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Chapter 14: Q16. (page 579)

Sketch each figure on the chalkboard. With a different color, sketch its image, using the dashed line as the line of reflection.

Short Answer

Expert verified

The reflected figure is,

Step by step solution

01

Step 1. Given Information.

The given figure is,

Here the dotted line is the line of reflection.

02

Step 2. Explanation.

As it is known that “A reflection in a line is isometry”, the image will be inverted and the end of line which is away from line of reflection will be closer to the line of reflection and vice-versa.

03

Step 3. Conclusion.

Hence, the reflected figure is

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Most popular questions from this chapter

Complete the following. Assume points D, C, U, W, X, and Y are obtained by reflection in link k or j.

RkC=?¯

If a transformation maps two parallel lines to two image lines that are also parallel, we say that parallelism is invariant under the transformation. Is parallelism invariant under a reflection?

For each transformation given:

  1. Plot the three points A0,4, B4,6, and C2,0, and their images A', B', and C' under the transformation.
  2. State whether the transformation appears to be an isometry.
  3. Find the pre image of 12,6.

M:x,y→12-x,y

Complete the following. Assume points D, C, U, W, X, and Y are obtained by reflection in link k or j.

Rk:A→?¯.

ABCDis a trapezoid. Describe a way of mapping each point of DC¯ to a point of AB¯ so that the mapping is one-to-one. Is your mapping an isometry?
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