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The application ^Part FOpen the line segment reflection application. Line segment AB is a reflection of line segment CD across the x-axis. Click the reflect over x-axis button. Are line segments AB and CD the same? What does this mean about how a line segment changes when you reflect it?Part GUsing the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally, translate it down 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?

The Application Part FOpen The Line Segment Reflection Application Line Segment AB Is A Reflection Of Line Segment CD Across The Xaxis Click The Reflect Over Xa class=

Sagot :

PArt F.

The coordinates of Line segment CD are:

C(2, 2) and D(5, 3)

After reflection across the x-axis, the coordinates are:

A(2, -2), and B(5, -3)

We can see that segments AB and CD do not have the same coordinates, therefore they are not the same.

When you reflect a line segment over the x-axis, the x-coordinates remain the same while the y-coordinates change. Also, when a line segment is reflected over the y-axis, the x-coordinates change while the y-coordinates remain the same.

Part G.

Given the line segment:

C(2,2), and D(5, 3)

i) Reflect the line segment across the x-axis, we have:

C'(2, -2), and D'(5, -3)

ii) Rotate it 90° clockwise:

For a 90° clockwise rotaion, (x, y) changes to (y, -x)

Thus we have:

C'(2, -2) ==> C''(-2, -2)

D'(5, -3) ==> D''(-3, -5

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