Distinguishing Congruent and Similar Figures

The video tutorial explores the concepts of congruent and similar figures, focusing on their definitions and properties. Congruent figures have identical corresponding sides and angles, while similar figures have proportional sides and congruent angles. The tutorial also covers various transformations, such as translation, rotation, reflection, and dilation, explaining how they affect the congruency and similarity of geometric figures. Examples of transformation compositions are provided to illustrate these concepts in practice.

What does it mean for two triangles to be congruent?

• Their corresponding sides are proportional.

• They have the same shape but different sizes.

• All corresponding sides and angles are of the same measure.

• Only their corresponding angles are equal.

How can you tell that segment AB is congruent to segment A'B'?

• They have different angles.

• They have different tick marks.

• They have the same tick marks.

• They have different lengths.

What is true about the angles of similar figures?

• They are proportional.

• They are congruent.

• They are larger.

• They are different.

Which transformation does not change the size of a figure?

• Dilation

• Shearing

• Scaling

• Translation

What happens to triangle ABC when it is rotated 90 degrees clockwise?

• It changes size.

• It remains congruent.

• It changes shape.

• It becomes similar.

What is the result of reflecting a triangle over the y-axis?

• The triangle remains congruent.

• The triangle changes shape.

• The triangle becomes similar.

• The triangle changes size.

What is the first transformation applied to triangle ABC in the example?

• Dilation

• Reflection

• Rotation

• Translation

How many units is triangle ABC translated to the left in the example?

• 5 units

• 7 units

• 9 units

• 11 units

What is the final transformation applied to square ABCD?

• Reflection

• Dilation

• Translation

• Rotation

What is the scale factor used in the dilation of square ABCD?

• 3/4

• 1/2

• 1/4

• 2