How to Determine if an Angle is Included or Not - Congruent Triangles

How to Determine if an Angle is Included or Not - Congruent Triangles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of included angles, which are angles between two sides of a triangle. It discusses the side angle side (SAS) congruence criterion and provides examples to illustrate included angles. The tutorial also highlights the importance of ensuring angles are included between the sides when determining congruence, and explains why some triangles may not be congruent if the angles are not properly included.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an included angle in a triangle?

An angle that is outside the triangle

An angle between two sides of a triangle

An angle that is equal to 90 degrees

An angle that is not part of the triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are included angles important for the SAS congruence criterion?

They must be between the two sides being compared

They are the largest angles in the triangle

They are always equal in congruent triangles

They determine the length of the sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is true about included angles?

They must be between the two sides for SAS

They are not necessary for triangle congruence

They can be skipped when proving SAS congruence

They are always the smallest angles in a triangle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mistake should be avoided when using the SAS criterion?

Using sides that are not equal

Using angles that are equal

Using only one side and one angle

Using angles that are not between the sides

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens if you skip an angle when applying the SAS criterion?

The triangle becomes isosceles

The triangle becomes equilateral

The angle becomes an exterior angle

The congruence cannot be proven