Thank you for visiting Shape ABCD is a rectangle Side AE and Side CE have equal measures while Sides BE and DE also have equal measures Use a two. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Triangle AEB is congruent to Triangle CED.
Proof:
Statement: Shape ABCD is a rectangle.
Reason: Given.
Statement: AE = CE.
Reason: Given.
Statement: BE = DE.
Reason: Given.
Statement: Angle AEB = Angle CED.
Reason: Vertical angles are congruent.
Statement: Side-Angle-Side (SAS) congruence criterion.
Reason: AE = CE (Given), BE = DE (Given), Angle AEB = Angle CED.
Statement: Triangle AEB = Triangle CED.
Reason: SAS congruence criterion (from the previous statement) by congruence definition.
Therefore, Triangle AEB is congruent to Triangle CED.
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