Chapter 14: Q8. (page 580)

Write the coordinates of the image of each point by reflection in,
The $x - a x i s$
The $y - a x i s$
The line $y = x$ (Hint: Refer to the Example on page 578)
Point B.

Short Answer

Expert verified

Image of B in the $x - a x i s$ is $(4, 0)$ , $R_{x - a x i s} : B = (4, 0) \to (4, 0)$
$R_{y - a x i s} : B = (4, 0) \to (- 4, 0)$
$R_{y = x} : B = (4, 0) \to (0, 4)$

Step by step solution

a.Step 1. Given Information.

Coordinate of point B is $(4, 0)$ .

Step 2. Explanation.

Image of B $(4, 0)$ in the x-axis is $(4, 0)$ . The image of point is itself as it is on the line in which the image is taken.

Step 3. Conclusion.

So, the image of B in the $x - a x i s$ is $(4, 0)$ , $R_{x - a x i s} : B = (4, 0) \to (4, 0)$

b.Step 1. Given Information.

Coordinate of point B is $(4, 0)$ .

Step 2. Calculation.

Image of B $(4, 0)$ in the y-axis is $(- 4, 0)$ .

Step 3. Conclusion.

So, $R_{y - a x i s} : B = (4, 0) \to (- 4, 0)$ .

c.Step 1. Given Information.

Coordinate of point B is $(4, 0)$ .

Step 2. Calculation.

Image of B $(4, 0)$ in the line $x = y$ is $(0, 4)$

Step 3. Conclusion.

Therefore, $R_{y = x} : B = (4, 0) \to (0, 4)$ .

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Write the coordinates of the image of each point by reflection in,
The $x - a x i s$
The $y - a x i s$
The line $y = x$ (Hint: Refer to the Example on page 578)
Point B.

Short Answer

Step by step solution

a.Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

b.Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

c.Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Write the coordinates of the image of each point by reflection in,The x-axisThe y-axisThe line y=x (Hint: Refer to the Example on page 578)Point B.

Short Answer

Step by step solution

a.Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

b.Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

c.Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Write the coordinates of the image of each point by reflection in,
The $x - a x i s$
The $y - a x i s$
The line $y = x$ (Hint: Refer to the Example on page 578)
Point B.