Version A Grade 7 - Transformations Test
Hello class!
Please read all the instructions and questions fully before answering them and answer each question to the best of your ability. Do NOT leave anything blank!
*To make transformations like rotations, reflections, or dilations on GeoGebra, click the third icon from the right on the toolbar and click the appropriate transformation. First click either the point or the line that will move, then click where that transformation will occur (i.e. about the origin, off the x-axis, etc.). If necessary, fill in the rest of the information and make sure you are following the directions from the question.
You've got this! Good luck!
1. Below is figure 1.
What are the coordinates of triangle ABC? (Make sure to use proper notation!)
2. Triangle ABC has a translation vector of (4, -3). Place triangle A'B'C' at the new location.
2. b) What are the new coordinates for A'B'C'?
3. a) If line AB is reflected off the x-axis, where will the image be?
3. b) What are the coordinates for A'B' if the line is reflected off the x-axis?
Type the answer in the space below. Options: A' (-1, -1), B' (1, 3) A' (1, -1), B' (1, 3) A' (-1, 1), B' (-1, 3) A' (-1, -1), B' (1, -3)
3. c) What are the coordinates for line A'B' if the line is reflected off the y-axis?
Type the answer in the space below. Options: A' (-1, -1), B' (1, -3) A' (1, 1), B' (-1, 3) A' (-1, 1), B' (1, -3) A' (1, -1), B' (1, 3)
4. Point A rotates about the origin 90 degrees counter clockwise. Where will point A' be located? (Show on this cartesian plane.)
4. a) What are the coordinates of A' after the rotation?
5. Line DE rotates about the origin 90 degrees clockwise.
5. a) What are the coordinates for line D'E'?
6. Triangle ABC will be dilated with a scale factor of 2.
What are the coordinates of the dilated image? Show me how you got that as your response.
This is a blank note that you can use to show your work for 6.
7. Triangle PQR will be dilated with a scale factor of 1/2 with the center of dilation at the origin.
What are the coordinates of the dilated image? Show me how you got that as your response.
This is a blank note that you can use to show your work for 7.
8.
8. a) Based on the notation on the triangles above, which triangle is supposed to be the original shape and which one is supposed to be the new image?
a) The brown triangle. b) The purple triangle.
9. If the scale factor between the two triangles in question 8 is 1/2, show me how that will look above.