Square ABCD is shown with four congruent images such that ABCD Is congruent to FGHI Is congruent to JKLM Is congruent to NOPQ Is
congruent to RSTU.
On a coordinate plane, triangle A B C D is reflected across the x-axis to form triangle R S T U.
For which square is a reflection necessary to produce the transformed figure?
FGHI
JKLM
NOPQ
RSTU
2 answers:
Answer:
nopq
Step-by-step explanation:
the reflection y=x shows it can be congruent to abcd
JKLM and RSTU transformed figure
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<u><em>≡ Solution:</em></u>⇒
![\sqrt{[(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%5D%7D%20)
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![\sqrt{[(3-(-4))^{2}+(-1-(-5))^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%283-%28-4%29%29%5E%7B2%7D%2B%28-1-%28-5%29%29%5E%7B2%7D%5D%7D%20)
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![\sqrt{[7^{2}+4^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B7%5E%7B2%7D%2B4%5E%7B2%7D%5D%7D%20)
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![\sqrt{[49+16]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B49%2B16%5D%7D%20)
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