Move LARGE POINTS on the triangle around to see the effect of translation on Lisa’s picture. The original picture has coordinates at the base.

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**Applications of Transformations on Plane Figures.**

**Five points are plotted on the coordinate plane below.**

- Using the Pen tool or the Text tool, label each of its coordinates.
- Using the
*x*-axis as the line of reflection, plot the image of each point. - Label the image of each point with its coordinates.
- Include a label using a letter. For example, the image of point
should be labeled*A*.*A’*

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**Apply transformations to a line segment.**

Apply each of the following transformations to segment AB using the applet that follows. Use the Pen tool to record the coordinates.

- In the applet below, rotate segment
**AB**90 degrees counterclockwise around center**B**by moving the slider marked 0 degrees. The image of**B**is named**C**.

- In the applet below, rotate segment
**AB**90 degrees counterclockwise around center**A**by moving the slider marked 0 degrees. The image of**B**is named**D**.

- In the applet below, rotate segment
**AB**90 degrees counterclockwise about**(0, 0)**by moving the slider marked 0 degrees. The image of**A**is named**E**and the image of**B**is named**F**.

Compare the two 90-degree counterclockwise rotations of segment **AB**.

(1). What is the same about the images of these rotations?

(2). What is different about the images of these rotations?

(3). Suppose **EF** and** GF** are line segments of the same length. Describe a sequence of transformations that moves **EF** to **GF**.

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**More Applications of Transformation** **on Plane Figures.**

(A). Here are some points below. Translate the points to the right by 4 units and up by 1 unit. Plot these points on the grid, and label them A’, B’, and C’.

(B). Here are some points below. Reflect the points over the – axis. Plot these points on the grid, and label them D’, E’, and F’.

(C). Here are some points below. Rotate the points about **(0, 0)** by 90 degrees clockwise. Plot these points on the grid, and label them G’, H’, and I’.

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The point ** R** has coordinates

- Without graphing, predict the coordinates of the image of point
if it were reflected using the*R*–axis as the line of reflection.*x* - Check your answer by finding the image of
on the graph.*R* - Label the image of
*R**I*

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If the point (13, 10) were reflected using the – axis, as the line of reflection, what would be coordinates of the image?

What would be the coordinates of the points (13, -20), (13, 570). Explain how you know in each case.

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