Transformations in Geometry

The video tutorial explains the concept of transformations, including reflections, rotations, translations, and dilations. It demonstrates how to identify and apply these transformations to shapes, focusing on sequences of transformations to achieve congruence. The tutorial also covers dilation and rotation, showing how to scale and rotate shapes effectively.

What is a sequence of transformations?

• A transformation that only involves dilations

• A transformation that only involves rotations

• A combination of different transformations applied in sequence

• A single transformation applied multiple times

Which transformation involves flipping a shape over a line?

• Rotation

• Reflection

• Translation

• Dilation

What is the result of translating a shape?

• The shape becomes a mirror image

• The shape changes size

• The shape changes orientation

• The shape moves to a different location

Which transformation is described as a 'slide'?

• Rotation

• Translation

• Reflection

• Dilation

What is the primary characteristic of a reflection transformation?

• It slides the shape

• It rotates the shape

• It changes the size of the shape

• It creates a mirror image of the shape

How can you prove that two shapes are congruent?

• By rotating one shape

• By mapping one shape onto another without altering its size

• By reflecting one shape

• By changing the size of one shape

What does a dilation transformation do to a shape?

• It slides the shape

• It rotates the shape

• It changes the size of the shape

• It flips the shape

If a shape is dilated by a factor of 1/2, what happens to its size?

• It becomes a mirror image

• It doubles in size

• It remains the same

• It reduces to half its original size

What is the effect of a 90-degree rotation on a shape?

• The shape moves to a new location

• The shape turns around a point

• The shape changes size

• The shape flips over a line

How do you perform a 90-degree rotation on a point (x, y)?

• Change the sign of y, then swap x and y

• Swap x and y, then change the sign of x

• Swap x and y, then change the sign of y

• Change the sign of x, then swap x and y