Exploring Corresponding Parts of Congruent Triangles

This video tutorial covers the concept of congruent triangles, focusing on identifying corresponding parts and solving problems using congruence. It explains the three types of geometric motion: translation, reflection, and rotation, and how these motions help determine congruence. The tutorial includes examples and exercises to practice identifying congruent angles and sides, and solving algebraic problems involving congruent triangles.

Which type of motion involves sliding a figure from one position to another without turning it?

• Scaling

• Reflection

• Rotation

• Translation

What type of motion is used when a figure is flipped over a line?

• Reflection

• Dilation

• Rotation

• Translation

In the example of congruent triangles ABC and DEF, which angle corresponds to angle B?

• Angle A

• Angle F

• Angle E

• Angle D

If angle A in triangle ABC is 80 degrees, what is the measure of angle D in triangle DEF?

• 100 degrees

• 60 degrees

• 120 degrees

• 80 degrees

Given that side AB in triangle ABC is 5 cm, what is the length of side DE in triangle DEF?

• 5 cm

• 10 cm

• 12 cm

• 7 cm

In the congruent triangles ROS and CAN, which angle corresponds to angle O?

• Angle C

• Angle N

• Angle A

• Angle R

If angle S in triangle SIT is congruent to angle R in triangle RUN, and angle S is 50 degrees, what is the measure of angle R?

• 40 degrees

• 60 degrees

• 30 degrees

• 50 degrees

In the problem involving triangles MAN and DEN, if side MA is 19 and side DE is 6x - 5, what is the value of x?

• 2

• 4

• 3

• 5

For triangles CAT and DOG, if side CA is 2c + 3 and side DO is 5c - 12, what is the value of c?

• 3

• 4

• 5

• 6

In the final example, if side CT is 2b + 11 and side DG is 5b - 1, what is the value of b?

• 5

• 4

• 3

• 2