Triangle Congruence and Properties

The video tutorial covers triangle proofs using addition and subtraction theorems. It begins with an introduction to these theorems and their applications in proving segment and angle congruence. Two detailed examples are provided: the first uses the side-side-side theorem, and the second employs the side-angle-side theorem. The video concludes with instructions for students to attempt a problem on their own and bring questions to the next class.

What theorem is used when proving a larger segment with congruent pieces?

• Segment Addition Theorem

• Angle Subtraction Theorem

• Reflexive Property

• Segment Subtraction Theorem

Tags

CCSS.HSG.SRT.B.5

In the first problem, which property is used to show that segment DE is congruent to itself?

• Symmetric Property

• Addition Property

• Reflexive Property

• Transitive Property

Tags

CCSS.HSG.SRT.B.5

Which theorem is applied to prove that segment AD is congruent to segment EB?

• Angle Subtraction Theorem

• Segment Addition Theorem

• Segment Subtraction Theorem

• Angle Addition Theorem

Tags

CCSS.HSG.SRT.B.5

What is the final conclusion of the first problem regarding triangle congruence?

• Triangle ACD is congruent to triangle BCE by AAS

• Triangle ACD is congruent to triangle BCE by ASA

• Triangle ACD is congruent to triangle BCE by SSS

• Triangle ACD is congruent to triangle BCE by SAS

Tags

CCSS.8.G.A.2

In the second problem, which angle is shared by both triangles?

• Angle ACD

• Angle DCE

• Angle ACE

• Angle BCD

Tags

CCSS.8.G.A.5

Which theorem is used to prove the congruence of angles in the second problem?

• Segment Subtraction Theorem

• Angle Addition Theorem

• Segment Addition Theorem

• Angle Subtraction Theorem

Tags

CCSS.HSG.SRT.B.5

What is the final conclusion of the second problem regarding triangle congruence?

• Triangle ACD is congruent to triangle BCE by SSS

• Triangle ACD is congruent to triangle BCE by ASA

• Triangle ACD is congruent to triangle BCE by SAS

• Triangle ACD is congruent to triangle BCE by AAS

Tags

CCSS.HSG.SRT.B.5

What is the purpose of the reflexive property in triangle proofs?

• To prove segments are equal to themselves

• To prove segments are different

• To prove triangles are congruent

• To prove angles are equal

Tags

CCSS.4.MD.A.2

What should students do with the third problem?

• Attempt it on their own

• Discuss it with peers

• Solve it in class

• Ignore it

Tags

CCSS.RI.9-10.5

CCSS.RI.7.3

CCSS.RI.8.5

CCSS.RI.8.3

CCSS.RI.7.5

What should students bring to class after watching the video?

• Completed assignments

• Questions they might have

• Their textbooks

• A calculator

Tags

CCSS.RI.9-10.5

CCSS.RI.8.5

CCSS.RI.9-10.3

CCSS.RI.7.5

CCSS.RI.8.3