Triangle Transformations and Properties

The video tutorial covers four practice problems from lesson two, focusing on geometric transformations. The first problem involves understanding dilation with a center and scale factor, while the second problem explores dilating triangles using different scale factors. The third problem demonstrates rigid transformations, including reflection and rotation. The final problem involves constructing triangles from angles on a line, emphasizing the sum of angles in a triangle. Throughout the video, the concepts of scale factors, similar figures, and angle congruence are highlighted.

What is the dilation factor if a point is moved from 2 units to 10 units?

• 4/5

• 2

• 5/4

• 1/2

If a triangle is dilated by a factor of 2, what happens to its side lengths?

• They triple

• They remain the same

• They halve

• They double

How does the scale factor of 1/2 affect the size of a triangle?

• It halves the size

• It doubles the size

• It keeps the size the same

• It triples the size

What is the relationship between the smallest and largest triangles after scaling?

• The largest is four times the smallest

• The largest is twice the smallest

• They are the same size

• The smallest is twice the largest

What remains unchanged in triangles after scaling?

• Angles

• Area

• Perimeter

• Side lengths

Which transformation involves flipping a figure over a line?

• Translation

• Rotation

• Reflection

• Dilation

What is the result of reflecting a point over a line?

• The point stays in the same place

• The point moves perpendicular to the line

• The point rotates around the line

• The point moves parallel to the line

How can you form a triangle from three angles that sum to 180 degrees?

• By using parallel lines

• By using a square

• By using a circle

• By using perpendicular lines

What is the sum of the angles in a triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

Which angle is formed by rotating 180 degrees around a point?

• Straight angle

• Acute angle

• Obtuse angle

• Right angle