Chapter 4: Q56. (page 188)

For exercises 56-58, use the following information
The vertices of $Δ A B C$ are $A (- 2, 1), B (1, 2), and C (2, - 3)$ . The triangle is dilated so that its perimeter is $2 \frac{1}{2}$ times the original perimeter.
56. Write the coordinates for $Δ A B C$ in a vertex matrix

Short Answer

Expert verified

Coordinates of triangle $A B C$ in vertex matrix is $[\begin{matrix} - 2 & 1 & 2 \\ 1 & 2 & - 3 \end{matrix}]$

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 $A (- 2, 1), B (1, 2), and C (2, - 3)$

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

[\begin{matrix} - 2 & 1 & 2 \\ 1 & 2 & - 3 \end{matrix}]

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

For exercises 56-58, use the following information
The vertices of $Δ A B C$ are $A (- 2, 1), B (1, 2), and C (2, - 3)$ . The triangle is dilated so that its perimeter is $2 \frac{1}{2}$ times the original perimeter.
56. Write the coordinates for $Δ A B C$ 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

Applied Mathematics

Calculus

Decision Maths

Theoretical and Mathematical Physics

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

For exercises 56-58, use the following informationThe vertices of ΔABCare A-2,1,B1,2,andC2,-3. The triangle is dilated so that its perimeter is 212 times the original perimeter.56. Write the coordinates for ΔABC 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

Applied Mathematics

Calculus

Decision Maths

Theoretical and Mathematical Physics

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

For exercises 56-58, use the following information
The vertices of $Δ A B C$ are $A (- 2, 1), B (1, 2), and C (2, - 3)$ . The triangle is dilated so that its perimeter is $2 \frac{1}{2}$ times the original perimeter.
56. Write the coordinates for $Δ A B C$ in a vertex matrix