WorksheetsANGLE PAIRS CUT BY TRANSVERSAL
Total questions: 174
Worksheet time: 7hrs 1mins
Identify the transversal line.
line a
line b
line c
none of the above
All of the ff. are corresponding angles EXCEPT:
∠1 & ∠5
∠4 & ∠8
∠1 & ∠2
∠2 & ∠6
Which of the ff. are alternate interior angles?
∠1 & ∠7
∠4 & ∠6
∠2 & ∠8
∠4 & ∠5
Which of the ff. are alternate exterior angles?
∠4 & ∠6
∠3 & ∠5
∠1 & ∠8
∠2 & ∠8
Which of the ff. are same-side interior angles?
∠4 & ∠5
∠1 & ∠8
∠2 & ∠7
∠3 & ∠5
What pair of angles are ∠1 & ∠5 ?
Same-side interior angles
Same-side exterior angles
Alternate interior angles
Corresponding angles
What pair of angles are ∠3 & ∠6 ?
Corresponding angles
Same-side interior angles
Alternate interior angles
Same-side exterior angles
What pair of angles are ∠2 & ∠8 ?
Alternate interior angles
Same-side exterior angles
Corresponding angles
Alternate exterior angles
What pair of angles are ∠4 & ∠6 ?
Alternate interior angles
Alternate exterior angles
Same-side interior angles
Corresponding angles
What pair of angles are ∠1 & ∠7 ?
Alternate exterior angles
Corresponding angles
Same-side exterior angles
Alternate interior angles
What type of angles are these?
Adjacent Angles
Linear Pair
Complementary Angles
Supplementary Angles
Vertical Angles
True or False: Angles 1, 2, and 3 are all adjacent angles
True
False
What is the relationship between ∠1 and ∠8 ?
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles
Same Side Exterior Angles
What is the relationship between ∠3 and ∠6 ?
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles
Same Side Exterior Angles
What is the relationship between ∠4 and ∠5 ?
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles
Same Side Exterior Angles
What is the relationship between ∠2 and ∠7 ?
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles
Same Side Exterior Angles
What is the relationship between ∠1 and ∠7 ?
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles
Same Side Exterior Angles
What is the relationship between ∠4 and ∠6 ?
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles
Same Side Exterior Angles
What is the relationship between ∠2 and ∠8 ?
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles
Same Side Exterior Angles
What is the relationship between ∠3 and ∠5 ?
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles
Same Side Exterior Angles
Which angles are corresponding?
∠1 and ∠6
∠1 and ∠5
∠1 and ∠2
∠1 and ∠4
Which angles are corresponding?
∠2 and ∠6
∠2 and ∠5
∠2 and ∠4
∠2 and ∠3
Which angles are corresponding?
∠7 and ∠6
∠7 and ∠5
∠7 and ∠4
∠7 and ∠3
Which angles are corresponding?
∠8 and ∠4
∠8 and ∠3
∠8 and ∠5
∠8 and ∠2
Which angles are corresponding?
∠8 and ∠4
∠8 and ∠3
∠8 and ∠5
∠8 and ∠2
Which angles are corresponding?
∠3 and ∠4
∠3 and ∠8
∠3 and ∠7
∠3 and ∠2
Angles 1 and 2 are...
Complementary
Congruent
Linear Pairs
Vertical Angles
Linear Pairs add to...
90°
180°
If ∠1=100° , then ∠2= _____?
90°
180°
80°
100°
If ∠1=115° , then ∠2= _____?
65°
75°
115°
100°
∠GPL and ∠HPK are...
Vertical Angles
Linear Pairs
What is the relationship between ∠2 and ∠3?
Vertical Angles
Linear Pair
Alternate Exterior Angles
Corresponding
What relationship exists between angles 2 and 3
Corresponding angles
Supplementary angles
Vertical angles
Alternate Exterior Angles
What relationship exists between angles 1 and 5
Corresponding angles
Supplementary angles
Vertical angles
Alternate Exterior Angles
Which angles are Corresponding Angles? ∠
∠4 and ∠8
∠5 and ∠4
∠1 and ∠4
∠6 and ∠4
Which Angles are Vertical Angles?
∠5 and ∠3
∠2 and ∠4
∠1 and ∠4
∠6 and ∠4
Which best describes the relationship between angles 7 and 8?
Corresponding angles
Same Side Interior Angles
Same Side Exterior angles
Supplementary Angles
Which Angles are congruent?
∠5 and ∠8
∠3 and ∠5
∠6 and ∠4
∠3 and ∠4
Name a pairs of vertical angles in the figure.
∠1 and ∠4
∠6 and ∠5
∠2 and ∠4
∠1 and ∠6
Name an angle in the figure that is adjacent to angle 2.
