Intro to Trig Ratios- Labeling Adj, Opp, and Hyp

Intro to Trig Ratios- Labeling Adj, Opp, and Hyp

by Sydney Elkin

​Labeling Sides

​When using trigonometric ratios, labeling the sides correctly is VERY IMPORTANT.

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​If you label the sides incorrectly, you will end up with the wrong answer.

​Reference Angle

When completing trig problems, you will always know at least 2 angles- the 90° angle and the reference angle.

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​You will identify your sides based on the reference angle.

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​Sometimes this angle is called Θ (theta).

Label your sides

Opposite- the side across from your reference angle. ​

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​Adjacent- the side between the reference angle and the right angle

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​Hypotenuse- the longest side, it's across from the right angle.

Draw

Highlight the reference angle

Draw

Highlight the side adjacent to the reference angle.

Draw

Highlight the side opposite to the reference angle.

Draw

Highlight the hypotenuse.

Multiple Choice

What side is opposite $$\angle W$$  ?

• VW

• VX

• WX

Multiple Choice

What is the length of the hypotenuse $$\Delta WVX$$  ?

• 21

• 28

• 35

• 49

Multiple Choice

What the name of the hypotenuse?

• VW

• VX

• WX

Multiple Select

Name the side adjacent to  $$\angle S$$ . 

• UT

• SU

• ST

Multiple Select

What side is opposite to  $$\angle S$$ ? 

• UT

• SU

• ST

Multiple Select

Check all TRUE statements:

• $$\overline{PQ}$$   is opposite  $$\angle R$$  

• $$\overline{QR}$$  is the hypotenuse

• $$\overline{RQ}$$ is adjacent to  $$\angle R$$  

• $$\overline{PR}$$  is the hypotenuse

Multiple Choice

Which statement is true:

• The length of the side adjacent to undefined is 24

• The length of the side adjacent to undefined is 32

• The length of the side adjacent to undefined is 40

Multiple Choice

Which statement is true:

• The length of the hypotenuse is 5

• The length of the hypotenuse is 12

• The length of the hypotenuse is 13

• The length of the hypotenuse is 17

Multiple Choice

The side opposite $$\angle L$$  is:

• JK

• KL

• LJ

Multiple Choice

Which statement is true in reference to $$\angle I$$ : 

• opposite side = 27, adjacent side = 45, hypotenuse = 36

• opposite side = 45, adjacent side = 36, hypotenuse = 27

• opposite side = 36, adjacent side = 27, hypotenuse = 45

Multiple Select

$$\angle E$$  is the reference angle. Check all statements that are true:

• 50 is the length of the opposite side of  $$\angle E$$  

• 48 is the length of the adjacent side of  $$\angle E$$  

• 50 is the length of the hypotenuse.

• 14 is the adjacent side of $$\angle E$$  . 

Multiple Choice

Identify the side opposite $$\angle C$$ . 

• $$\angle B$$  

• 20

• AB

• 29

Multiple Select

Check all statements that are true.   The hypotenuse can be represent by: 

• 29

• 21

• 20

• BC

Multiple Choice

The length of the side adjacent to  $$\angle C$$  is:  

• BC = 29

• AC = 20

• AB = 21

Multiple Select

Which statements are true:

•  The sum of the angles of $$\Delta JKL=180\degree$$

• The side opposite  $$\angle L$$ is KJ which is 12

• The length of the hypotenuse is 13.

• The side adjacent toundefinedis KL which is 5.