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Chapter 14: Q3. (page 579)

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

RkB=?¯

Short Answer

Expert verified

RkB=C

Step by step solution

01

Step 1. Given Information.

The given statement is that D, C, U, W, X, and Y are obtained by reflection in line k or j.

02

Step 2. Explanation.

Since in the figure it is clear that neither B nor C is on the line k and the line k is perpendicular bisector of the line joining B and C that is BC.

03

Step 3. Conclusion.

Therefore,C is reflected in line k to C.

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Most popular questions from this chapter

▵XYZis isosceles with XY¯≅XZ¯. Describe a way of mapping each point of XY¯ to a point of XZ¯ so that the mapping is an isometry.

Write the coordinates of the image of each point by reflection in,

  1. The x-axis
  2. The y-axis
  3. The line y=x (Hint: Refer to the Example on page 578)

Point E.

Write the coordinates of the image of each point by reflection in,

  1. The x-axis
  2. The y-axis
  3. The line y=x (Hint: Refer to the Example on page 578)

Point O.

In the two-wall shot illustrated at the right, a reflection in one wall maps H to , and a reflection in a second wall (extended) maps H' to H''. To roll the ball from B to H, you aim for H''. Show that the total distance travelled by the ball equals the distance BH''.

Prove that the point D which is as far behind the mirror as the object A is in front of the mirror lies on BC↔. (Hint: Show that ∠CBE and ∠EBD are supplementary.)
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