Use the diagram below to answer the question that follows. в E If AB is parallel to CD, which of the following is true? A. AC = BD EC _ CD В. BE AB C. ED = EC ED_ EC BE = AE

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
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**CSET Problems.** The California Subject Examination for Teachers (CSET) is for prospective teachers who choose to or are required to meet requirements for certification by taking subject exams. Complete problems 4 – 6 on the Mathematics Subtest II Sample Exam. Explain your reasoning and how the problems relate to specific parts of our Module 3 Embracing Parallels course notes.
Transcribed Image Text:**CSET Problems.** The California Subject Examination for Teachers (CSET) is for prospective teachers who choose to or are required to meet requirements for certification by taking subject exams. Complete problems 4 – 6 on the Mathematics Subtest II Sample Exam. Explain your reasoning and how the problems relate to specific parts of our Module 3 Embracing Parallels course notes.
**Question 6: Parallel Line Geometry**

**Diagram Guide:**
- The diagram includes a quadrilateral ABCD with a line segment AE intersecting segment BC at point E.
- Line AB is parallel to line CD.

**Question:**
If \(\overline{AB}\) is parallel to \(\overline{CD}\), which of the following is true?

**Options:**
A. \( AC = BD \)

B. \( \frac{EC}{BE} = \frac{CD}{AB} \)

C. \( ED = EC \)

D. \( \frac{ED}{BE} = \frac{EC}{AE} \)
Transcribed Image Text:**Question 6: Parallel Line Geometry** **Diagram Guide:** - The diagram includes a quadrilateral ABCD with a line segment AE intersecting segment BC at point E. - Line AB is parallel to line CD. **Question:** If \(\overline{AB}\) is parallel to \(\overline{CD}\), which of the following is true? **Options:** A. \( AC = BD \) B. \( \frac{EC}{BE} = \frac{CD}{AB} \) C. \( ED = EC \) D. \( \frac{ED}{BE} = \frac{EC}{AE} \)
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