Question

The point (-5,2) is reflected over the y-axis. Where is the new point located?

(-5,-2)

(-5,2)

(5,2)

(5,-2)
2.
Apply the rule below to the point (-5,6)



(6,5)

(-5,-6)

(-6,5)

(5,-6)
3.
Match the Transformation with it's description.
1.
Translation
2.
Rotation
3.
Reflection
a.
Turning a figure around a given point
b.
Sliding a figuring on a coordinate plane
c.
Flipping a figure over a given line
4.
What graph below shows a reflection over the line x = 4.








5.
What is the line of reflection of the shapes in the graph below:



x = 3

x-axis

y-axis

y = 3
6.
Match the rotation rule with its degree
1.

2.

3.

4.

a.
360 degree rotation
b.
180 degree rotation
c.
90 degree rotation
d.
270 degree rotation
7.

What is the rule for the translation above?








8.
Identify the transformation from ABC to A'B'C'.


Reflection over the x-axis

90 degree rotation

Reflection over the y-axis

270 degree rotation
9.
What would the new point be if you rotated the point (4,9) 180 degrees about the origin.

(-9,4)

(4,9)

(9,-4)

(-4,-9)

answer all 9 questions

Answer 1

Sure, let's go through each question one by one.

1. **The point (-5,2) is reflected over the y-axis. Where is the new point located?**
- The reflection of a point over the y-axis changes the sign of the x-coordinate. Therefore, (-5, 2) becomes (5, 2).
- **Answer: (5, 2)**

2. **Apply the rule below to the point (-5,6)**
- If you have a rule that we need to apply (you didn't specify), I'll assume the transformations could be one of the options listed. It typically could mean changing the signs. However, without the explicit rule for this question, I cannot determine an answer.
- **No applicable transformation provided.**

3. **Match the Transformation with its description.**
- 1. Translation - **b. Sliding a figure on a coordinate plane**
- 2. Rotation - **a. Turning a figure around a given point**
- 3. Reflection - **c. Flipping a figure over a given line**

4. **What graph below shows a reflection over the line x = 4?**
- Since there isn't an image provided, I historically would say that a reflection over the line x = 4 would involve flipping all points such that they are equidistant to this line on the right and left.
- **Cannot assess without a visual.**

5. **What is the line of reflection of the shapes in the graph below:**
- Again, without an image, I'm unable to visually determine this. If there were shapes on either side of a vertical or horizontal line that are symmetrical, that line would often be the line of reflection.
- **Cannot assess without a visual.**

6. **Match the rotation rule with its degree:**
- 1. (360 degrees) - **a. 360 degree rotation**
- 2. (180 degrees) - **b. 180 degree rotation**
- 3. (90 degrees) - **c. 90 degree rotation**
- 4. (270 degrees) - **d. 270 degree rotation**

7. **What is the rule for the translation above?**
- Without seeing the translation movement, I cannot define it accurately. Generally, translation involves adding or subtracting from the x and/or y coordinates of a point.
- **Cannot assess without additional information.**

8. **Identify the transformation from ABC to A'B'C'.**
- The answer depends on the visual comparison between ABC and A'B'C'. A reflection over the x-axis changes the sign of the y-coordinates. A rotation would position the points differently relative to the origin. Since I can't analyze a visual here, I cannot provide a definite answer.
- **Cannot assess without a visual.**

9. **What would the new point be if you rotated the point (4,9) 180 degrees about the origin?**
- A 180-degree rotation about the origin changes the signs of both coordinates. Hence (4, 9) becomes (-4, -9).
- **Answer: (-4, -9)**

Please provide visuals for questions 4, 5, 7, and 8 for more specific answers.