Q21. For exercises 21-23, use the fol... [FREE SOLUTION]

Chapter 4: Q21. (page 179)

For exercises 21-23, use the following information
Parallelogram $D E F G$ with $D (2, 4), E (5, 4), F (4, 1), and G (1, 1)$ is rotated $270 掳$ counter clockwise about the origin.
21. Write the coordinates of the parallelogram in a vertex matrix.

Short Answer

Expert verified

Coordinates of parallelogram $D E F G$ in vertex matrix is $[\begin{matrix} 2 & 5 & 4 & 1 \\ 4 & 4 & 1 & 1 \end{matrix}]$

Step by step solution

- Vertex matrix

An ordered pair $(x, y)$ is represented by a column matrix $[\begin{matrix} x \\ y \end{matrix}]$ which is known as vertex matrix of an ordered pair.

- Vertex matrix of a parallelogram

Since, a parallelogram has 4 ordered pair on vertices so required matrix has 2 rows and 4 columns.

First row represent $x - coordinate$ and second row represents $y - coordinate$ of each vertex.

- Required vertex matrix

As coordinates of the vertices of parallelogram are $D (2, 4), E (5, 4), F (4, 1), and G (1, 1)$

Write each ordered pair as a column of a matrix to get

$[\begin{matrix} 2 & 5 & 4 & 1 \\ 4 & 4 & 1 & 1 \end{matrix}]$

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91影视

For exercises 21-23, use the following information
Parallelogram $D E F G$ with $D (2, 4), E (5, 4), F (4, 1), and G (1, 1)$ is rotated $270 掳$ counter clockwise about the origin.
21. Write the coordinates of the parallelogram in a vertex matrix.

Short Answer

Step by step solution

- Vertex matrix

- Vertex matrix of a parallelogram

- Required vertex matrix

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91影视

For exercises 21-23, use the following informationParallelogram DEFG with D2,4,E5,4,F4,1,andG1,1 is rotated 270掳 counter clockwise about the origin.21. Write the coordinates of the parallelogram in a vertex matrix.

Short Answer

Step by step solution

- Vertex matrix

- Vertex matrix of a parallelogram

- Required vertex matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

For exercises 21-23, use the following information
Parallelogram $D E F G$ with $D (2, 4), E (5, 4), F (4, 1), and G (1, 1)$ is rotated $270 掳$ counter clockwise about the origin.
21. Write the coordinates of the parallelogram in a vertex matrix.