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2 years ago

14

In addition to the facts in the diagram, which statement is necessary to prove that the two triangles are congruent by the SAS c

riterion?
A.
AC = DE

B.
m∠BAC = m∠FDE

C.
BC = EF

D.
m∠CAB= m∠EDF

1 answer:

nasty-shy [4]2 years ago

7 0

The best answer to go with is b

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$\text{We have:}\\\\\triangle ABC:\ AB=20,\ BC=12,\ AC=18\\\triangle XZY:\ XZ=10,\ YZ=6,\ XY=9\\\\\text{check the ratio:}\\\\\dfrac{AB}{XZ}=\dfrac{20}{10}=2\\\\\dfrac{BC}{YZ}=\dfrac{12}{6}=2\\\\\dfrac{AC}{XY}=\dfrac{18}{9}=2\\\\\text{CORRECT :)}\\\\\angle B\cong\angle Z,\ \angle C\cong\angle Y\\\\\text{We know that: The sum of the acute angles in a right triangle is}\ 90^o.\\\\m\angle B+m\angle A=90^o\ \text{and}\ m\angle Z+m\angle X=90^o$

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