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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 14: Q11. (page 580)

Write the coordinates of the image of each point by reflection in,
The $x - a x i s$
The $y - a x i s$
The line $y = x$ (Hint: Refer to the Example on page 578)
Point E.

Short Answer

Expert verified

$R_{x - a x i s} : E = (- 3, - 2) \to (- 3, 2)$
$R_{y - a x i s} : E = (- 3, - 2) \to (3, - 2)$
$R_{y = x} : E = (- 3, - 2) \to (- 2, - 3)$

Step by step solution

01

a.Step 1. Given Information.

Coordinate of point E is $(- 3, - 2)$

02

Step 2. Explanation.

Image of E $(- 3, - 2)$ in the x-axis is

(- 3, 2)

03

Step 3. Conclusion.

So, the image of D in the $x - axis$ is $R_{x - a x i s} : E = (- 3, - 2) \to (- 3, 2)$

04

b.Step 1. Given Information.

Coordinate of point E is $(- 3, - 2)$

05

Step 2. Calculation.

Image of $(- 3, - 2)$ in the y-axis is $(3, - 2)$

06

Step 3. Conclusion.

SO, $R_{y - a x i s} : E = (- 3, - 2) \to (3, - 2)$ .

07

c.Step 1. Given Information.

Coordinate of point E is $(- 3, - 2)$

08

Step 2. Calculation.

Image of $(- 3, - 2)$ in the line $x = y$ is $(- 2, - 3)$

09

Step 3. Conclusion.

Therefore, $R_{y = x} : E = (- 3, - 2) \to (- 2, - 3)$ .

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Most popular questions from this chapter

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

The $x - a x i s$
The $y - a x i s$
The line $y = x$ (Hint: Refer to the Example on page 578)

Point C.

Ois a point equidistant from parallel lines $l_{1}$ and $l_{2}$ . A mapping M maps each point P of $l_{1}$ to the point $P'$ where $\vec{P O}$ intersects $l_{2}$ .

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

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

$R_{j} (\underline{?}) = \vec{X Y}$

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

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

$R_{k} : A \to$ $\underline{?}$ .

See all solutions

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