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ABDC is an isosceles trapezoid. Given only the choices below, which properties would you use to prove ACD ≅ BDC by SSS?

The legs are congruent.
The base angles are congruent.
The bases are | |.
The diagonals are congruent.

(They all can be selected)

ABDC is an isosceles trapezoid Given only the choices below which properties would you use to prove ACD BDC by SSS The legs are congruent The base angles are co class=

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I think the correct answer would be the first option. To prove that ACD ≅ BDC by virtue of the SSS or side-side-side postulate, it should be that the answer is related with the sides of the trapezoid and the best option would be that the  legs are congruent.
JeanaShupp

Answer: The legs are congruent.

The diagonals are congruent.


Step-by-step explanation:

Given: ABDC is an isosceles trapezoid.

And we know that in isosceles trapezoid.

The legs and the diagonals are congruent.  [property of isosceles trapezoid]

Thus, in [tex]\triangle{ACD}[/tex] and [tex]\triangle{BDC}[/tex]

[tex]\overline{CD}=\overline{CD}....[\text{reflexive property}][/tex]

[tex]\overline{AC}=\overline{BD}..........[\text{ legs are congruent in isosceles trapezoid}][/tex]

[tex]\overline{AD}=\overline{BC}..........[\text{ diagonals are congruent in isosceles trapezoid}][/tex]

[tex]\Rightarrow\triangle{ACD}=\triangle{BDC}........[\text{SSS congruence postulate}][/tex]


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