Hinge Theorem and Triangle Comparisons

In this video, Teacher Smith introduces the hinge theorem, which states that if two sides of two triangles are congruent and the included angles are different, the larger angle is opposite the longer side. The video demonstrates how to apply this theorem to compare sides of triangles through various examples. Viewers are encouraged to practice using the theorem and engage with the content by answering questions in the comments. The video concludes with a call to follow the teacher on social media for more educational content.

What is the main topic discussed in the video?

• Congruence Theorem

• Pythagorean Theorem

• Hinge Theorem

• Triangle Inequality Theorem

According to the hinge theorem, what is true if two sides of two triangles are congruent and the included angles are different?

• The triangles are similar.

• The larger angle is opposite the longer side.

• The triangles are congruent.

• The smaller angle is opposite the longer side.

In the example comparing sides AC and DF, which side is longer?

• DF

• Cannot be determined

• Both are equal

• AC

What is the measurement of side AB in the triangle discussed in the video?

• 15 units

• 11 units

• 20 units

• 25 units

Which angle is larger in the comparison between angle B and angle E?

• Angle B

• Both are equal

• Angle E

• Cannot be determined

In Example 1, which side is longer, MN or LK?

• Cannot be determined

• Both are equal

• LK

• MN

What is the angle opposite to side MN in Example 1?

• Angle J

• Angle P

• Angle G

• Angle B

In Example 2, which side is longer, AD or CD?

• Cannot be determined

• AD

• CD

• Both are equal

What is the angle opposite to side AD in Example 2?

• 32 degrees

• 36 degrees

• 40 degrees

• 30 degrees

In Example 3, which side is longer, TR or UR?

• Cannot be determined

• Both are equal

• UR

• TR