Write a congruence statement for the pair of triangles.
Write a congruence statement for the pair of triangles.
The answer is: [C]: "ΔZYB ≅ ΔOWR by SSS" .
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Answer:
Option C is correct.
\(\triangle ZYB \cong \triangle OWR\) by SSS.
Step-by-step explanation:
SSS(Side-Side-Side) theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
From the given figure:
In triangle ZYB,
ZY = 3 ft, YB = 5.5 ft and BZ = 5 ft.
In triangle OWR,
OW = 3 ft, WR = 5.5 ft and RO = 5 ft.
In ΔZYB and ΔOWR
\(BZ \cong RO\) [Side]
\(ZY \cong OW\) [Side]
\(YB \cong WR\) [Side]
Then, by SSS theorem we have;
\(\triangle ZYB \cong \triangle OWR\)