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16 votes
16 votes
A figure is fully contained in quadrant III. The figure is transformed as shown.

a reflection over the x-axis
a reflection over the line y=x
a 90 degree clockwise rotation around the origin
In which quadrant does the resulting image lie?

Question 3 options:

Quadrant I
Quadrant II
Quadrant III
Quadrant IV

User HoboBen
by
3.0k points

2 Answers

24 votes
24 votes

Answer:

IV i think

Explanation:

User Manish Trivedi
by
3.0k points
19 votes
19 votes

Explanation:

at the beginning it is in quadrant III.

that means in the bottom left quadrant (where all x and all y are negative).

the reflection over the x-axis brings it up into quadrant II (upper left quadrant).

the line y = x is the line that goes like a 45° diagonal from the bottom left to the top right.

when reflecting our figure over this line, it brings it from quadrant II into quadrant IV (the bottom right quadrant).

and now, a 90° clockwise rotation moves it by one quadrant in clockwise direction. that brings it back into quadrant III.

User Homero
by
2.5k points
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