Describe the dilation of the triangle ABC, with a scale factor of 5 and a center point of dilation at the origin (0,0).
To describe the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0), we need to take each of the vertices of the triangle and multiply their coordinates by the scale factor.
Let's say the coordinates of point A are (x1, y1), the coordinates of point B are (x2, y2), and the coordinates of point C are (x3, y3).
After applying the dilation with a scale factor of 5, the new coordinates of the triangle vertices can be calculated as follows:
Point A' = (5x1, 5y1)
Point B' = (5x2, 5y2)
Point C' = (5x3, 5y3)
Therefore, the dilated triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0) can be represented by the vertices A', B', and C' which have coordinates (5x1, 5y1), (5x2, 5y2) and (5x3, 5y3) respectively.
To describe the dilation of triangle ABC with a scale factor of 5 and center point of dilation at the origin (0,0), follow these steps:
1. Begin by plotting the coordinates of triangle ABC on a graph. Let's assume the coordinates are:
- Point A: (x₁, y₁)
- Point B: (x₂, y₂)
- Point C: (x₃, y₃)
2. Calculate the new coordinates of each point after dilation using the scale factor of 5. Multiply each original coordinate by the scale factor:
- For point A, the new coordinates are: (5 * x₁, 5 * y₁)
- For point B, the new coordinates are: (5 * x₂, 5 * y₂)
- For point C, the new coordinates are: (5 * x₃, 5 * y₃)
3. Plot the new coordinates for A', B', and C' on the graph. You will notice that the triangle is now larger but similar in shape to the original triangle ABC.
4. Connect the new points A', B', and C' to form a triangle, which is the dilated version of triangle ABC.
That's it! Now you have described the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0).