WorksheetsParallel Lines Practice
Total questions: 14
Worksheet time: 24mins
Name
Class
Date
1.
In the following diagram line r is parallel to line s. Which of the following statements must be true?
a)
m∠3=m∠5
b)
m∠5=m∠4
c)
m∠2 + m∠3 = 180˚
d)
m∠2=m∠4
2.
Given: line t II line s and neither is perpendicular to line g. Which of the following is false?
a)
m∠2 + m∠5 = 180°
b)
m∠1 = m∠7
c)
m∠3 + m∠5 = 180°
d)
m∠2 = m∠3
3.
In the diagram YT is parallel to MV and m∠YRH = 100°. Which of the following conclusions does not have to be true?
a)
m∠MHF = 100°
b)
m∠RHM = 80°
c)
∠SRT and ∠MHF are alternate exterior angles
d)
∠SRY and ∠RHV are alternate interior angles
4.
Based on the diagram, which theorem or postulate would support the statement m∠RIP = m∠SMY?
a)
Alternate Exterior Angles Theorem
b)
Alternate Interior Angles Theorem
c)
Consecutive Interior Angles Theorem
d)
Corresponding ∠s Postulate
5.
In the diagram below ∠2≅∠3. Which of the following must be true?
a)
r ⊥ t
b)
m∠8 = m∠6
c)
m∠4 = m∠6
d)
m∠5 = m∠6
6.
Which type of angles are a counterexample to the conjecture below?
"If two lines are parallel, then each pair of angles are supplementary."
"If two lines are parallel, then each pair of angles are supplementary."
a)
∠1, ∠2
b)
∠3, ∠1
c)
∠4, ∠2
d)
∠1, ∠4
7.
In the diagram to the right, TJ⊥AG and TJ⊥HI then which angles are congruent?
a)
∠ARF, ∠NRA
b)
∠FRT, ∠RNH
c)
∠LNR, ∠ARN
d)
∠FRG, ∠KNJ
8.
In the diagram below, m∠6 + m∠7 = 180°. Which of the following does not have to be true?
a)
m∠1 + m∠4 = 180°
b)
m∠5 + m∠4 = 180°
c)
r ∥ s
d)
m∠2 = m∠7
9.
Allison wanted to solve for x, so she set up the equation (5x − 2)° + (3x + 12)° = 180°. What would her reasoning be?
"If two parallel lines are intersected by a transversal, then ...
"If two parallel lines are intersected by a transversal, then ...
a)
linear pairs are supplementary."
b)
corresponding angles are supplementary."
c)
alternate interior angles are congruent."
d)
consecutive (same-side) interior angles are supplementary."
10.
In the diagram below, which pair of angles are alternate interior angles?
a)
∠TRM and ∠TGM
b)
∠HTL and ∠YGL
c)
∠JMG and ∠SGL
d)
∠KRT and ∠HTG
11.
Use the diagram to determine which pair of angles is alternate exterior angles.
a)
∠1 and ∠15
b)
∠9 and ∠15
c)
∠4 and ∠11
d)
∠2 and ∠8
12.
To solve for x in the diagram below, Betty used the equation 9x + 5 = 10x − 5. Betty can justify her equation by the following statement:
"If two parallel lines are intersected by a transversal, then ...
"If two parallel lines are intersected by a transversal, then ...
a)
alternate interior angles are congruent
b)
alternate exterior angles are congruent
c)
corresponding angles are congruent
d)
consecutive interior angles are supplementary
13.
Use the diagram to determine which pair of angles is corresponding angles.
a)
∠2 and ∠13
b)
∠8 and ∠11
c)
∠4 and ∠10
d)
∠10 and ∠12
14.
Use the diagram to determine which pair of angles in consecutive interior angles.
a)
∠3 and ∠11
b)
∠13 and ∠16
c)
∠9 and ∠13
d)
∠10 and ∠13
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