Triangle Inequality Theorem: Determining if Angles and Side Measures Form a Triangle

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Mathematics
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10th - 12th Grade
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Medium
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sum of the interior angles of a triangle according to the Triangle Sum Theorem?
90 degrees
360 degrees
270 degrees
180 degrees
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If three angles add up to 180 degrees, what can be concluded about these angles?
They form a square
They form a triangle
They form a pentagon
They form a hexagon
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which theorem helps determine if three side lengths can form a triangle?
Converse Theorem
Triangle Sum Theorem
Triangle Inequality Theorem
Pythagorean Theorem
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the Triangle Inequality Theorem, what must be true for any two sides of a triangle?
Their sum must be less than the third side
Their sum must be twice the third side
Their sum must be equal to the third side
Their sum must be greater than the third side
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the sides of a triangle are 2, 14, and 18, can they form a triangle?
Yes, because 2 + 18 is greater than 14
No, because 14 + 18 is not greater than 2
Yes, because all sides are positive
No, because 2 + 14 is not greater than 18
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following sets of side lengths can form a triangle?
5, 5, 10
3, 4, 8
6, 7, 12
1, 2, 3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of adding the sides 8, 9, and 3 to check if they form a triangle?
They do not form a triangle
They form a triangle because 9 + 3 > 8
They form a triangle because 8 + 9 > 3
They form a triangle because 8 + 3 > 9
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