∠4
∠5
∠6
∠1
What is the angle relationship between the indicated angles in the diagram?
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Vertical Angles
Linear pair
What relationship exists between angles 2 and 3
Corresponding angles
Supplementary angles
Vertical angles
Alternate Exterior Angles
What relationship exists between angles 1 and 5
Corresponding angles
Supplementary angles
Vertical angles
Alternate Exterior Angles
Which angles are Corresponding Angles? ∠
∠4 and ∠8
∠5 and ∠4
∠1 and ∠4
∠6 and ∠4
Which Angles are Vertical Angles?
∠5 and ∠3
∠2 and ∠4
∠1 and ∠4
∠6 and ∠4
Which best describes the relationship between angles 7 and 8?
Corresponding angles
Same Side Interior Angles
Same Side Exterior angles
Supplementary Angles
Which Angles are congruent?
∠5 and ∠8
∠3 and ∠5
∠6 and ∠4
∠3 and ∠4
Name a pairs of vertical angles in the figure.
∠1 and ∠4
∠6 and ∠5
∠2 and ∠4
∠1 and ∠6
Name an angle in the figure that is adjacent to angle 2.
∠4
∠5
∠6
∠1
What is the angle relationship between the indicated angles in the diagram?
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Vertical Angles
Linear pair
4) Given the following two parallel lines cut by a transversal.
Which pair of angles represents alternate exterior angles?
∠4 and ∠8
∠7 and ∠5
∠1 and ∠2
∠6 and ∠5
3) Given the following two parallel lines cut by a transversal.
Which pair of angles represents alternate interior angles?
∠3 and ∠8
∠7 and ∠2
∠7 and ∠8
∠4 and ∠8
∠8 and ∠5 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Consecutive Exterior Angles
(Same-side Exterior Angles)
Corresponding Angles
None of these
∠3 and ∠2 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Consecutive Interior Angles
(Same-side Interior Angles)
Corresponding Angles
None of these
What is the value of x?
70
28
140
40
What is the measure of ∠2?
38
58
71
142
Which is not an example of parallel lines?
A line that passes through 2 or more coplanar lines is called a (a) .
Name the corresponding angle to angle 4.
angle 8
angle 6
angle 2
angle 5
A line segment that is parallel to segment JP
What line intersects two or more lines at distinct points?
intersecting
parallel
perpendicular
transversal
Which of the following is a pair of nonadjacent exterior angles on the opposite side of a transversal?
alternate exterior angles
alternate interior angles
corresponding angles
linear pair
What pair of nonadjacent interior angles are on the opposite side of a
transversal?
alternate exterior angles
alternate interior angles
complementary angles
corresponding angles
Which of the following pair of interior angle and exterior angle that are nonadjacent and on the same side of the transversal?
alternate exterior angles
alternate interior angles
complementary angles
corressponding angles
What is the sum of two exterior angles on the same side of the transversal?
45o
90o
180o
360o
Which is true about interior angles on the same side of the transversal?
adjacent
complementary
linear pair
supplementary
Which of the following statements is true?
Corresponding angles are equal.
Corresponding angles are complementary.
Corresponding angles are supplementary.
Corresponding angles are also linear pairs.
Which pair of angles are always equal?
Adjacent angles
Complementary angles
Alternate interior angles
Supplementary angles
Which is a transversal line in the figure above?
Which of the following statements is CORRECT when parallel lines are cut by a transversal?
The sum of the degree measure of corresponding angles is 180o.
The sum of the degree measure of complementary angles is 180o.
The angles in a vertical pair are acute.
Corresponding angles are congruent.
Which of the following are corresponding angles?
∠1 and ∠5, ∠2 and ∠6
∠1 and ∠7, ∠2 and ∠8
∠3 and ∠5, ∠4 and ∠6
∠3 and ∠6, ∠4 and ∠5
Which of the following are alternate interior angles?
∠1 and ∠5, ∠2 and ∠6
∠1 and ∠7, ∠2 and ∠8
∠3 and ∠5, ∠4 and ∠6
∠3 and ∠6, ∠4 and ∠5
Which of the following are alternate exterior angles?
∠1 and ∠5, ∠2 and ∠6
∠1 and ∠7, ∠2 and ∠8
∠3 and ∠5, ∠4 and ∠6
∠3 and ∠6, ∠4 and ∠5
Which of the following are same-side interior angles?
∠1 and ∠5, ∠2 and ∠6
∠1 and ∠7, ∠2 and ∠8
∠3 and ∠5, ∠4 and ∠6
∠3 and ∠6, ∠4 and ∠5
In the line t is perpendicular and transversal to line a and line b. Which statement is NOT correct?
