Geometry Transformations and Similarity

This video tutorial covers scaling and projections in geometry, focusing on rectangles, polygons, and triangles. It explains how to determine scale factors, perform dilations, and understand similarity. The tutorial also introduces slope and writing equations for lines, providing examples and exercises to reinforce these concepts.

Which of the following pairs of dimensions could be a scaled copy of a rectangle measuring 12 cm by 3 cm?

• 6 cm by 1.5 cm

• 10 cm by 2 cm

• 13 cm by 4 cm

• 18 cm by 4.5 cm

If a segment measuring 3 cm is dilated with a scale factor of 5, what will be the new length?

• 8 cm

• 15 cm

• 11.1 cm

• 6 cm

What is the scale factor if triangle ABC is a dilation of triangle DEF, where side AB measures 12 cm and side DE measures 8 cm?

• 3/4

• 4/3

• 2/3

• 3/2

Which transformation sequence can show that two polygons are similar?

• Rotation and dilation

• Translation and rotation

• Translation and reflection

• Reflection and scaling

If two polygons have the same angle measures but different side lengths, what can be said about them?

• They are identical

• They are neither similar nor congruent

• They are similar

• They are congruent

What is the result of rotating segment AB 90 degrees clockwise around point B?

• The segment is reflected over point B.

• The segment is rotated 180 degrees.

• A new point is created at the end of the segment.

• The segment remains unchanged.

If two triangles have the same angle measures, what can be said about them?

• They are congruent.

• They are similar.

• They have the same side lengths.

• They are equilateral.

How do you calculate the slope of a line?

• By dividing the change in y by the change in x.

• By adding the change in y to the change in x.

• By multiplying the change in y by the change in x.

• By dividing the change in x by the change in y.

What is the slope of a line that rises 2 units and runs 3 units?

• 1/2

• 1/3

• 3/2

• 2/3

Which of the following points lies on the line with the equation y = 2x - 3?

• (0, -3)

• (3, 3)

• (1, -1)

• (2, 1)