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Geometry Inequality Theorems Quiz

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Questions and Answers

What is the condition for creating a triangle with three line segments?

The lengths of one line segment must be longer than the lengths of the other two line segments combined.

The lengths of all line segments must be equal.

None of the lengths of line segments are longer than the lengths of the other two line segments combined. (correct)

The lengths of two line segments must be equal.

What is the value of x that will make lines m and n parallel, given the angles and their measures?

x = 10

x = 6

x = 8 (correct)

x = 12

What is the value of y in the equation /BEC = 2y + 3, given the angle measures?

y = 90

y = 77.5 (correct)

y = 43.5

y = 55

What type of angle pair is 21 and 28, given the transversal line?

Supplementary angles Signup and view all the answers

What is the correct conclusion about the two triangles, given the angle measures and side lengths?

mZREA = mZCEA Signup and view all the answers

What is the inequality theorem that states S1 + S2 > S3 for one triangle?

Triangle Inequality Theorem 3 Signup and view all the answers

Which of the following is a correct conclusion about the triangles in figure 12?

ET > IT Signup and view all the answers

What is the theorem that justifies the conclusion in item number 19?

Triangle Inequality Theorem 1 Signup and view all the answers

Which of the following pairs of angles are vertical angles where lines a || b and cut by transversal t?

25 and 22 Signup and view all the answers

What is the range of possible lengths of the third side of a triangle with sides of 17 and 20 units?

between 4 and 21 Signup and view all the answers

Can we form a triangle with line segments that have lengths of 5, 6, and 9 units?

No, because the line segments don't satisfy the triangle inequality theorem Signup and view all the answers