Q45. For Exercises 45-47, use the fol... [FREE SOLUTION]

Chapter 4: Q45. (page 194)

For Exercises 45-47, use the following information.
Triangle $ABC$ with vertices $A (0, 2)$ , $B (- 3, - 1)$ and $C (- 2, - 4)$ is translated 1 unit right and 3 units up.
45. Write the translation matrix.

Short Answer

Expert verified

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

Step by step solution

- Description of step.

A translation of a figure is said to occur when a figure is moved from one location to other without having change in its size, shape or orientation.

- Write the vertex matrix for the triangle ABC.

The vertex matrix for the triangle \[ABC\] is given by:

$[\begin{matrix} 0 & 鈭� 3 & 鈭� 2 \\ 2 & 鈭� 1 & 鈭� 4 \end{matrix}]$

- Description of step.

As the given triangle is translated 1 unit right and 3 units up therefore to translate the given figure, add $1$ to each $x$ -coordinate and add 3 to each $y$ -coordinate.

Therefore the translation matrix has each column as $[\begin{matrix} 1 \\ 3 \end{matrix}]$ .

Therefore, the translation matrix is given by: $[\begin{matrix} 1 & 1 & 1 \\ 3 & 3 & 3 \end{matrix}]$

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91影视

For Exercises 45-47, use the following information.
Triangle $ABC$ with vertices $A (0, 2)$ , $B (- 3, - 1)$ and $C (- 2, - 4)$ is translated 1 unit right and 3 units up.
45. Write the translation matrix.

Short Answer

Step by step solution

- Description of step.

- Write the vertex matrix for the triangle ABC.

- Description of step.

One App. One Place for Learning.

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91影视

For Exercises 45-47, use the following information.Triangle ABCwith vertices A0,2, B-3,-1 and C-2,-4 is translated 1 unit right and 3 units up.45. Write the translation matrix.

Short Answer

Step by step solution

­- Description of step.

­- Write the vertex matrix for the triangle ABC.

­- Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Logic and Functions

Statistics

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

For Exercises 45-47, use the following information.
Triangle $ABC$ with vertices $A (0, 2)$ , $B (- 3, - 1)$ and $C (- 2, - 4)$ is translated 1 unit right and 3 units up.
45. Write the translation matrix.

- Description of step.

- Write the vertex matrix for the triangle ABC.

- Description of step.