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Paul [167]
3 years ago
7

Given triangle STU equal to KLM complete each of the following statements TU= KM= LK=

Mathematics
2 answers:
SVEN [57.7K]3 years ago
6 0

Answer:

TU = LM

KM = SU

LK = TS

Step-by-step explanation:

It is given that ΔSTU ≅ ΔKLM

Since, the corresponding parts of congruence triangle are equal,

The corresponding sides TU of ΔSTU and LM of ΔKLM are equal.

The corresponding sides KM of ΔKLM and SU of ΔSTU are equal.

The corresponding sides LK of ΔKLM and TS of ΔSTU are equal.

Hence,

TU = LM

KM = SU and

LK = TS

wlad13 [49]3 years ago
3 0

Answer:

Notice that \triangle STU \cong \triangle KLM, by given,

From this congruence, we deduct several congruences between corresponding elements.

TU \cong LM

KM \cong SU

LK \cong TS

\angle M \cong U

\angle T \cong \angle L\\\angle UST \cong \angle MKL

\triangle UST \cong \triangle MKL

\triangle TUS \cong \triangle LMK

Notice that elements correspond each other according to the given congruence between triangles.

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For this question, we can apply the Pythagorean theorem a^2 + b^2 = c^2.

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