Question

a geometric transformation that resizes a figure proportionally is called
the fixed point in a dilation is called the
of dilation.
the number that determines how much a figure is
resized in a dilation is the
a dilation where the scale factor is greater than 1 is
called an
a dilation where the scale factor is between 0 and 1 is
called a
the original figure before a transformation is called the
the resulting figure after a transformation is called the
the plane used to perform dilations by multiplying
coordinates is the
the formula used to calculate the distance between two
points,
( d = sqrt { ( x _ { 2 } - x _ { 1 } ) ^ { 2 } + ( y _ { 2 } - y _ { 1 } ) ^ { 2 } } )
, is called the
figures that have the same shape but
sizes are called similar
figures.
the proportional relationship between corresponding
sides of a preimage and its image ensures

Explanation:

• Dilation: A geometric transformation that resizes a figure proportionally.
• Center: The fixed point in a dilation.
• Scale factor: The number that determines how much a figure is resized in a dilation.
• Enlargement: A dilation where the scale factor is greater than 1.
• Reduction: A dilation where the scale factor is between 0 and 1.
• Pre - image: The original figure before a transformation.
• Image: The resulting figure after a transformation.
• Coordinate plane: The plane used to perform dilations by multiplying coordinates.
• Distance formula: The formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\) used to calculate the distance between two points.
• Different: Figures that have the same shape but different sizes are called similar figures.
• Similarity: The proportional relationship between corresponding sides of a pre - image and its image ensures similarity.

Answer:

1. Dilation
2. Center
3. Scale factor
4. Enlargement
5. Reduction
6. Pre - image
7. Image
8. Coordinate plane
9. Distance formula
10. Different
11. Similarity