How do you enlarge a scale factor?
Enlarge the triangle PQR by a scale factor of 3 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 PQR. Multiply this distance by 3 and plot the points P’ Q’ and R’.
- Finally join up the points P’ Q’ R’.
What type of scale factor makes an enlargement?
Linear scale factor
What does scale factor 2 enlarge mean?
If a shape is being enlarged by a scale factor of 2, the distance from the centre of enlargement to each vertex will be twice the size. The size of the shape will also be twice the size.
How do you enlarge a shape by scale factor 1 2?
2) If the scale factor is 2, draw a line from the centre of enlargement, through each vertex, which is twice as long as the length you measured. If the scale factor is 3, draw lines which are three times as long. If the scale factor is 1/2, draw lines which are 1/2 as long, etc. The centre of enlargement is marked.
How do you enlarge by a negative scale factor?
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 happens if a 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.
What happens when the scale factor is 0?
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).
Why the scale factor Cannot be 1 or 0?
Scale factor is basically a ratio of two similar figures of two corresponding lengths. Scale factor is used in scaling as a multiplier. Hence, from above discussion it concludes that scale factor cannot be because dilation can’t have scale factor zero.
Can a scale factor be less than 1?
In two similar geometric figures, the ratio of their corresponding sides is called the scale factor. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one.
Is the scale factor is greater than one the new figure will be what?
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.
Where do we use scale factor in everyday life?
Scale factor is often utilized in cooking recipes/procedures. For example, when using a recipe to make a dozen cookies, you follow the required amount of ingredients (i.e., 3 cups of flour, 2 eggs, 6 cups of sugar, etc.). You want to make 25 cookies and only have the recipe for a dozen cookies.