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.
What kind of scale factor produces an enlargement or reduction of a drawing?
A scale factor of less than 1 results in a figure of reduced dimensions . A scale factor of greater than 1 would result in a figure of enlarged dimensions. As 43>1 , it would create an enlarged figure.
What is the scale factor for the enlargement?
A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image. 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 .
Is a negative scale factor an enlargement?
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 a reduction scale factor?
When Scale Factor is between 0 and 1 , the new shape is a reduction (smaller). Or less than 100%. When Scale Factor is above 1, new shape is an enlargement (bigger).
Is 3 2 an enlargement or reduction?
It’s an enlargement; the scale factor is 3/2. It’s a reduction ; the scale factor is 3. State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2. When A(3, 6) is under a dilation of 2 what are the coordinates of A’?
How do you enlarge a shape by scale factor 2?
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.
How do you calculate the scale factor?
The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape . This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.
When a figure is enlarged the scale factor must be?
The new rectangle will be an enlargement because the scale factor is greater than 1 . To be a reduction, the scale factor must be between 0 and 1.
How do you enlarge a triangle by scale factor 2?
- Enlarge the triangle ABC by a scale factor of 2 about the centre of enlargement O.
- First, draw ray lines from O to each corner of the triangle and extend them.
- Next, measure the distance from O to each corner of ABC. ...
- Finally, join up the points A’ B’ C’
What is an example of scale factor?
A scale factor is a number which multiplies (“scales”) a quantity. For example,the “ C” in y = Cx is the scale factor for x . If the equation were y = 5x, then the factor would be 5.
What is the difference between a reduction and an enlargement?
A scale factor greater than 1 indicates an enlargement. A scale factor less than 1 indicates a reduction .
How do you know if a dilation is an enlargement or reduction?
A dilation that has a scale factor between _and_1 that produces an image that is smaller than the preimage. If k > 1, then the dilation is an enlargement. If 0 Sk § 1, then the dilation is a reduction .
