Chapter 14: Q12. (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 O.

Short Answer

Expert verified

$R_{x - a x i s} : O = (0, 0) \to (0, 0)$
$R_{y - a x i s} : O = (0, 0) \to (0, 0)$
$R_{y = x} : O = (0, 0) \to (0, 0)$

Step by step solution

a.Step 1. Given Information.

Coordinate of point O is $(0, 0)$

Step 2. Explanation.

The image of O $(0, 0)$ in the x-axis is $(0, 0)$ as the point lie in the line of reflection

Step 3. Conclusion.

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

b.Step 1. Given Information.

Coordinate of point O is $(0, 0)$

Step 2. Calculation.

Image of O $(0, 0)$ in the y-axis is $(0, 0)$ as the point pass through the y-axis.

Step 3. Conclusion.

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

c.Step 1. Given Information.

Coordinate of point O is $(0, 0)$ .

Step 2. Calculation.

The image of $(0, 0)$ in the line $x = y$ is $(0, 0)$ as the point lie in the line of reflection.

Step 3. Conclusion.

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

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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 O.

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 O.

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

Discrete Mathematics

Logic and Functions

Applied Mathematics

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Decision Maths

Calculus

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 O.