Enlargement Transformations and Scale Factors

The video tutorial covers various geometric transformations, focusing on enlarging triangles by negative scale factors and identifying centers of enlargement. It also explains how to describe transformations, including reflections and rotations, by finding centers and angles. The tutorial provides step-by-step instructions for each transformation, ensuring learners understand the process and can verify their results.

What is the center of enlargement for the transformation of triangle A by a scale factor of -2?

• (0, 0)

• (2, 2)

• (4, -3)

• (1, 1)

How do you calculate the new position of a point after enlarging by a scale factor of -2?

• Multiply the coordinates by 2

• Multiply the coordinates by -2

• Add 2 to each coordinate

• Subtract 2 from each coordinate

What is the purpose of joining the points after enlargement?

• To verify the enlargement

• To find the center of enlargement

• To determine the original shape

• To calculate the scale factor

What is the center of enlargement for the transformation of triangle A by a scale factor of -3?

• (4, -3)

• (2, 2)

• (0, 0)

• (1, 1)

How do you verify the enlargement by a scale factor of -3?

• Ensure the lines pass through the center of enlargement

• Check if the points are equidistant from the center

• Calculate the area of the new shape

• Compare the angles of the original and new shapes

What is the scale factor for the enlargement with the center at the origin?

• -3

• -1.5

• -0.5

• -2

How do you determine the new position of a point when enlarging by a scale factor of -1.5?

• Multiply the coordinates by 1.5

• Multiply the coordinates by -1.5

• Subtract 1.5 from each coordinate

• Add 1.5 to each coordinate

What is the scale factor for the enlargement with the center at the origin?

• -1.5

• -0.5

• -2

• -3

How do you verify the enlargement by a scale factor of -0.5?

• Check if the points are equidistant from the center

• Ensure the lines pass through the center of enlargement

• Calculate the area of the new shape

• Compare the angles of the original and new shapes

What type of transformation is described from triangle A to triangle B?

• Reflection

• Rotation

• Translation

• Enlargement