Identifying Similar and Congruent Transformations

This video tutorial covers lesson seven of chapter five, focusing on similarity and congruence transformations. It explains the types of transformations, including rotations, reflections, translations, and dilations. The video provides examples of each transformation type, demonstrating how to identify them and determine if figures are similar or congruent. Key concepts such as scale factor in dilations and congruence in translations, reflections, and rotations are discussed.

Which of the following is NOT a type of transformation discussed in the introduction?

• Rotation

• Reflection

• Translation

• Shearing

What is the result of a dilation transformation?

• The figure is translated.

• The figure is rotated.

• The figure is resized.

• The figure is reflected.

If a figure undergoes a dilation with a scale factor of 2, what happens to its size?

• It remains the same.

• It triples.

• It halves.

• It doubles.

Which transformation involves moving a figure without changing its shape or size?

• Translation

• Dilation

• Reflection

• Rotation

In a translation, if a point moves 3 units to the right and 4 units up, what is the new position of the point (2, 3)?

• (5, 7)

• (1, -1)

• (5, -1)

• (1, 7)

What happens to the coordinates of a point when it is reflected across the x-axis?

• The y-coordinate changes sign.

• The x-coordinate changes sign.

• Neither coordinate changes.

• Both coordinates change sign.

Which transformation involves flipping a figure over a line?

• Dilation

• Reflection

• Rotation

• Translation

What is the result of a 180-degree rotation around the origin?

• The figure is flipped horizontally.

• The figure remains unchanged.

• The figure is rotated to the opposite quadrant.

• The figure is flipped vertically.

If a point (3, 2) is rotated 180 degrees around the origin, what are the new coordinates?

• (-3, 2)

• (-3, -2)

• (2, 3)

• (3, -2)

Which transformation does NOT change the size of the figure?

• Reflection

• Rotation

• Translation

• Dilation