Line and Angle Relationships
Authored by Jeff Simmons
Mathematics
9th - 12th Grade
CCSS covered
Used 4+ times
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13 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 3 pts
In the figure, two angles are marked congruent.
Which theorem justifies the conclusion that m ‖ n?
Alternate Exterior Angles Theorem
Alternate Exterior Angles Converse Theorem
Corresponding Angles Converse Theorem
Vertical Angle Theorem
Tags
TEKS G.6A
2.
MULTIPLE CHOICE QUESTION
30 sec • 3 pts
Consider the proof of the Same-Side Interior Angles Theorem.
Given: ℓ ‖ m
Prove: ∠2 and ∠5 are supplementary
Which missing reasons correctly complete the proof?
(2) Corresponding Angles Theorem (7) Substitution Property of Equality
(2) Same-Side Interior Angles Theorem
(7) Substitution Property of Equality
(2) Corresponding Angles Theorem (7) Definition of supplementary angles
(2) Same-Side Interior Angles Theorem (7) Definition of supplementary angles
Tags
CCSS.8.G.A.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 3 pts
Which of the following statements is false?
Vertical angles are always congruent.
When a pair of lines is cut by a transversal, the corresponding angles are always congruent.
Inscribed angles that intercept the same arc are always congruent
All right angles are congruent.
4.
MULTIPLE CHOICE QUESTION
30 sec • 3 pts
Consider the proof of the Alternate Interior Angles Theorem.
Given: ℓ ‖ m
Prove: ∠2 and ∠8 are congruent.
Which missing reasons correctly complete the proof?
(2) Corresponding Angles Theorem (3) Transitive Property of Congruence
(2) Same-Side Interior Angles Theorem (3) Vertical Angle Theorem
(2) Corresponding Angles Theorem (3) Vertical Angle Theorem
(2) Same-Side Interior Angles Theorem (3) Transitive Property of Congruence
Tags
CCSS.8.G.A.5
5.
OPEN ENDED QUESTION
3 mins • 10 pts
Describe the difference between a postulate and a theorem.
Evaluate responses using AI:
OFF
Answer explanation
A postulate is assumed to be true without proving it.
A theorem is true and can be proven.
Tags
CCSS.8.G.A.5
6.
LABELING QUESTION
1 min • 9 pts
Complete the two-column proof.
m∠ABC=m∠DEF
Angle Addition Property (1st time)
Addition Property of Equality
Def. of Congruence
Given
Substitution Property
Angle Addition Property (2nd time)
Transitive Property
Reflexive Property
Angle Addition Property
Answer explanation
Tags
CCSS.HSG.SRT.B.5
7.
DRAW QUESTION
3 mins • 10 pts
Perpendicular/Parallel Line Theorem:
draw a sketch to illustrate the theorem.
Answer explanation
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