What effect does a scale factor equal to 1 have on the dimensions of the image being scaled? If the scaled copy is the same size as the original, then the scale factor will equal 1—this will produce
congruent figures
.
What happens when the scale factor is equal to 1?
If the scale factor is one, it means that
corresponding sides are equal in length
. In this case the shapes would be congruent (ie identical) rather than similar. They have the same shape, the same angles and the same size.
What effect does a scale factor less than 1 have on the dimensions of the image being scaled?
The size of the scale factor affects the size of the copy. A scale factor greater than 1 makes a copy that is larger than the original. A scale factor less than 1
makes a copy that is smaller
.
What happens to the image if the scale factor is between 0 and 1?
When a shape is enlarged by a scale factor between 0 and 1,
the image is smaller than the original shape
. The triangle ABC is enlarged by a scale factor of .
What will happen to the original shape of the scale factor is greater than 1?
If the scale factor is greater than 1,
the image is an enlargement (a stretch)
. If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.
What is the scale of 1?
Working out the scale
A scale is shown as a ratio, for example 1:100.
A drawing at a scale of 1:100 means that the object is 100 times smaller than in real life scale 1:1
. You could also say, 1 unit in the drawing is equal to 100 units in real life.
What is a scale factor less than 1 called?
When the absolute value of the scale factor is less than one,
a compression
occurs. When the absolute value of the scale factor is equal to one, neither an expansion nor a compression occurs.
What will happen to the original shape if the scale factor is a less than 1 b greater than 1 C equal to 1?
The size of the scale factor affects the size of the copy. When a figure is scaled by a scale factor greater than 1, the copy is larger than the original. When the scale factor is less than 1,
the copy is smaller
. When the scale factor is exactly 1, the copy is the same size as the original.
How does scale factor affect area?
If the scale factor is three, then the perimeter of the new object will be three times the original perimeter.
The area of a scaled object will be equal to the scale factor squared
. Again, if the scale factor is three, the area of the new object will be nine times, or three squared, the area of the original object.
How do you find the scale factor of a dimension?
The basic formula that is used for calculating the scale factor is,
Scale factor = Dimension of the new shape ÷ Dimension of the original shape
. In case, if the original figure is scaled up, the formula is written as, Scale factor = Larger figure dimensions ÷ Smaller figure dimensions.
What type of dilation occurs with a scale factor of 1?
If the scale factor is between 0 and 1 the image is
a reduction
. If the scale factor is greater than 1, the image is an enlargement.
When the scale factor is greater than 1 the similar figure is called an enlargement?
An enlargement is when the scale factor is greater than 1, and the new image is larger than the original
. A reduction is when the scale factor is less than 1, and the new image is smaller than the original.
What does a scale factor greater than 1 indicate?
For a scale factor greater than 1,
the ratio of the area of triangle to be constructed to the area of the given triangle will always be
.
A
.
Equal to 1
.
What does it mean if your scale factor is greater than 1 UTM?
A scale factor less than 1 means that the actual distance on the Earth’s surface is longer than the actual distance on the map. Whereas, the scale factor of more than 1 demonstrates that
the actual distance on the Earth is shorter than the map distance
.
Can a factor be less than 1?
Properties of Factors
A factor of a number is always less than or equal to the given number.
Every number except 0 and 1 has at least two factors, 1 and itself
. Division and multiplication are the operations that are used in finding the factors.
What is a scale factor 7th grade math?
VOCABULARY. ● Scale Factor:
The ratio of any two corresponding lengths in two similar
.
geometric figures
.
What does a 1 1 scale mean?
The scale of drawings is described as a ratio using the notation: A distance at full size : The distance at the scale used that would be the same length. For example:
A full size drawing
would be 1:1 (or sometimes 1/1 or ‘one to one’). A half size drawing would be 1:2.
What does scale factor mean?
The scale factor is
a measure for similar figures, who look the same but have different scales or measures
. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
What does a scale of 1:2 mean?
