Q36. For Exercises 34-38, use the fig... [FREE SOLUTION]

Chapter 4: Q36. (page 200)

For Exercises 34-38, use the figure below.
Graph the vertices of the transformed rectangle. Describe the transformation.

Short Answer

Expert verified

The graph of the vertices of the transformed rectangle is:

The transformation is a dilation in which the rectangle has becomes two times enlarged that is all the linear measures of the transformed rectangle is two times the linear measures of the given rectangle.

Step by step solution

- Observe the given figure.

The given figure is:

- Description of step.

It is being given that $B = [\begin{matrix} 2 & 0 \\ 0 & 2 \end{matrix}]$

The vertex matrixA is given by: $A = [\begin{matrix} 0 & 4 & 2 & 鈭� 2 \\ 0 & 4 & 6 & 2 \end{matrix}]$

Therefore, the value of BA is given by:

$\begin{matrix} B A = [\begin{matrix} 2 & 0 \\ 0 & 2 \end{matrix}] 鈰� [\begin{matrix} \begin{matrix} 0 & 4 & 2 & 鈭� 2 \\ 0 & 4 & 6 & 2 \end{matrix} \end{matrix}] \\ = [\begin{matrix} \begin{matrix} 0 + 0 & 8 + 0 & 4 + 0 & 鈭� 4 + 0 \\ 0 + 0 & 0 + 8 & 0 + 12 & 0 + 4 \end{matrix} \end{matrix}] \\ = [\begin{matrix} \begin{matrix} 0 & 8 & 4 & 鈭� 4 \\ 0 & 8 & 12 & 4 \end{matrix} \end{matrix}] \end{matrix}$

Therefore , the vertex matrix for the transformed rectangle is: $B A = [\begin{matrix} \begin{matrix} 0 & 8 & 4 & 鈭� 4 \\ 0 & 8 & 12 & 4 \end{matrix} \end{matrix}]$

Therefore, it can be noticed that the vertices of the transformed rectangle are: $(0, 0)$ , $(8, 8)$ , $(4, 12)$ and $(鈭� 4, 4)$ .

- Draw the graph of the vertices of the transformed rectangle.

The graph of the vertices of the transformed rectangle is:

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For Exercises 34-38, use the figure below.
Graph the vertices of the transformed rectangle. Describe the transformation.

Short Answer

Step by step solution

- Observe the given figure.

- Description of step.

- Draw the graph of the vertices of the transformed rectangle.

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91影视

For Exercises 34-38, use the figure below.Graph the vertices of the transformed rectangle. Describe the transformation.

Short Answer

Step by step solution

­- Observe the given figure.

­- Description of step.

­- Draw the graph of the vertices of the transformed rectangle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Applied Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

For Exercises 34-38, use the figure below.
Graph the vertices of the transformed rectangle. Describe the transformation.

- Observe the given figure.

- Description of step.

- Draw the graph of the vertices of the transformed rectangle.