Q18. For exercises 18-20, use the fol... [FREE SOLUTION]

Chapter 4: Q18. (page 179)

For exercises 18-20, use the following information
The vertices of $螖 X Y Z$ are $X (1, - 1), Y (2, - 4), and Z (7, - 1)$ . The triangle is reflected over the line $y = x$
18. Write the coordinates for $螖 X Y Z$ in a vertex matrix

Short Answer

Expert verified

Coordinates of triangle $X Y Z$ in vertex matrix is $[\begin{matrix} 1 & 2 & 7 \\ - 1 & - 4 & - 1 \end{matrix}]$

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 triangle

Since, a triangle has 3 ordered pair on vertices so required matrix has 2 rows and 3 columns.

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

- Required vertex matrix

As coordinates of the vertices of triangle are $X (1, - 1), Y (2, - 4), and Z (7, - 1)$

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

$[\begin{matrix} 1 & 2 & 7 \\ 鈭� 1 & 鈭� 4 & 鈭� 1 \end{matrix}]$

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91影视

For exercises 18-20, use the following information
The vertices of $螖 X Y Z$ are $X (1, - 1), Y (2, - 4), and Z (7, - 1)$ . The triangle is reflected over the line $y = x$
18. Write the coordinates for $螖 X Y Z$ in a vertex matrix

Short Answer

Step by step solution

- Vertex matrix

- Vertex matrix of a triangle

- Required vertex matrix

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

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91影视

For exercises 18-20, use the following informationThe vertices of 螖XYZ are X1,-1,Y2,-4,andZ7,-1. The triangle is reflected over the line y=x18. Write the coordinates for 螖XYZ in a vertex matrix

Short Answer

Step by step solution

- Vertex matrix

- Vertex matrix of a triangle

- Required vertex matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Decision Maths

Geometry

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

For exercises 18-20, use the following information
The vertices of $螖 X Y Z$ are $X (1, - 1), Y (2, - 4), and Z (7, - 1)$ . The triangle is reflected over the line $y = x$
18. Write the coordinates for $螖 X Y Z$ in a vertex matrix