Triangle Congruence Proofs and Isosceles Triangle Examples

The video tutorial covers two main proofs of triangle congruence using given information. The first proof demonstrates congruence using the angle-side-angle method, while the second proof uses the side-side-side method with the reflexive property. Additionally, the video includes a calculation of angles in an isosceles triangle. The teacher provides instructions for students to complete an exit ticket and informs them about upcoming class activities.

Which angles are given as congruent in the first proof?

• Angle E and Angle Y

• Angle D and Angle Y

• Angle D and Angle X

• Angle F and Angle Z

What is the given congruence relationship between the sides in the first proof?

• DF is congruent to XY

• DE is congruent to XZ

• DF is congruent to XZ

• DE is congruent to XY

Which congruence criterion is used to prove the triangles congruent in the first proof?

• Side-Angle-Side

• Angle-Side-Angle

• Angle-Angle-Side

• Side-Side-Side

What is the reflexive property used for in the second proof?

• To show that DC is congruent to BA

• To show that CB is congruent to AD

• To show that BD is congruent to itself

• To show that BD is congruent to AD

Which congruence criterion is used to prove the triangles congruent in the second proof?

• Angle-Angle-Side

• Side-Angle-Side

• Angle-Side-Angle

• Side-Side-Side

In an isosceles triangle, what can be said about the base angles?

• They are different

• They are congruent

• They are complementary

• They are supplementary

If 10x + 3 equals 12x - 7, what is the value of x?

• 5

• 6

• 4

• 3

What is the measure of each base angle if x is found to be 5?

• 55 degrees

• 53 degrees

• 50 degrees

• 60 degrees

What should students do with the exit ticket?

• Ignore it

• Submit it online

• Keep it for the next class

• Turn it in to the sub or Miss Klein

What will students have to do in the next class?

• Watch another video

• Work on a worksheet

• Do a group project

• Take a test