Free Printable 2.3-2.4 PL & T

1.

Match the following:

a)

1.

Same-side Interior Angles

b)

2.

Alternate Exterior Angles

c)

3.

Alternate Interior Angles

d)

4.

Corresponding Angles

2.

If $\overline{AB}\parallel\overline{CD}$ , what is the value of x?

a)

x = 31

b)

x = 10

c)

x = 25

d)

x = 7.5

3.

A taxi way is being constructed that intersects two parallel runways at an airport. The $m\angle1\ =\ 79\degree$ .

What is the $m\angle2$ ?

a)

$97\degree$

b)

$79\degree$

c)

$101\degree$

d)

$11\degree$

4.

If $m\angle1\ =\ 117\degree$ , what is the $m\angle2\ and\ m\angle3$ respectively?

a)

$117\degree,\ 180\degree$

b)

$63\degree,\ 117\degree$

c)

$180\degree,\ 117\degree$

d)

$117\degree,\ 63\degree$

5.

What value of x would make $m\parallel n$ ?

a)

12

b)

25

c)

21

d)

13

6.

Find the measure of x?

a)

0

b)

53

c)

35

d)

Not enough information

7.

What does the value of x have to be to prove the lines parallel if $\angle2=\left(3x-5\right)\degree$ and $\angle8=\left(x+17\right)\degree$ ?

a)

11

b)

42

c)

6

d)

51

8.

Find the value of x that makes $a\parallel b$ .

(a)

9.

Given: $a\parallel b$ .

Find the value of y that makes $b\parallel c$ .

(a)

10.

a)

5

b)

24

c)

2

d)

11

11.

Which statement can be used to prove that two lines are parallel.

a)

$m\angle1\cong m\angle7$

b)

$m\angle6\cong m\angle7$

c)

$m\angle5+m\angle1\ =180\degree$

d)

$m\angle4\cong m\angle5$

12.

To prove that $l\parallel m$ , which theorem or postulate can be used as a reason that $\angle2\cong\angle3$ ?

a)

Converse of Consecutive Interior Angles Theorem

b)

Converse of Alternate Interior Angles Theorem

c)

Corresponding Angles Converse Postulate

d)

Vertical Angles Theorem

13.

What is the value of x?

a)

50

b)

130

c)

100

d)

180

14.

Find the value of y.

a)

40

b)

120

c)

105

d)

50

15.

Tony and Leah looked in the sky and saw the smoke trail of two planes that intersected. Tony believes the angles are vertical. Leah believes the angles are linear pairs. Who is correct and what would be the $m\angle2$ if $m\angle1=45\degree$

a)

Tony; $m\angle2=45\degree$

b)

Leah; $m\angle2=135\degree$

c)

Tony; $m\angle2=135\degree$

d)

Leah; $m\angle1=45\degree$

16.

Find the measure of the angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

17.

The Triangle Sum Theorem states that the sum of all interior angles in a triangle equals ______.

a)

45°

b)

90°

c)

180°

d)

360°

18.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

19.

Solve for x.

a)

16

b)

11

c)

50

d)

6

20.

Solve for x THEN find the degrees for angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

21.

If all three angles are exactly the same measure, how big is each angle?
Hint: x + x + x = 180

a)

180 degrees

b)

90 degrees

c)

50 degrees

d)

60 degrees

22.

How are < 4 and < 5 related to triangle ABC ?

(a)

23.

Name two remote interior angles of < 4.

a)

< 1

b)

< 2

c)

< 3

d)

<5

24.

Name two remote interior angles of < 5.

a)

< 1

b)

< 2

c)

< 3

d)

< 4

25.

The m< 5 = 100 degrees. The m< 2 = 55 degrees.

Find the m< 1 (a) __ _____

Find the m< 3 (b) _______

Find the m< 4 (c) _______

Choose from the below words

<3=60*

<1=55*

<4=155*

<1=45*

<3=80*

<4=125*

<3=40*

<1=155*

<4=55*

26.

The acute angles of a right triangle are

a)

supplementary

b)

linear

c)

complementary

d)

60°

27.

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
m∠4 = m∠1 + m∠2

a)

Triangle Sum Theorem

b)

Exterior Angle Theorem

c)

Third Angles Theorem

d)

Congruent Triangles Theorem

28.

Find the measure of angle A.

a)

75^o

b)

60^o

c)

30^o

d)

38^o

29.

Find the measure of the indicated angle.

a)

95°

b)

85°

c)

35°

d)

45°

30.

These two lines will intersect. Select the best answer

a)

True, it is not shown in the picture

b)

Maybe, you need to see more of the picture

c)

False, parallel lines never meet or intersect

d)

False, it was given that these are parallel lines, thus they will never meet by the parallel line postulate

31.

You can draw more than one line that connect these two points

a)

True, you can draw many lines of different colors

b)

False, a basic postulate is that there is only one line possible between two points

c)

True, you can draw parallel lines between these two points

d)

True, you can draw intersecting lines between these two points

32.

Which of these are true of a postulate - there is more than one.

a)

We must prove them to be true

b)

We accept them to be true

c)

They are true because they are obvious, like the meaning of the term "point".

d)

Two lines intersect at only one point would be an example of a postulate

33.

Find the value of x by using the exterior angle theorem.

a)

A

b)

B

c)

C

d)

D

34.

Find the value of y

a)

100

b)

180

c)

40

d)

50

35.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

36.

Find the value of x

a)

10

b)

52

c)

9

d)

7

37.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

38.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

39.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

40.

Solve for the measure of ?

a)

$49\degree$

b)

$58\degree$

c)

$70\degree$

d)

$94\degree$

2.3-2.4 PL & T

Total questions: 40

Worksheet time: 2hrs 32mins

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