Equilateral Triangle Practice

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Question 1
Which of the following triangles are equilateral triangles?

identify all the equilateral triangles

Answer

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A. I & III
B. I & IV
C. II & III
D. II & IV
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Step by Step Solution 

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Step 1
For triangle I, it has three sides of equal length (5ft). Hence, it is an equilateral triangle.
Triangle I is an equilateral triangle
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Step 2
As for triangle II, it is not an equilateral triangle. This is because each of its internal angle is not 60°.
Triangle II is not an equilateral triangle
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Step 3
As for triangle III, not all the sides have the same length. Therefore, it is not an equilateral triangle.
Triangle III is not an equilateral triangle
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Step 4
For triangle IV, its internal angles are 60° each. This means that all the sides of the triangle have the same length. Hence, this is an equilateral triangle.
Triangle IV is an equilateral triangle
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Step 5
Clearly, only triangle I and IV are equilateral triangles. Therefore, the answer is B.
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