Geometry Inequality Theorems Quiz

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11 Questions

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

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

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

x = 8

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

y = 77.5

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

Supplementary angles

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

mZREA = mZCEA

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

Triangle Inequality Theorem 3

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

ET > IT

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

Triangle Inequality Theorem 1

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

25 and 22

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

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

Test your understanding of geometry inequality theorems, including the Triangle Inequality Theorem and the Hinge Theorem, with these challenging questions.

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