Question 1

What theorem of inequality will you use if the problem gives or requires information about the relationship of the sides or interior angles of a triangle?

Accepted Answer

Triangle Inequality

Answer

Triangle Equality

Answer

Hinge Theorem

Answer

Exterior Angel Inequality

Question 2

What theorem of inequality will you use If the problem gives or requires information about the relationship of the exterior and interior angles of a triangle?

Accepted Answer

Exterior Angle Inequality

Answer

Hinge Theorem

Answer

Triangle Equality

Answer

Triangle Inequality

Question 3

Which of the following sides can be used to form a triangle with sides measuring 7 units and 17 units?

Accepted Answer

11 Units

Answer

7 units

Answer

10 units

Answer

24 units

Question 4

What is a valid conclusion in the given figure?

Accepted Answer

∠x < ∠y

Answer

∠x > ∠y

Answer

∠x > ∠150°

Answer

∠y > ∠150°

Question 5

From the two triangles, which is true?

Accepted Answer

∠R > ∠U

Answer

∠E > ∠U

Answer

∠E < ∠B

Answer

∠U < ∠R

Question 6

In the triangles below, which correctly describes the value of X?

Accepted Answer

AC < x

Answer

AC > x

Answer

AD < x

Answer

AC = x

Question 7

Which given set of numbers are lengths of sides of a triangle?

Accepted Answer

5, 5, 5

Answer

5, 6, 1

Answer

3, 2, 1

Answer

2, 4, 6

Question 8

What is the range of the possible lengths of the third side of ∆SAP if SA = 5 and PA = 2.5?

Accepted Answer

7.5 > x > 2.5

Answer

2 < x < 7

Answer

2.5 > x > 7.5

Answer

7.5 < x < 2.5

Question 9

In the triangles below, which correctly describes the value of Y?

Accepted Answer

y > 16

Answer

y > 15

Answer

y < 16

Answer

y < 15

Question 10

What is the range of values for EN in the given figure?

Accepted Answer

$\frac{5}{2}>EN>\frac{5}{6}$

Answer

$\frac{5}{2}>EN>\frac{5}{6}$

Answer

$\frac{5}{2}>EN>\frac{5}{6}$

Answer

$\frac{5}{2}>EN>\frac{5}{6}$

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