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Quiz 2

Total questions: 20

Worksheet time: 24mins

Name
Class
Date
1.

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

a)

greater than

b)

less than

c)

equal to

2.

Determine if the set of segment having the following lengths can form a triangle:

9 cm, 5 cm, 15 cm

a)

Triangle

b)

Not a Triangle

3.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
4.

What theorem states that "If the length of one side of a triangle is longer than the other side, the angle opposite the longer side is larger than the angle opposite of the other side".

a)

Side to Angle Inequality Theorem

b)

Angle to Side Inequality Theorem

5.

What theorem states that "If one angle of a triangle is larger than the other angle, then the side opposite the larger angle is longer than the side opposite the other angle".

a)

Angle to Side Inequality Theorem

b)

Side to Angle Inequality Theorem

6.

Compare m∠ACB and m∠GDE.

a)

mACB > mGDEm\angle ACB\ >\ m\angle GDE

b)

mACB < mGDEm\angle ACB\ <\ m\angle GDE

c)

mACB = mGDEm\angle ACB\ =\ m\angle GDE

d)

ACB  GDE\angle ACB\ \cong\ \angle GDE

7.

Which of ∠2, ∠4, and ∠6 has the largest measure?

a)

∠2

b)

∠4

c)

∠6

8.

Using the figure, choose the correct symbol to be used.

∠7 _____ ∠2

a)

<

b)

>

c)

=

9.

Identify the remote interior angles for angle 6.

a)

2 and 3

b)

2 and 5

c)

3 and 5

d)

5

10.
Using the hinge theorem, we can say that AB _____ DC
a)
Greater than
b)
Less than
c)
Equal to
d)
Half of 
11.

Compare QT and ST

a)

QT < STQT\ <\ ST

b)

QT > STQT\ >\ ST

c)

QT = STQT\ =\ ST

d)

QT  ST\overline{QT}\ \cong\ \overline{ST}

12.
Using the hinge theorem, we can say that Angle 1 _____ Angle 2.
a)
Less than
b)
Greater than
c)
Equal to 
d)
Half of
13.

What theorem states that "If two sides of a triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second triangle".

a)

Triangle Inequality Theorem

b)

Exterior Angle Inequality Theorem

c)

Hinge Theorem or SAS Inequality Theorem

d)

Converse of Hinge Theorem or SSS Inequality Theorem

14.

Mark has proved that BS > BW. Which of the following statements is not part of his proof?

a)

ES ≅ EW

b)

EB ≅ EB

c)

∠SEB > ∠WEB

d)

∠W < ∠S

15.

For 3 points

Fill in the blank with the correct answer.

4 lines
16.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
17.
State the angle relationship and find the measure of angle 1
a)

Corresponding Angles

110°

b)

Alternate Exterior Angles

110°

c)

Corresponding Angles

70°

d)

Alternate Exterior Angles

70°

18.
What word describes line Z?
a)
Transversal
b)
Parallel
c)
Corresponding
d)
Same side interior
19.
a)

corresponding angles

b)

alternate interior angles

c)

alternate exterior angles.

20.
a)

corresponding angles

b)

same side interior angles

c)

same side exterior angles.