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Chapter 14: Q35. (page 582)

In each exercise Rk:A→A'. Find an equation of line k.

Short Answer

Expert verified

The equation is obtained as,

y=-x+c

Step by step solution

01

Step 1. Given Information.

The given points are 5,1and1,5.

02

Step 2. Concept Used.

y=mx+cwherem=y2−y1x2−x1

03

Step 3. Calculation.

The line of the given points can be obtained as,

m=y2−y1x2−x1m=5−11−5m=−1y=−1⋅x+cy=−x+cwherecisconstant

04

Step 4. Conclusion.

Therefore, the equation is obtained as,

y=−x+c

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Most popular questions from this chapter

Fold a piece of paper. Cut a design connecting the top and bottom point of the fold, as shown. Unfold the shape. Consider a mapping M of the points in the gray region to the corresponding points in the red region.

  1. Does M appear to be an isometry?
  2. If a point P is on line k, what is the image of P?
  3. If a point Q is not on line k, and MQ=Q', what is the relationship between the line k and QQ'→?

Under a reflection, is an angle mapped to a congruent angle? Is a polygon always mapped to a polygon with the same area? Explain.

Copy each figure on graph paper. Then draw the image by reflection in line k.

Ois a point equidistant from parallel lines l1 and l2. A mapping M maps each point P of l1 to the point P' where PO→intersects l2.

  1. Is the mapping a one-to-one mapping of l1 and l2?
  2. Does this mapping preserve or distort distance?
  3. If l1 and l2 were not parallel, would the mapping preserve distance? Illustrate your answer with a sketch.

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 A.
See all solutions

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