/*! 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} Q7. Write the coordinates of the ima... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q7. (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 A.

Short Answer

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

Step by step solution

01

a.Step 1. Given Information.

Coordinate of A is (2,4)

02

Step 2. Explanation.

Reflection of A=(2,4) in the x-axis is (2,-4).

03

Step 3. Conclusion.

So, the image of A in the x-axis is (2,-4), Rx-axis:A=(2,4)鈫�(2,-4)

04

b.Step 1. Given Information.

Coordinate of A is (2,4).

05

Step 2. Calculation.

Reflection of A=(2,4) in the y-axis is (2,-4).

06

Step 3. Conclusion.

So, Ry-axis:A=(2,4)鈫�(-2,4).

07

c.Step 1. Given Information.

Coordinate of A is (2,4).

08

Step 2. Calculation.

Reflection of A=(2,4) in the line y=x is (4,2)

09

Step 3. Conclusion.

Therefore, Ry=x:A=(2,4)鈫�(4,2).

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

ABCDis a trapezoid. Describe a way of mapping each point of DC炉 to a point of AB炉 so that the mapping is one-to-one. Is your mapping an isometry?

Explain how Corollary I follows from Theorem 14-1.
  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'.)

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 E.
  1. If mapping M:x,y鈫�2x,2y, find the images of P and Q in the diagram.
  2. Is M a transformation?
  3. Does M appear to be an isometry?
  4. Decide whether M maps the midpoint of PQ炉 to the midpoint of P'Q'炉.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Statistics

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.