Coordinate Geometry Task Assessment
Geometry Standards
- HSG-GPE.A: Work with geometric descriptions and the equation for a conic section
- HSG-CO.A: Experiment with transformations in the plane
Part 1
(x, y) (x - 3, 4 - y) is an example of a transformation called a glide reflection. Complete the table using the rule.
Graph the points in the input column for the original triangle in the applet, then graph the points in the output column for the glide reflection (image) of the triangle.
Does this glide reflection produce a triangle congruent to the original triangle? Explain your answer or show it in the applet.
Part 2
Match each equation to its description (only select one description for each equation).
1. (x - 1)2 + y2 = 9
Select all that apply
- A
- B
- C
- D
- E
2. x2 + (y + 4)2 = 9
Select all that apply
- A
- B
- C
- D
- E
3. (x - 1)2 + (y - 4)2 = 3
Select all that apply
- A
- B
- C
- D
- E
4. (x - 1)2 + (y + 4)2 = 9
Select all that apply
- A
- B
- C
- D
- E
5. (x - 1)2 + (y + 4)2 = 3
Select all that apply
- A
- B
- C
- D
- E
Part 3
Find the center and radius of the circle represented by the equation x2 + y2 + 4x - 10y + 20 = 0