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Line and Angle Relationships

Authored by Jeff Simmons

Mathematics

9th - 12th Grade

CCSS covered

Used 4+ times

Line and Angle Relationships
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13 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 3 pts

Media Image

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

Media Image

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

Media Image

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.

LABELLING QUESTION

1 min • 9 pts

Complete the two-column proof.

i
h
g
f

Angle Addition Property (2nd time)

Angle Addition Property

Reflexive Property

Substitution Property

m∠ABC=m∠DEF

Transitive Property

Addition Property of Equality

Given

Def. of Congruence

Angle Addition Property (1st time)

Answer explanation

Media Image

Tags

CCSS.HSG.SRT.B.5

7.

DRAW QUESTION

3 mins • 10 pts

Perpendicular/Parallel Line Theorem:

draw a sketch to illustrate the theorem.

Media Image

Answer explanation

Media Image

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