Introduction to Trigonometry | Mathematics - Quizizz

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Introduction to Trigonometry

10th grade

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Slide 1
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Introduction to Trigonometry
Text
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Slide 2
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Objectives
Identify the sides of right-angled triangles
Calculate complementary angle of right-angled triangles
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Slide 3
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History
The word trigonometry comes from the Greek words trigon (triangle) and metria (measurement).

Originally trigonometry was used as an aid in the study of astronomy.
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Slide 4
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Name Sides in Right-Angled Triangles
The Hypotenuse
The opposite side
The adjacent side
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Slide 5
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Complementary Angles
The three angles in any triangle add to 180°.
Since one angle in a right-angled triangle measures 90°, the other two angles must add to 90° to make up the 180°.
The two acute angles in any right-angled triangle are complementary angles (ie add to 90°).
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Slide 6
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Label Sides
Use the two CAPITAL letters at its ends.
Use one lower case letter which matches the opposite vertex (corner).
Side GH can be called f.
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Question 7
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Q.
The side adjacent to angle
$\theta$ is ...
answer choices
LM
LN
MN
<p>LM</p>
alternatives
<p>LN</p>
<p>MN</p>
answer explanation
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Question 8
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Q.
The hypotenuse is ...
answer choices
LM
LN
MN
<p>LM</p>
alternatives
<p>LN</p>
<p>MN</p>
answer explanation
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Question 9
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Q.
What is the name given to the longest side of a right-angled triangle?
answer choices
Hypotenuse
Opposite
Adjacent
<p>Hypotenuse</p>
alternatives
<p>Opposite</p>
<p>Adjacent</p>
answer explanation
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Question 10
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Q.
The side opposite to angle
$\theta$ is ...
answer choices
LM
LN
MN
<p>LM</p>
alternatives
<p>LN</p>
<p>MN</p>
answer explanation
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Question 11
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Q.
The side ‘next to’ the marked angle is called:
answer choices
Hypotenuse
Touching
Adjective
Adjacent
<p>Hypotenuse</p>
alternatives
<p>Touching</p>
<p>Adjective</p>
<p>Adjacent</p>
answer explanation
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Question 12
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Q.
Which of the following has the longest side?
answer choices
LM
LN
MN
<p>LM</p>
alternatives
<p>LN</p>
<p>MN</p>
answer explanation
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Question 13
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Q.
What is the opposite angle to the side with length 12 m?
answer choices
angle A
angle B
angle C
<p>angle A</p>
alternatives
<p>angle B</p>
<p>angle C</p>
answer explanation
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Question 14
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Q.
Which angle must be the right angle for this triangle?
answer choices
angle A
angle B
angle C
<p>angle A</p>
alternatives
<p>angle B</p>
<p>angle C</p>
answer explanation
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Question 15
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Q.
Complementary angles add together to give:
answer choices
90⁰
180⁰
360⁰
<p>90<sup>0</sup></p>
alternatives
<p>180<sup>0</sup></p>
<p>360<sup>0</sup></p>
answer explanation
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Question 16
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Q.
What is the size of angle P?
answer choices
90⁰
24⁰
66⁰
76⁰
<p>90<sup>0</sup></p>
alternatives
<p>24<sup>0</sup></p>
<p>66<sup>0</sup></p>
<p>76<sup>0</sup></p>
answer explanation
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Question 17
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Q.
What is the size of the missing angle in this triangle?
answer choices
20⁰
30⁰
90⁰
160⁰
<p>20<sup>0</sup></p>
alternatives
<p>30<sup>0</sup></p>
<p>90<sup>0</sup></p>
<p>160<sup>0</sup></p>
answer explanation
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Question 18
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Q.
Insert a capital letter to make this statement true.

Side opposite angle B = Side adjacent to angle ...
answer choices
A
B
C
<p>A</p>
alternatives
<p>B</p>
<p>C</p>
answer explanation
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Question 19
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Q.
Choose the response that correctly completes this statement.

The side adjacent to angle R is also:
answer choices
adjacent to angle P
opposite angle P
opposite angle R
<p>adjacent to angle P</p>
alternatives
<p>opposite angle P</p>
<p>opposite angle R</p>
answer explanation
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Question 20
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Q.
What is the complement of 50⁰?
answer choices
90⁰
50⁰
40⁰
30
<p>90<sup>0</sup></p>
alternatives
<p>50<sup>0</sup></p>
<p>40<sup>0</sup></p>
<p>30</p>
answer explanation
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Question 21
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Q.
In which of these diagrams are all sides correctly named, with respect to angle P?
answer choices

alternatives

answer explanation
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