X rma starts by translating ALMN to get AL'M'N', where N' = Z and M' = Y. Then she reflects L'M'N' across YZ to get AL "M"N". rma says that YX and M"L" coincide. How can rma justify this statement? Translation and reflection preserve angle measure, so mZL"N"M" : mZXZY. = Translation and reflection preserve angle measure, so mZL"M"N" mZXYZ. = Translation and reflection preserve distance, so L"M" = XY. Translation and reflection preserve distance, so M"N" = YZ.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Irma wants to prove that the side-angle-side
(SAS) criterion is sufficient to show that
ALMNAXYZ.
L
N
Z
X
+
+
M
Y
Irma starts by translating ALMN to get AL'M'N',
where N' = Z and M' = Y. Then she reflects
AL'M'N' across YZ to get AL "M"N".
Irma says that YX and M"L" coincide. How can
Irma justify this statement?
Transcribed Image Text:Irma wants to prove that the side-angle-side (SAS) criterion is sufficient to show that ALMNAXYZ. L N Z X + + M Y Irma starts by translating ALMN to get AL'M'N', where N' = Z and M' = Y. Then she reflects AL'M'N' across YZ to get AL "M"N". Irma says that YX and M"L" coincide. How can Irma justify this statement?
X
Irma starts by translating ALMN to get AL'M'N',
where N' = Z and M' = Y. Then she reflects
AL'M'N' across YZ to get AL"M"N".
Irma says that YX' and M"L" coincide. How can
Irma justify this statement?
Translation and reflection preserve
angle measure, so mZL"N"M" =
mZXZY.
Translation and reflection preserve
angle measure, so mZL"M"N":
mZXYZ.
=
Translation and reflection preserve
distance, so L"M" = XY.
Translation and reflection preserve
distance, so M"N" = YZ.
Transcribed Image Text:X Irma starts by translating ALMN to get AL'M'N', where N' = Z and M' = Y. Then she reflects AL'M'N' across YZ to get AL"M"N". Irma says that YX' and M"L" coincide. How can Irma justify this statement? Translation and reflection preserve angle measure, so mZL"N"M" = mZXZY. Translation and reflection preserve angle measure, so mZL"M"N": mZXYZ. = Translation and reflection preserve distance, so L"M" = XY. Translation and reflection preserve distance, so M"N" = YZ.
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