Similar Triangles and Transformations

The video covers scaling and projections in geometry, focusing on rectangles and polygons. It explains how to determine if figures are scaled copies and introduces dilations and similarity. The video also explores slope and writing equations for lines, providing examples and problem-solving techniques.

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

What is the scale factor if a rectangle with dimensions 12 by 8 is a scaled copy of a rectangle with dimensions 15 by 10?

• 2/3

• 5/4

• 3/2

• 4/5

If a triangle is dilated with a scale factor of 2, what happens to the angle measures?

• They become zero

• They halve

• They remain the same

• They double

Which transformation sequence can show that two polygons are similar?

• Dilation and translation

• Translation and rotation

• Rotation and reflection

• Reflection and dilation

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

• 1/3

• 3

• 1/2

• 2

What transformation is used to complete the construction of a square from segment AC?

• Reflect segment AC over the x-axis

• Rotate segment AC 90 degrees clockwise using C as the center

• Rotate segment AC 90 degrees counterclockwise using C as the center

• Translate segment AC 5 units up

Why are two equilateral triangles always similar?

• They have the same side lengths

• They have equal angle measures

• They have different side lengths

• They have different angle measures

How do you determine if two triangles are similar based on their side lengths?

• By verifying they have the same area

• By ensuring their corresponding side lengths are proportional

• By checking if they have the same perimeter

• By confirming they have the same base

What is the slope of a line if the rise is 2 units and the run is 3 units?

• 2/3

• 1/3

• 3/2

• 1/2

What is the equation of 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