive x-axis and a rotation to a second side defines my measure. What am I called and what is the central idea behind my naming?

15

If you rotate from the initial side counter-clockwise to the terminal side and then keep turning around the full circle, what simple property do all such angles share?

16

If one of us is 40°, Together we form 90°. Who is my partner?

Written answer

17

All my sides are different. No equality here.

Written answer

18

All my angles are equal, Each one 60°

Written answer

19

My sides measure 5, 5, and 8.

20

I solve triangles using ratios of sides. What branch of math am I?

Written answer

21

Two rays meet at a common endpoint on a flat surface. What is formed?

Written answer
 
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