How do you enlarge a shape with a scale factor?
To enlarge a shape, multiply all lengths of the shape by the scale factor. The scale factor tells us how many times larger the shape will be. For example, enlarging a shape by scale factor 2 means that all of the sides will become 2 times longer. This rectangle is 1 square wide and 2 squares long.
What does it mean to enlarge a shape by a 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. You can get the ‘big’ and ‘small’ from the corresponding sides on the figures.
What is a scale factor of enlargement?
The scale factor describes the size of an enlargement or reduction. For example, a scale factor of means that the new shape is twice the size of the original. A scale factor of means that the new shape is three times the size of the original.
What does it mean to enlarge by scale factor?
What if the scale factor is negative?
An enlargement with a negative scale factor produces an image on the other side of the centre of enlargement. The image appears upside down. The rectangle ABCD has been enlarged by a scale factor of . The lengths in rectangle A’B’C’D’ are times as long as rectangle ABCD.
What is scale factor in enlargement?
What is a 0.5 scale factor?
A scale factor of 0.5 means that the changed image will be scaled down. For example, the original figure of a square has one of its sides as 6 units. Now, let us use the scale factor of 0.5, to change its size. Using the formula: Dimensions of the new shape = Dimensions of the original shape × Scale factor.
How do you enlarge a shape using a scale factor?
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.
What does a scale factor of 0.5 mean?
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.
What happens to a shape when the scale factor is negative?
An enlargement makes a shape larger or smaller. An enlargement is a type of transformation . A scale factor can be negative and a fraction. For example, a scale factor of − 1 ⁄ 2 will also enlarge a shape on the other side of the center of enlargement and turned upside down.
What’s the difference between an enlargement and a reduction?
• A reduction results in an image that is the same shape but proportionally smaller than the original. • The scale factor is the constant amount that all dimensions of an object are multiplied by to draw an enlargement or reduction. A scale factor greater than 1 indicates an enlargement. A scale factor less than 1 indicates a reduction.