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Chapter 4: Q9. (page 178)

For exercises 7-10, use the rectangle at the right

9. Find the coordinates of the image after a reflection over the x-axis

Short Answer

Expert verified

Coordinates of the image after a reflection over x axis are A'0,-4,B'5,-4,C'5,0,andD'0,0

Step by step solution

01

- Write Coordinates of rectangle 

From given image, coordinates of the vertices of rectangle are A0,4,B5,4,C5,0,andD0,0

02

- Vertex matrix after reflection

Vertex matrix of given rectangle is 05504400

So vertex matrix of new rectangle after reflection over the x -axis is product matrix 100-1with vertex matrix of given rectangle as shown below

100-1脳05504400=0550-4-400

03

- Coordinates of image after reflection

As, each coordinate is represented by a column of vertex matrix, so each column represents one coordinate.

Thus, coordinates of image after reflection are

A'0,鈭�4,B'5,鈭�4,C'5,0,andD'0,0

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Most popular questions from this chapter

Use matrices A, B, Cand Dto find the following.

A=57鈭�163鈭�9,鈥夆赌�B=835144,鈥夆赌�C=04鈭�257鈭�1,鈥夆赌�D=6290鈭�30

4C

For exercises 30-32, use the following information. The Cookie Cutter Bakery records each type of cookie sold at three of their branch stores. Two days of sales are shown in the spreadsheets below.

30. Write a matrix for each day鈥檚 sales.

State the dimensions of each matrix.

16810500

Solve each equation.

x+3y3x+y=-131

Determine whether each matrix product is defined. If so, state the dimensions of the product.

A3脳1鈰�B1脳5
See all solutions

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