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How do you enlarge a shape using a scale factore of 0.5?
When a shape is enlarged, the scale factor tells by how much to multiply each length of the original shape to get the corresponding length on the new shape. So with a scale factor for 0.5 (or 1/2), each length of the new shape is 0.5 (or 1/2) times the lengths of the original shape. For example, to enlarge a triangle with sides 6", 8", 10" by a scale factor or 0.5, the lengths become 6" x 0.5 = 3", 8" x 0.5 = 4", 10" x 0.5 = 5"; so the resulting triangle has sides 3", 4", 5". To do the enlargement through a centre of enlargement, a straight line is drawn from each point (vertex) of the shape to the centre of enlargement. The distance from the centre to the point is measured and multiplied by the scale factor; this new distance is measured along the same line from the centre of enlargement as the original point. In this case, negative scale factors can be given, in which case the new distance is measured in the opposite direction from the centre of enlargement, away from the original point.
How do you calculate the scale factor if you have the scale?
You calculate the scale factor if you do have a scale is by dividing if it is a small shape to a large shape and multiplying if it is a large shape to a small shape example: shape 1 sqaure shape 2 square equation 2 10 10/2=5 shape 2 square shape 2 square equation 10 2 2/10
How do you scale-up a drawing?
If you increase a shape by a scale factor of 2, you double the height and double the width. If you increase a shape by a scale factor of 3, you treble the height and treble the width. If you are interested in doing this mechanically, use a pantograph.
What is an enlargement with a negative scale factor?
It is a smaller shape on the other side of the centre of enlargement.
What is a face value in maths?
A face value in maths is the out-side of the shape, as to say the face of a shape. The face value is the sides of a shape.
Is a scale factor of 1 a dilation?
No a scale factor of 1 is not a dilation because, in a dilation it must remain the same shape, which it would, but the size must either enlarge or shrink.
Which type of transformation uses a scale factor?
A similarity transformation uses a scale factor to enlarge or reduce the size of a figure while preserving its shape. It includes transformations such as dilation and similarity.
What is the scale factor of a 3 sided shape?
1 shape cannot have a scale factor. A scale factor is something (a factor) that relates one shape to another.
How do you enlarge a figure on a coordinate graph?
To enlarge a figure on a coordinate graph, you can apply a dilation transformation using a scale factor. Choose a center point for the dilation, often the origin or the center of the figure, and multiply the coordinates of each vertex by the scale factor. For example, if you use a scale factor of 2, each coordinate (x, y) becomes (2x, 2y), effectively doubling the size of the figure while maintaining its shape and proportions.
How do you find the scale factor of a shape?
Divide The Little Shape By The Big Shape ,
How do you enlarge a shape?
mesure the distance from the point to a corner, then keep going for distance * scale do it for each corner
How do you enlarge a shape using a scale factore of 0.5?
When a shape is enlarged, the scale factor tells by how much to multiply each length of the original shape to get the corresponding length on the new shape. So with a scale factor for 0.5 (or 1/2), each length of the new shape is 0.5 (or 1/2) times the lengths of the original shape. For example, to enlarge a triangle with sides 6", 8", 10" by a scale factor or 0.5, the lengths become 6" x 0.5 = 3", 8" x 0.5 = 4", 10" x 0.5 = 5"; so the resulting triangle has sides 3", 4", 5". To do the enlargement through a centre of enlargement, a straight line is drawn from each point (vertex) of the shape to the centre of enlargement. The distance from the centre to the point is measured and multiplied by the scale factor; this new distance is measured along the same line from the centre of enlargement as the original point. In this case, negative scale factors can be given, in which case the new distance is measured in the opposite direction from the centre of enlargement, away from the original point.
What scale factors enlarges a shape?
A scale factor greater than 1.
How do you calculate the scale factor if you have the scale?
You calculate the scale factor if you do have a scale is by dividing if it is a small shape to a large shape and multiplying if it is a large shape to a small shape example: shape 1 sqaure shape 2 square equation 2 10 10/2=5 shape 2 square shape 2 square equation 10 2 2/10
How does the area change when you have a scale factor of 2?
When the scale factor is 2, the area of a shape increases by a factor of the square of the scale factor. Therefore, if the original area is ( A ), the new area becomes ( 2^2 \times A = 4A ). This means the area quadruples when the dimensions of the shape are scaled by a factor of 2.
What if the scale factors equal 1?
If the scale factor between two shapes is 1, the shapes are congruent.
Enlarge shape A with a scale factor of -½ centre O whats this mean - especially the centre 0?
When enlarging a shape through a centre (O in this case, which is the usual letter of the origin for x/y axes) measure the distance from each point on the shape to the centre of enlargement, multiply it by the scale factor to get the new distance and then (keeping the measuring device, eg ruler, still) measure the new distance from the centre.By having a scale factor the exact size of the image is known; andby having a centre of enlargement the exact position of the image is known.Note: When the scale factor is negative, the distances will change sign and so be measured in the opposite direction.So in this case, the following will happen:. . . . . . . . . . . . . . . . . . . . . .. . . ./\ . . . . . . . . . . . . . . . . .. . . / .\. . . . . . . . . . . . . . . . .. . ./__\ . . . . . .O . . . \ . . ./. .. . / . . .\. . . . . . .* . . . \--/. .. ./. . . . \ . . . . . . . . . . .\/ . . .. / . . . . .\. . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . .Where the A shape on the left becomes the (smaller) upside down A on the right when enlarged with a scale factor of -½ and centre O.(You'll have to excuse the ASCII graphics for not complete accuracy.)