∠1 and ∠6 are congruent angles.
∠1 and ∠4 form a linear pair.
∠2 and ∠3 are supplementary.
∠3 and ∠5 are congruent angles.
What is m∠4 if m∠6 = 78?
78o
88o
92o
102o
If m∠3 = 102, what is m∠8?
45o
78o
125o
135o
What is m∠2, if m∠7 = 102?
160o
150o
78o
20o
If m∠4 = 2x + 5 and m∠8 = x + 75, what is the value of x?
50o
60o
65o
70o
From the same given in number 19, what is the m∠8?
55o
75o
105o
145o
Which pairs of angles are alternate exterior angles? (Check all that apply)
∠1 and ∠5
∠1 and ∠8
∠5 and ∠8
∠5 and ∠4
∠4 and ∠8
Which pairs of angles are alternate interior angles? (Check all that apply)
∠2 and ∠6
∠2 and ∠3
∠2 and ∠7
∠6 and ∠3
∠3 and ∠7
Which pairs of angles are corresponding angles? (Check all that apply)
∠1 and ∠3
∠2 and ∠4
∠6 and ∠7
∠6 and ∠8
∠1 and ∠4
Which pair(s) of angles below are alternate interior angles? (check all that apply)
∠1 and ∠5
∠3 and ∠5
∠4 and ∠5
∠3 and ∠6
Which pair(s) of angles below are vertical angles? (check all that apply)
∠1 and ∠2
∠5 and ∠8
∠3 and ∠5
∠2 and ∠3
Which pair(s) of angles below are corresponding angles? (check all that apply)
∠1 and ∠5
∠3 and ∠7
∠2 and ∠6
∠4 and ∠8
Which pair(s) of angles below are supplementary angles? (check all that apply)
∠1 and ∠2
∠5 and ∠7
∠6 and ∠7
∠2 and ∠4
Which pair(s) of angles below are alternate exterior angles? (check all that apply)
∠1 and ∠8
∠1 and ∠7
∠7 and ∠8
∠2 and ∠7
What type of angles are ∠1 and ∠2 ?
Supplementary Angles
Vertical Angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
What type of angles are ∠1 and ∠2 ?
Supplementary Angles
Vertical Angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
What type of angles are ∠1 and ∠2 ?
Supplementary Angles
Vertical Angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
What type of angles are ∠1 and ∠2 ?
Supplementary Angles
Vertical Angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
What type of angles are ∠1 and ∠2 ?
Supplementary Angles
Vertical Angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
1. How many angles formed by parallel lines cut by a transversal?
(a)
2. In the Given Figure the encircle numbers ∠3 and ∠6,∠4 and ∠5 are an example of interior angles on the same side of transversal
TRUE
FALSE
3. Which are interior angles?
∠3,∠4, ∠5 and ∠6
∠1,∠2,∠7 and ∠8
4. What is the supplement of the given angles?
49
59
5. Find the value of x.
50
45
40
35
Which special angle pairs are shown in the picture?
Alternate Interior Angles
Alternate Exterior Angles
Same Side Exterior Angles
Corresponding Angles
What type of angles are labeled in the picture?
Same Side Exterior
Corresponding
Complementary
Alternate Interior Angles
∠1 and ∠2 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
Given the following two parallel lines cut by a transversal.
Which pair of angles represents corresponding angles?
∠1 and ∠6
∠6 and ∠5
∠7 and ∠8
∠4 and ∠8
Given the following two parallel lines cut by a transversal.
Which pair of angles represents alternate interior angles?
∠3 and ∠8
∠7 and ∠2
∠7 and ∠8
∠4 and ∠8
Given the following two parallel lines cut by a transversal.
Which pair of angles represents alternate exterior angles?
∠4 and ∠8
∠7 and ∠5
∠1 and ∠2
∠6 and ∠5
True or False:
If the following parallel lines are cut by a transversal, would∠2 and ∠6 be corresponding?
True
False
Given the following two parallel lines that have been cut by a transversal.
∠1 and which angle make up Alternate Interior angles?
∠6
∠5
∠3
∠1 and ∠5 are what kind of angles?
Alternate Interior Angles
Alternate Exterior Angles
Consecutive Interior Angles
Corresponding Angles
If the lines are parallel and cut by a transversal, then what type of angles are ∠1 and ∠5 ?
(a)
If the lines are parallel and cut by a transversal, then which angles are congruent to ∠7 ? Select all that apply
∠5
∠6
∠3
∠2
∠8
Which pairs of angles are found supplementary?
