shannonkespinosa shannonkespinosa
  • 22-07-2022
  • Mathematics
contestada

PLEASE HELP!!!!
Determine if the conclusion is valid. Give a thorough explanation of your answer.
D
B
Given: AB || DC, AD || BC, AB BC
Conclusion: ABCD is a rhombus.

PLEASE HELP Determine if the conclusion is valid Give a thorough explanation of your answer D B Given AB DC AD BC AB BC Conclusion ABCD is a rhombus class=

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Medunno13
Medunno13 Medunno13
  • 22-07-2022

Answer: Correct

Step-by-step explanation:

The conclusion is valid. Since [tex]\overline{AB} \parallel \overline{DC}[/tex] and [tex]\overline{AD} \parallel \overline{BC}[/tex], we know that ABCD is a parallelogram because it has two pairs of parallel sides. Also, since [tex]\overline{AB} \cong \overline{BC}[/tex], we know that ABCD is a parallelogram with a pair of consecutive congruent sides, making it a rhombus.

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