Similar Polygons and Linear Functions

The video covers scaling and projections in geometry, focusing on rectangles and polygons. It explains how to determine if shapes are scaled copies, using scale factors and transformations. The video also introduces the concept of slope and how to write equations for lines, providing examples and exercises to reinforce learning.

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

• 10 cm by 2 cm

• 18 cm by 4.5 cm

• 6 cm by 1.5 cm

• 13 cm by 4 cm

If a rectangle with dimensions 12 cm by 8 cm is a scaled copy of another rectangle with dimensions 15 cm by 10 cm, what is the scale factor?

• 3/2

• 4/5

• 5/4

• 2/3

What happens to the dimensions of a shape when it undergoes a dilation with a scale factor of 2?

• The dimensions are halved.

• The dimensions remain the same.

• The dimensions are doubled.

• The dimensions are tripled.

Which of the following statements is true about similar polygons?

• They have the same side lengths.

• They have the same angle measures.

• They have different angle measures.

• They have different side lengths and angles.

If two triangles are similar and one has a side length of 3 cm while the corresponding side of the other is 9 cm, what is the scale factor?

• 1/3

• 2

• 3

• 1/2

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

• The segment remains unchanged.

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

• The segment is reflected over point B.

• The segment is rotated 180 degrees.

Which of the following pairs of triangles are similar based on their angle measures?

• Triangle E: 63°, 45°, 72° and Triangle F: 14°, 71°, 95°

• Triangle C: 90°, 37°, 53° and Triangle D: 90°, 53°, 37°

• Triangle A: 53°, 71°, 56° and Triangle B: 53°, 71°, 56°

• Triangle G: 121°, 59°, 0° and Triangle H: 70°, 110°, 0°

How do you calculate the slope of a line?

• By adding the changes in x and y.

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

• By subtracting the change in x from the change in y.

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

If a line has a slope of 2/3, what does this mean in terms of rise and run?

• The line rises 2 units for every 3 units it runs.

• The line rises 3 units for every 2 units it runs.

• The line rises 3 units for every 1 unit it runs.

• The line rises 1 unit for every 3 units it runs.

Which equation represents a line with a slope of 2 and a y-intercept of -3?

• y = 2x + 3

• y = -2x - 3

• y = 2x - 3

• y = -2x + 3