Q3. Write a translation matrix that ... [FREE SOLUTION]

Chapter 4: Q3. (page 178)

Write a translation matrix that moves $螖 D E F$ up and left on the coordinate plane.

Short Answer

Expert verified

If a triangle is translated x units to the left and y units to the up then translation matrix is $[\begin{matrix} - x & - x & - x \\ y & y & y \end{matrix}]$

Step by step solution

- Vertex matrix

Let $(a_{1}, a_{2})$ be an ordered pair then its vertex matrix will be $[\begin{matrix} a_{1} \\ a_{2} \end{matrix}]$

- Vertex matrix for a triangle

As a triangle has 3 ordered pair on vertices so required matrix has 2 rows and 3 columns. If $(d_{1}, d_{2}), (e_{1}, e_{2}), and (f_{1}, f_{2})$ are coordinates of $螖 D E F$ then its vertex matrix will be localid="1648727656737" $[\begin{matrix} d_{1} & e_{1} & f_{1} \\ d_{2} & e_{2} & f_{2} \end{matrix}]$

- Write general translation matrix

Let the matrix is translated to xunits left then x is subtracted from first row and let the matrix is translated to yunits up then yis added from second row.

Thus translation matrix is of the form

$[\begin{matrix} - x & - x & - x \\ y & y & y \end{matrix}]$

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91影视

Write a translation matrix that moves $螖 D E F$ up and left on the coordinate plane.

Short Answer

Step by step solution

- Vertex matrix

- Vertex matrix for a triangle

- Write general translation matrix

One App. One Place for Learning.

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91影视

Write a translation matrix that moves 螖DEFup and left on the coordinate plane.

Short Answer

Step by step solution

- Vertex matrix

- Vertex matrix for a triangle

- Write general translation matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Mechanics Maths

Pure Maths

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Write a translation matrix that moves $螖 D E F$ up and left on the coordinate plane.