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WorksheetsParallel Lines and Transversals with Equations
Total questions: 20
Worksheet time: 40mins
These angles are a pair of angles on the inner sides of two parallel lines cut by a transversal, that are on opposite sides of the transversal. Their measures are congruent.
Alternate Interior Angles
Alternate Exterior Angles
Vertical Angles
Corresponding Angles
These angles are formed when two parallel lines are cut by a transversal and are located in the same position at each intersection.
Alternate Exterior Angles
Alternate Interior Angles
Vertical Angles
Corresponding Angles
These angles are a pair of angles, on the outer sides of two parallel lines cut by a transversal, that are on opposite sides of the transversal. Their measures are congruent.
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Vertical Angles
__________ are a pair of opposite congruent angles formed by intersecting lines.
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Vertical Angles
This pair of angles add up to 180°.
Complementary
Supplementary
Congruent
Vertical
What do pairs of vertical angles, alternate interior angles, alternate exterior angles, and corresponding angles all have in common? Choose ALL correct answers.
The two angles in each pair are congruent to each other
They are created when parallel lines are cut by a transversal
The two angles in each pair add up to 180°
The two angles in each pair are always acute
What is the relationship between angles 1 and 3?
They are alternate interior angles
They are corresponding angles
They are vertical angles
They are alternate exterior angles
What do you know about the measurement of angles 5 and 8?
The angle measures are the same
The sum of the angle measures is 90°
The sum of the angle measures is 180°
There is not enough information
What is the relationship between angles 2 and 8?
They are alternate interior angles
They are alternate exterior angles
They are corresponding angles
They are vertical angles
What is the relationship between angles 4 and 6?
They are alternate interior angles
They are alternate exterior angles
They are vertical angles
They are corresponding angles
Which pair of angles are corresponding angles?
1 & 3
1 & 5
1 & 8
1 & 2
Which pair(s) of angles are supplementary? Choose ALL answers that apply.
1 & 3
1 & 2
6 & 7
7 & 8
Which pair of angles is NOT congruent?
3 & 5
5 & 6
6 & 8
1 & 7
Lines a and b are parallel, and are cut by transversal h. True or false: z + 30 = 65
True
False
Lines a and b are parallel, and are cut by transversal h. True or false: z + 30 = 115
True
False
Find the value of w.
115
105
180
75
Parallel lines l1 and l2 are cut by transversal t. Which of the following statements are true?
Statement I: Vertical angles are congruent, so 5a = 115.
Statement II: Alternate interior angles are congruent, so b - 12 = 65.
Statement III: Corresponding angles are congruent and linear angle pairs have a sum of 180°, so 5a + 65 = 180.
Statement IV: Alternate interior angles have a sum of 180°, so (b - 12) + 65 = 180.
Statements I and II only
Statements II and III only
Statements I, II, and III only
Statements I, II, III, and IV
Find the value of a and b.
a = 77; b = 23
a = 23; b = 77
a = 65; b = 13
a = 13; b = 65
Lines a and b are cut by transversal t. Which of the following could NOT be used to determine the value of x?
Alternate exterior angles are congruent, therefore 4x = 104.
Corresponding angles are congruent, therefore 2x + 42 = 76
Vertical angles are congruent, therefore 4x = 2x + 42
Angles that lie on the same line are supplementary, therefore x + 50 + 104 = 180.
Third Street and Fourth Street are parallel, and Broadway Avenue cuts across both. If the measure of the angle where the library is located equals 42°, and the angle where the school is located measures x°, which equation is true?
x = 42, because vertical angles are congruent
x = 42, because alternate interior angles are congruent
x = 42, because alternate exterior angles are congruent
x = 42, because corresponding angles are congruent
