Chapter 4: Q26. (page 179)

For exercises 26-28, use quadrilateral $Q R S T$ shown at the right.
26. Write the vertex matrix. Multiply the vertex matrix by $- 1$

Short Answer

Expert verified

Coordinates of quadrilateral $Q R S T$ in vertex matrix is $[\begin{matrix} 2 & 4 & 2 & - 3 \\ 3 & - 3 & - 5 & - 2 \end{matrix}]$

Multiplication of vertex matrix with $- 1$ gives $[\begin{matrix} - 2 & - 4 & - 2 & 3 \\ - 3 & 3 & 5 & 2 \end{matrix}]$

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 quadrilateral

Since, a quadrilateral 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 quadrilateral are $Q (2, 3), R (4, - 3), S (2, - 5), and T (- 3, - 2)$

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

$[\begin{matrix} 2 & 4 & 2 & - 3 \\ 3 & - 3 & - 5 & - 2 \end{matrix}]$

- Multiply with -1

Multiply the vertex matrix of given quadrilateral with $- 1$ to get

$- 1 \times [\begin{matrix} 2 & 4 & 2 & - 3 \\ 3 & - 3 & - 5 & - 2 \end{matrix}] = [\begin{matrix} - 2 & - 4 & - 2 & 3 \\ - 3 & 3 & 5 & 2 \end{matrix}]$

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For exercises 26-28, use quadrilateral $Q R S T$ shown at the right.
26. Write the vertex matrix. Multiply the vertex matrix by $- 1$

Short Answer

Step by step solution

- Vertex matrix

- Vertex matrix of a quadrilateral

- Required vertex matrix

- Multiply with -1

One App. One Place for Learning.

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For exercises 26-28, use quadrilateral QRST shown at the right.26. Write the vertex matrix. Multiply the vertex matrix by -1

Short Answer

Step by step solution

- Vertex matrix

- Vertex matrix of a quadrilateral

- Required vertex matrix

- Multiply with -1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Geometry

Theoretical and Mathematical Physics

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

For exercises 26-28, use quadrilateral $Q R S T$ shown at the right.
26. Write the vertex matrix. Multiply the vertex matrix by $- 1$