A. pair of interior angles on the same side of the transversal
B. pairs of alternate exterior angles
C. Vertical Angles
D. Adjacent Angles
If a pair of interior angles on the same side of the transversal is supplementary, then…
a pair of lines cut by the transversal is
perpendicular.
a pair of lines cut by the transversal is parallel.
a pair of lines cut by the transversal is skewed.
a pair of lines cut by the transversal is curve.
Which of the following is a pair of interior angles on the same side of the transversal?
angles 1 and 2
angles 4 and 6
angles 4 and 5
angles 1 and 8
Which of the following is a pair of exterior angles on
the same side of the transversal?
1 and 2
4 and 6
4 and 5
1 and 8
Which angle and measure is in the same side exterior pair with angle 2 whose measure is 970?
angle1 =830
angle 7 =830
angle 1=930
angle 7 = 930
What are alternate interior angles?
Alternate interior angles are supplementary.
Alternate interior angles are parallel.
Alternate interior angles are congruent.
Alternate interior angles are equal to 90 degrees.
When do alternate interior angles have the same measure?
When the lines are parallel but not perpendicular.
When the lines are parallel.
When the lines intersect.
When the lines are perpendicular.
What are corresponding angles?
Pairs of angles that are not equal in measure.
Pairs of angles that are adjacent to each other.
Pairs of angles that are opposite to each other.
Pairs of angles that are equal in measure.
When do corresponding angles have the same measure?
When two parallel lines are intersected by a transversal line.
When two intersecting lines are parallel to each other.
When two perpendicular lines are intersected by a transversal line.
When two lines are perpendicular to each other.
What are vertical angles?
A pair of adjacent angles formed by the intersection of two lines.
A pair of angles formed by the intersection of two parallel lines.
A pair of angles formed by the intersection of two perpendicular lines.
A pair of non-adjacent angles formed by the intersection of two lines.
When do vertical angles have the same measure?
When two lines intersect
When two lines are skew.
When two lines are perpendicular.
When two lines are parallel.
What are supplementary angles?
Two angles that add up to 90 degrees.
Two angles that add up to 270 degrees.
Two angles that add up to 360 degrees.
Two angles that add up to 180 degrees.
When do supplementary angles add up to 180 degrees?
When they form a right angle.
When they form a circle.
When they form a straight line.
When they form a triangle.
What are alternate exterior angles?
Pairs of angles that are on the same side of the transversal line and outside the two parallel lines.
Pairs of angles that are on the same side of the transversal line and inside the two parallel lines.
Pairs of angles that are on the opposite sides of the transversal line and outside the two parallel lines.
Pairs of angles that are on the opposite sides of the transversal line and inside the two parallel lines.
When do alternate exterior angles have the same measure?
When the lines are perpendicular.
When the lines are parallel.
When the lines intersect.
When the lines are parallel but not perpendicular.
1) Given the two parallel lines cut by a transversal.
What is the vertical angle to angle 4?
Angle 2
Angle 6
Angle 8
Angle 7
2) Given the following two parallel lines cut by a transversal.
Which pair of angles represents corresponding angles?
∠1 and ∠6
∠6 and ∠5
∠7 and ∠8
∠4 and ∠8
3) Given the following two parallel lines cut by a transversal.
Which pair of angles represents alternate interior angles?
∠3 and ∠8
∠7 and ∠2
∠7 and ∠8
∠4 and ∠8
4) Given the following two parallel lines cut by a transversal.
Which pair of angles represents alternate exterior angles?
∠4 and ∠8
∠7 and ∠5
∠1 and ∠2
∠6 and ∠5
5) True or False.
If the following parallel lines are cut by a transversal, would∠2 and ∠6 be corresponding?
True
False
10)Given the two parallel lines cute by a transversal,
What is the measure of ∠5 ?
(a)
11) Given the two parallel lines cut by a transversal,
What is the measure of ∠4 if m∠8=76° ?
(a)
∠3 and ∠7 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
∠5 and ∠6 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
∠2 and ∠3 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
What are alternate exterior angles?
A pair of angles on the outer side of two lines cut by a transversal, but on opposite sides of the transversal
The angles opposite of each other when two lines cross
A pair of angles on the inner side of two lines cut by a transversal, but on opposite sides of the transversal
Two angles in the same position when parallel lines are cut by a transversal
The angles inside the triangle that are not adjacent to the exterior angle
Two angles whose sum measures 90 degrees
Two angles whose sum measures 180 degrees.
What types of angles are Angle X and Angle Y
Alternate Interior Angles
Corresponding Angles
Alternate Exterior Angles
Which of the following is NOT an example of supplementary angles?
∠7 and ∠8
∠2 and ∠3
∠1 and ∠7
∠6 and ∠4
