/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q8. Write the coordinates of the ima... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q8. (page 580)

Write the coordinates of the image of each point by reflection in,

  1. The x-axis
  2. The y-axis
  3. The line y=x (Hint: Refer to the Example on page 578)

Point B.

Short Answer

Expert verified
  1. Image of B in the x-axisis (4,0), Rx-axis:B=(4,0)鈫�(4,0)
  2. Ry-axis:B=(4,0)鈫�(-4,0)
  3. Ry=x:B=(4,0)鈫�(0,4)

Step by step solution

01

a.Step 1. Given Information.

Coordinate of point B is (4,0).

02

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.

03

Step 3. Conclusion.

So, the image of B in the x-axisis (4,0), Rx-axis:B=(4,0)鈫�(4,0)

04

b.Step 1. Given Information.

Coordinate of point B is (4,0).

05

Step 2. Calculation.

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

06

Step 3. Conclusion.

So, Ry-axis:B=(4,0)鈫�(-4,0).

07

c.Step 1. Given Information.

Coordinate of point B is (4,0).

08

Step 2. Calculation.

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

09

Step 3. Conclusion.

Therefore, Ry=x:B=(4,0)鈫�(0,4).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Draw the x-axis and y-axis and the line l with equation y=-x. Plot several points and their images under Rl. What is the image of a,b?

Complete the following. Assume points D, C, U, W, X, and Y are obtained by reflection in link k or j.

Rk:鈭�STU鈫�?炉
  1. Plot the points A6,1,B3,4, and C1,-3 and their images A',B', and C' under the transformation R:x,y鈫�-x,y.
  2. Prove that R is an isometry. (Hint: Let Px1,y1 and Qx2,y2 be any two points. Find P' and Q', and use the distance formula to show that PQ=P'Q'.)

The red and blue squares are congruent and have the same center O. A mapping maps each point P of the red squares to the point P' where OP鈫� intersects the blue squares.

  1. Is the mapping a one-to-one?
  2. Copy the diagram and locate a point X that is its own image.
  3. Locate two points R and S on the red squares and their images R' and S' on the blue squares that have the property that RS鈮�R'S'.
  4. Does the mapping preserve distance?
  5. Describe a mapping from the red square onto the blue square that does preserve distance.

In each exercise Rk:A鈫�A'. Find an equation of line k.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.