Congruent Triangles Concepts

The video tutorial covers the concept of congruent figures, focusing on triangles. It explains that congruent figures have the same size and shape but not necessarily the same orientation. The tutorial also discusses corresponding parts, such as angles and sides, in congruent triangles and emphasizes the importance of labeling them in the same order. It provides examples of congruent triangles in different orientations and concludes with a practical example to reinforce the concept.

What does it mean for two figures to be congruent?

• They have the same size, shape, and orientation.

• They have the same orientation, but not necessarily the same size and shape.

• They have the same color and texture.

• They have the same size and shape, but not necessarily the same orientation.

Which of the following statements is true about congruent figures?

• They must always face the same direction.

• They can be of different sizes.

• They must have the same size and shape.

• They must be of different shapes.

How should congruent triangles be labeled?

• With corresponding points in the same order.

• By their color.

• In any random order.

• By their size.

Which of the following is a pair of corresponding angles in congruent triangles ABC and DEF?

• Angle C and Angle F

• Angle B and Angle D

• Angle A and Angle E

• Angle A and Angle F

What is important to remember when labeling corresponding sides of congruent triangles?

• The sides should be labeled by their color.

• The sides should be labeled in reverse order.

• The sides should be labeled with the same corresponding points.

• The sides should be labeled by their length.

If side AB is congruent to side DE, how should it be labeled?

• Side EF

• Side DE

• Side ED

• Side DF

What is a challenge when finding corresponding parts of congruent triangles in different orientations?

• Identifying the color of the triangles.

• Finding the corresponding angles and sides.

• Measuring the size of the triangles.

• Determining the texture of the triangles.

Which two figures are congruent if they are the same shape and size but in different orientations?

• Figures B and D

• Figures A and C

• Figures B and C

• Figures A and B

If the perimeter of triangle ABC is 12, what is the perimeter of triangle DEF?

• 14

• 12

• 10

• 16

If the length of side AB is 3, what is the length of side DE in congruent triangles ABC and DEF?

• 5

• 2

• 3

• 4