Q4. Triangle ABC with vertices A1,4,... [FREE SOLUTION]

Chapter 4: Q4. (page 178)

Triangle $A B C$ with vertices $A (1, 4), B (2, - 5), and C (- 6, - 6)$ is translated 3 units right and 1 unit down.
4. Write the translation matrix.

Short Answer

Expert verified

The translation matrix is $[\begin{matrix} 3 & 3 & 3 \\ - 1 & - 1 & - 1 \end{matrix}]$

Step by step solution

- Write general translation matrix

Since, an ordered pair is represented by a column matrix and triangle has 3 ordered pair on vertices so required matrix has 2 rows and 3 columns.

If the matrix is translated to x units right or left then x is added or subtracted from first row respectively.

If the matrix is translated to y units up or down then y is added or subtracted from second row respectively.

Thus translation matrix is of the form

[\begin{matrix} x & x & x \\ y & y & y \end{matrix}]

- Find value of x and y

As the triangle is translated 3 units right, so $x = 3$

As the triangle is translated 1 unit down, so $y = - 1$

- Find translated matrix

Substitute 3 forx and $- 1$ for y in general translated matrix gives required matrix

[\begin{matrix} 3 & 3 & 3 \\ - 1 & - 1 & - 1 \end{matrix}]

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

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Triangle $A B C$ with vertices $A (1, 4), B (2, - 5), and C (- 6, - 6)$ is translated 3 units right and 1 unit down.
4. Write the translation matrix.

Short Answer

Step by step solution

- Write general translation matrix

- Find value of x and y

- Find translated matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Mechanics Maths

Calculus

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

91影视

Triangle ABC with vertices A1,4,B2,-5,andC-6,-6 is translated 3 units right and 1 unit down.4. Write the translation matrix.

Short Answer

Step by step solution

- Write general translation matrix

- Find value of x and y

- Find translated matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Mechanics Maths

Calculus

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Triangle $A B C$ with vertices $A (1, 4), B (2, - 5), and C (- 6, - 6)$ is translated 3 units right and 1 unit down.
4. Write the translation matrix.