Exercise 38 Page 211 - 1. Section 4.1 - Core Connections Integrated I, 2013

a To rotate the figure around

Z,

we have to draw segments between each of the figure's vertices and

Z .

Then, we use a protractor to measure a

9 0^{\circ}

rotation counterclockwise and draw a second segment that is congruent with the first segment.

If we repeat this procedure for all of the vertices, we can draw the rotated figure.

b To reflect the figure across line

t,

we have to draw perpendicular segments from each of the figure's vertices to the line of reflection. Let's show this procedure with one of the vertices.

By extending the segment on the opposite side of line $t$ until the second segment is congruent with the first segment, we will have found the location of $J^{'} .$

If we repeat this procedure for all five vertices, we can draw the reflected figure.

c To translate

A B C D

down

3

units and left

4

units, we have to move all of the figure's vertices by this number of units in the vertical and horizontal direction. Let's start by showing this with one of the vertices.

If we repeat this procedure for all of the vertices, we can draw the translated figure.