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Transformation - Reflection Over x-axis

by Kevin
(New York)











































2. Triangle ABC has vertices A(2,6), B(8,-6) and C(-4,0), as shown. The triangle will be reflected in the x-axis.

a) What is the y-coordinate of the image of point A?

b) What is the y-coordinate of the image of point B?

c) Which numbered choice is the point that remains fixed after the reflection?
1) A 2) B 3) C 4) none are fixed

Comments for Transformation - Reflection Over x-axis

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Mar 27, 2012
Transformation - Reflection Over x-axis
by: Staff


Question:

by Kevin
(New York)


2. Triangle ABC has vertices A(2,6), B(8,-6) and C(-4,0), as shown. The triangle will be reflected in the x-axis.

a) What is the y-coordinate of the image of point A?

b) What is the y-coordinate of the image of point B?

c) Which numbered choice is the point that remains fixed after the reflection?

1) A 2) B 3) C 4) none are fixed



Answer:

A reflection across the x-axis means:

a. that the x values do not change
b. the y values are all multiplied by -1

These are your original coordinates:

(2,6) (8,-6) (-4,0)

These are the coordinates reflected across the x-axis:

(2,-6) (8,6) (-4,0)


Open the following link to see a graph of the original triangle (ABC) and its reflection across the x-axis (A’B’C’).


(1) If your browser is Firefox, click the following link to VIEW the solution; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page

http://www.solving-math-problems.com/images/triangle-reflection-over-x-axis-2012-03-27-01.png


a) What is the y-coordinate of the image of point A?

-6


b) What is the y-coordinate of the image of point B?

6


c) Which numbered choice is the point that remains fixed after the reflection?
1) A 2) B 3) C 4) none are fixed

3) C



Thanks for writing.

Staff
www.solving-math-problems.com



Sep 24, 2020
Mathematics
by: Desiree'

A Triangle with vertices (-1,1) (1,-3) and (2,1) is reflected over the x-axis. What are the coordinates of the image?


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