Understanding Angles and Proofs

Understanding Angles and Proofs

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial introduces indirect proofs, highlighting contradictions in various contexts, including mathematics. It explains the concept of proof by contradiction, using a geometric example to demonstrate the process. The tutorial guides viewers through the steps of assuming the opposite of a conclusion, finding contradictions, and concluding the proof. The video concludes with a reflection on the process and a call to action for environmental awareness.

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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main theme discussed in the introduction of the video?

The importance of mathematics

The history of indirect proofs

The role of music in society

Contradictions in the world and among mathematicians

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an indirect proof?

A proof that is based on historical data

A proof that relies on assumptions

A proof that shows the opposite cannot be true

A proof that uses direct evidence

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example setup, what are segments AB and CD described as?

Intersecting

Perpendicular

Parallel

Collinear

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What assumption is made about angle ABC in the proof?

It is an acute angle

It is a straight angle

It is a right angle

It is an obtuse angle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of a straight angle?

90 degrees

360 degrees

180 degrees

45 degrees

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of a right angle?

360 degrees

90 degrees

180 degrees

45 degrees

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What contradiction is found in the proof?

Segments AB and CD are both intersecting and non-intersecting

Angle ABC is both 90 and 180 degrees

Segments AB and CD are both parallel and perpendicular

Angle ABC is both acute and obtuse

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