We've explored reflections, rotations, and translations. Now we're going to go a bit more basic and work only with reflections.[br][br]You will be exploring what happens to a figure when reflected over two parallel lines.[br][br][color=#ff00ff][b]REMEMBER[/b][/color]: Mistakes are a good thing. No one, and I mean no one, gets every construction right on the first try. This isn't brain surgery. Nothing will crash if you make a mistake. And starting over is sometimes the best way to go. So there's the do over symbol in the upper right hand corner.
1. Measure the distance [i]DE[/i].[br]2. Measure the distance from point [i]D[/i] to any part of line[i] f [/i]that's not a point. You might have to use the Move tool to move the two measurements off of one another.[br]3. Using the [b]Reflect about Line[/b] tool, reflect [math]\Delta[/math][i]ABC[/i] over line[i] f[/i].[br]4. Using the [b]Reflect about Line[/b] tool, reflect [math]\Delta[/math][i]A'B'C'[/i] over line [i]g[/i].
1. Why are the two distances, [i]DE[/i] and [i]Df[/i], the same? (And if they're not the same, you have done something incorrect. Go back and try again. Remember, nothing has exploded. Not even your grade.) Hint: What distance are we measuring from a point to a line?
2. Measure the distance from A to A''. Record the distance between the lines (either [i]DE[/i] or [i]Df[/i]) and AA'' in the box below and call it 'Trial 1." [br][br]Then move any or all of the following objects: the pink dots on line [i]f[/i], point [i]D[/i], or [math]\Delta[/math][i]ABC[/i]. Record the distance between the lines and AA'' and label it Trial 2 in the box below.[br][br]Repeat the previous step three more times, labelling new steps as Trials 3 through 5 respectively.[br][br]Your data should look something like this:[br] Trial 1 ### ###[br] Trial 2 ### ###[br][br]and so on.
Compare the two distances recorded in the five trials above. State a conjecture about the two distances. Here's a start...[br][br]If a figure is reflected over two parallel lines, then...
Press the Turn In button ONCE and then wait patiently for a few moments. If nothing seems to happen, or if you do not have a Turn In button, call for me.