Thank you for visiting Given BD and AD intersect at point C BC is congruent to BC AC is congruent to DC AB and DE are drawn Which of. 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 :
Final answer:
To prove triangle ABC is congruent to triangle DEC, we can use the Angle-Side-Angle (ASA) congruence criterion.
Explanation:
To prove triangle ABC is congruent to triangle DEC, we can use the Angle-Side-Angle (ASA) congruence criterion. According to the given information, we have the following congruent parts: CBC is congruent to DCAB, BC is congruent to AC, and DE is drawn.
1. Angle: Angle BCD is congruent to Angle ACD (by the Angle-Angle criterion).
2. Side: Segment BC is congruent to Segment AC (given).
3. Angle: Angle BAC is congruent to Angle DCE (by the Angle-Angle criterion).
Therefore, by the ASA criterion, we can conclude that triangle ABC is congruent to triangle DEC.
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