Chapter 3.1, Problem 5PSA

a

To determine

To graph : The rotation of triangle PQR by ${180}^0$ in the clockwise direction about the point O has to be graphed

Explanation of Solution

Given information : The following information is given regarding the coordinates of the original triangle

  $P=(-5,0)$

Y $Q=(-2,6)$

Y $R=(7,0)$

Thus, the triangle is as follows

  

Graph : We rotate the triangle PQR by ${180}^0$ in the clockwise direction about the point O. hence, we get

  

Interpretation : Thus, we can see from the above diagram that

  $y\to -y$

  $x\to -x$

b

To determine

To graph : The slide of triangle PQR in the direction of PR so that P is at O is to be graphed

Explanation of Solution

Given information : The following information is given regarding the coordinates of the original triangle

  $P=(-5,0)$

  $Q=(-2,6)$

  $R=(7,0)$

Thus, the triangle is as follows

  

Graph : We slide the triangle PQR in the direction of PR so that P is at O. hence, we get

  

Interpretation : Thus, we can see from the above diagram that

  $x\to x+5$

c

To determine

To graph : The reflection of triangle PQR over the y axis has to be plotted with coordinates

Explanation of Solution

Given information : The following information is given regarding the coordinates of the original triangle

  $P=(-5,0)$

  $Q=(-2,6)$

  $R=(7,0)$

Thus, the triangle is as follows

  

Graph : Hence, we sketch the reflection of triangle PQR over the x axis. We thus get

  

Thus, the coordinates for the new diagram are

  $P=(5,0)$

  $Q=(2,-6)$

  $R=(-7,0)$

Interpretation : Thus, we can see from the above diagram that for reflection over the x axis,

  $x\to -x$