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Chapter 14: Q21. (page 580)

Draw a line t and a point A not on t. Then use a straightedge and compass to construct the image of A under Rt.

Short Answer

Expert verified

The construction of reflected image of A on line t is figured below.

Step by step solution

01

Step 1. Given Information.

The given statement is that how to score a hole in one on the fifth hole of the golf course.

02

Step 2. Explanation.

The construction of reflected image of A on line t is figured below.

First draw a straight line t and take any point A on the either side of line t(must not be on line t). take a point X on the line t and draw an arc of radius AX which intersects point A. again take a point Y on line t and draw an arc of radius AY which intersects A. on the opposite side of A two arc will intersect each other and the point of intersection you got will be the image of point A under Rt.

03

Step 3. Conclusion.

Hence, the construction of reflected image of A on line t is figured below.

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Most popular questions from this chapter

A piece of paper is wrapped around a globe of the Earth to form a cylinder as shown. O is the center of the Earth and a point P of the globe is projected along OP→to a point P'of the cylinder.

Describe the image of the globe’s equator.

Explain why each of the correspondences pictured below is not a one-to-one mapping from set A to set B.

The red and blue squares are congruent and have the same center O. A mapping maps each point P of the red squares to the point P' where OP→ intersects the blue squares.

  1. Is the mapping a one-to-one?
  2. Copy the diagram and locate a point X that is its own image.
  3. Locate two points R and S on the red squares and their images R' and S' on the blue squares that have the property that RS≠R'S'.
  4. Does the mapping preserve distance?
  5. Describe a mapping from the red square onto the blue square that does preserve distance.

A piece of paper is wrapped around a globe of the Earth to form a cylinder as shown. O is the center of the Earth and a point P of the globe is projected along OP→ to a point P' of the cylinder.

Does the North Pole (pointN) have an image?

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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