Half scale is 1:2. It is helpful to think of this as
one unit on the drawing equals two units on the object
. A small object can be enlarged on the paper and drawn in 2:1 scale. This means the drawing of the object is twice as large as the object itself.
When the scaling factor is uniform and 1 then the entity will be?
The scaling is uniform if and only if the scaling factors are equal (v
x
= v
y
= v
z
). If all except one of the scale factors are equal to 1, we have
directional scaling
.
What is 1.5 as a scale factor?
| DRAWING SCALE SCALE FACTOR DECIMAL SCALE | 3/4′′ = 1′-0′′ 16 .75′′ = 1′-0′′ | 1′′ = 1′-0′′ 12 1′′ = 1′-0′′ | 1 1/2′′ = 1′-0′′ 8 1.5′′ = 1′-0′′ | 3′′ = 1′-0′′ 4 3′′ = 1′-0′′ |
|---|
What happens when the scale factor is negative?
A shape can be enlarged with a negative scale factor. If the scale factor is negative,
the shape is enlarged on the other side of the centre of enlargement and it is turned upside down
.
How do you find the scale factor of the smaller figure to the larger figure?
How do you find the scale factor of a dilation without a graph?
How do you scale down dimensions?
To scale an object to a smaller size, you simply
divide each dimension by the required scale factor
. For example, if you would like to apply a scale factor of 1:6 and the length of the item is 60 cm, you simply divide 60 / 6 = 10 cm to get the new dimension.
What is the scale factor of 2?
The size of an enlargement/reduction is described by its scale factor. For example, a scale factor of 2 means that
the new shape is twice the size of the original
. A scale factor of 3 means that the new shape is three times the size of the original.
Is scale factor the same as ratio?
To make realistic models, the scale factor is used to find proportional measurements. Proportional means having the same ratio.
A scale factor is the ratio of the model measurement to the actual measurement in simplest form
. Unlike a scale ratio, the scale factor does not compare different units of measurement.
What is scale factor and how do you find it?
Suppose you have two similar figures , one larger than the other. The scale factor is
the ratio of the length of a side of one figure to the length of the corresponding side of the other figure
. Example: Here, XYUV=123=4 .
How do you find the dimension?
Measure any two sides (length, width or height) of an object or surface in order to get a two-dimensional measurement
. For example, a rectangle that has a width of 3 feet and height of 4 feet is a two-dimensional measurement. The dimensions of the rectangle would then be stated as 3 ft. (width) x 4 ft.
How can we describe the scale for a scale drawing?
The scale is shown as
the length in the drawing, then a colon (“:”), then the matching length on the real thing
. Example: this drawing has a scale of “1:10”, so anything drawn with the size of “1” would have a size of “10” in the real world, so a measurement of 150mm on the drawing would be 1500mm on the real horse.
How do you find the scale factor of a dilation?
The scale factor can either increase the size of an object or decrease the size of an object. The basic formula to find the scale factor of a dilated figure is:
Scale factor = Dimension of the new shape ÷ Dimension of the original shape
.
What happens when a triangle is dilated using one of the vertices as the center of dilation?
Answer. The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the preimage and image will be parallel.
The vertex used as the center of dilation will be in the same location in both triangles
.
What is the dilation rule?
A notation rule has the following form
Dk(x,y)=(kx,ky)
and tells you that the preimage has undergone a. dilation about the origin by scale factor k. If k is greater than one, the dilation image will be larger than the. preimage. If k is between 0 and 1, the dilation image will be smaller than the preimage.
When the size of the drawing and the object is the same then it is known as?
question. When the drawing is drawn of the same size as that of the object, the scale used is a
unit scale
. The objective of using a unit scale is to compare the different dimensions that have the same size as that of the object. It is considered as a ratio, used to compare between two values.
What is a transformation that produces a similar figure such as a dilation called?
A transformation that produces a similar figure, such as a dilation, is called a
Similarity Transformation
.
