Which of the following statements could be determined to be TRUE? O A. LA D B. ZB C O C. CE = BE D. AC = BD

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Struggling on this homework question. Is it C?
**Given:** E is the midpoint of \( \overline{CD} \) and \( \angle C \cong \angle D \).

### Diagram
The diagram shows two triangles, \(\triangle AEC\) and \(\triangle BED\), sharing a segment \(\overline{AE}\) and \(\overline{BE}\), with point E being the midpoint of \(\overline{CD}\).

### Question
Which of the following statements could be determined to be TRUE?

- **A.** \( \angle A \cong \angle D \)
- **B.** \( \angle B \cong \angle C \)
- **C.** \( \overline{CE} \cong \overline{BE} \)
- **D.** \( \overline{AC} \cong \overline{BD} \)
Transcribed Image Text:**Given:** E is the midpoint of \( \overline{CD} \) and \( \angle C \cong \angle D \). ### Diagram The diagram shows two triangles, \(\triangle AEC\) and \(\triangle BED\), sharing a segment \(\overline{AE}\) and \(\overline{BE}\), with point E being the midpoint of \(\overline{CD}\). ### Question Which of the following statements could be determined to be TRUE? - **A.** \( \angle A \cong \angle D \) - **B.** \( \angle B \cong \angle C \) - **C.** \( \overline{CE} \cong \overline{BE} \) - **D.** \( \overline{AC} \cong \overline{BD} \)
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