Understanding Enlargement and Scale Factor

What is the definition of enlargement in geometry?

• Enlargement refers to the rotation of a geometric shape around a point.

• Enlargement is a transformation that reduces the size of a geometric shape.

• Enlargement is a process that distorts the shape of a geometric figure.

• Enlargement is a transformation that increases the size of a geometric shape while preserving its proportions.

How do you calculate the scale factor of an enlargement?

• Scale Factor = Length of Enlarged Shape / Length of Original Shape

• Scale Factor = Perimeter of Enlarged Shape / Perimeter of Original Shape

• Scale Factor = Area of Enlarged Shape / Area of Original Shape

• Scale Factor = Length of Original Shape / Length of Enlarged Shape

If a shape is enlarged by a scale factor of 3, what happens to its area?

• The area becomes 6 times larger.

• The area becomes 3 times larger.

• The area remains the same.

• The area becomes 9 times larger.

What is the relationship between the scale factor and the dimensions of a shape?

• The scale factor directly multiplies the dimensions of a shape.

• The scale factor has no effect on the dimensions of a shape.

• The scale factor divides the dimensions of a shape.

• The scale factor adds to the dimensions of a shape.

If a triangle has sides of length 2, 3, and 4, what are the lengths of the sides after a scale factor of 2 is applied?

• 3, 5, 7

• 2, 4, 6

• 1, 2, 3

• 4, 6, 8

How does a scale factor less than 1 affect a shape?

• A scale factor less than 1 has no effect on the shape.

• A scale factor less than 1 enlarges the shape.

• A scale factor less than 1 shrinks the shape.

• A scale factor less than 1 flips the shape upside down.

What is the formula for finding the new coordinates of a point after enlargement?

• (kx + 1, ky + 1)

• (kx, ky)

• (x/k, y/k)

• (kx^2, ky^2)

If a rectangle is enlarged by a scale factor of 5, what is the ratio of the new perimeter to the original perimeter?

• 1:5

• 2:1

• 5:1

• 10:1

Can a shape be reduced using a scale factor? If so, how?

• A scale factor must always be greater than 1 to reduce a shape.

• Shapes cannot be altered using scale factors.

• A shape can only be enlarged using a scale factor.

• Yes, a shape can be reduced using a scale factor by multiplying its dimensions by a factor less than 1.

What is the effect of a scale factor of 1 on a shape?

• The shape doubles in size.

• The shape is rotated 90 degrees.

• The shape becomes a different color.

• The shape remains unchanged.