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Proofs Involving Angles and Lines

Proofs Involving Angles and Lines

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Medium

CCSS
8.G.A.5, HSG.CO.C.9, HSG.SRT.B.5

+1

Standards-aligned

Created by

Aiden Montgomery

Used 1+ times

FREE Resource

Standards-aligned

CCSS.8.G.A.5
,
CCSS.HSG.CO.C.9
,
CCSS.HSG.SRT.B.5
CCSS.7.G.B.5
,
The video tutorial explains a proof involving two pairs of intersecting parallel lines. It demonstrates how to prove that angle 2 is congruent to angle 15 using vertical angles, corresponding angles, and the transitive property. The proof is broken down into steps, starting with the given information and using logical reasoning to establish the congruence of the angles. The tutorial aims to help viewers understand the process of proving angle congruence in geometry.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of the proof involving intersecting parallel lines?

To determine if lines l and m are perpendicular

To prove that angle 2 is congruent to angle 15

To find the measure of angle 5

To calculate the sum of all 16 angles

Tags

CCSS.8.G.A.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are angle 2 and angle 5 considered congruent?

They are supplementary angles

They are vertical angles

They are alternate interior angles

They are corresponding angles

Tags

CCSS.8.G.A.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angles are congruent due to the corresponding angles postulate in the first instance?

Angle 2 and angle 15

Angle 5 and angle 7

Angle 7 and angle 15

Angle 2 and angle 5

Tags

CCSS.8.G.A.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between angle 7 and angle 15?

They are vertical angles

They are corresponding angles

They are alternate interior angles

They are supplementary angles

Tags

CCSS.8.G.A.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property is used to conclude that angle 2 is congruent to angle 15?

Vertical angles property

Corresponding angles postulate

Transitive property

Alternate interior angles theorem

Tags

CCSS.8.G.A.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in writing out the proof?

State that angle 2 is congruent to angle 5

State the given information about parallel lines

Identify corresponding angles

Use the transitive property

Tags

CCSS.8.G.A.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How are angle 5 and angle 7 related?

They are corresponding angles

They are vertical angles

They are supplementary angles

They are alternate interior angles

Tags

CCSS.HSG.SRT.B.5

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