Triangle ABC is shown on the coordinate grid...
Translate Δ ABC
6 units horizontally. How are the values in the ordered pairs affected by the translation?
Translate Δ ABC −3
units vertically. How are the values in the ordered pairs affected by the translation?
How could you determine the coordinates of the vertices of a translated image without using a graph?
What happens to the coordinates of a triangle during a horizontal or vertical translation?
To translate a triangle ΔABC 6 units horizontally, you would add 6 to the x-coordinate of each vertex of the triangle. This means that the x-values in the ordered pairs of each vertex would increase by 6.
For example, if the original coordinates of vertex A were (x1, y1), after the horizontal translation, the new coordinates of vertex A would be (x1 + 6, y1). Similarly, the new coordinates of vertices B and C would be (x2 + 6, y2) and (x3 + 6, y3), respectively.
To translate ΔABC -3 units vertically, you would subtract 3 from the y-coordinate of each vertex of the triangle. This means that the y-values in the ordered pairs of each vertex would decrease by 3.
For example, if the original coordinates of vertex A were (x1, y1), after the vertical translation, the new coordinates of vertex A would be (x1, y1 - 3). Similarly, the new coordinates of vertices B and C would be (x2, y2 - 3) and (x3, y3 - 3), respectively.
If you need to determine the coordinates of the vertices of a translated image without using a graph, you can use the given translation rules.
For a horizontal translation, simply add the translation amount to the x-coordinate of each vertex.
For a vertical translation, subtract the translation amount from the y-coordinate of each vertex.
By applying these rules to the original coordinates of the triangle, you can determine the coordinates of the vertices of the translated image without using a graph.
To translate triangle ABC 6 units horizontally, you would add 6 to the x-coordinates of each vertex. So, if the original coordinates of triangle ABC were A(x1, y1), B(x2, y2), and C(x3, y3), the translated triangle would have new coordinates A(x1 + 6, y1), B(x2 + 6, y2), and C(x3 + 6, y3).
To translate triangle ABC -3 units vertically, you would subtract 3 from the y-coordinates of each vertex. So, the new coordinates would be A(x1, y1 - 3), B(x2, y2 - 3), and C(x3, y3 - 3).
To determine the coordinates of the vertices of a translated image without using a graph, you would simply apply the translations to the original coordinates of the vertices. Add or subtract the specified units to the x and y coordinates as described in the previous steps.