8. Given: \( C \) is the midpoint of \( \overline{A E} \) \[ \angle E \cong \angle A \] Prove: \( \triangle A B C \cong \triangle E D C \) \begin{tabular}{|c|} \hline\( C \) is midpoint of \( \overline{A E} \) \\ \hline\( ? \) \\ \hline\( ? \) \\ \hline\( ? \) \\ \hline\( ? \) \\ \hline \end{tabular}
Added by Dylan C.
Close
Step 1
This is because the definition of a midpoint is the point that divides a segment into two congruent segments. Show more…
Show all steps
Your feedback will help us improve your experience
Manisha Sarker and 91 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Point $C$ is the midpoint of $\overline{A B}$ and $B$ is the midpoint of $\overline{C D} .$ Prove that $\overline{A C} \cong \overline{B D}$.
Reasoning and Proof
Postulates and Paragraph Proofs
Write a coordinate proof. Given: $\angle B$ is a right angle in isosceles right $\triangle A B C$. $X$ is the midpoint of $\overline{A C} . \overline{B A} \cong \overline{B C}$ Prove: $\triangle A X B \cong \triangle C X B$
Triangle Congruence
Isosceles and Equilateral Triangles
Draw a diagram and then write a proof. Given: $\overline{B D} \perp \overline{A C} D$ is the midpoint of $\overline{A C} . \overline{A B} \cong \overline{C B},$ and $\overline{B D}$ bisects $\angle A B C$ Prove: $\triangle A B D \cong \triangle C B D$
Congruent Triangles
Recommended Textbooks
Geometry A Common Core Curriculum
Geometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD