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Explain how you would prove AB DE. Notes and Pi CRM 2.1 - Les: A. Given: AC = DC, ZB = LE В. Given: AE bisects BD, DB bisects AE B C. Given: AB || DE, AC = EC D

Explain how you would prove AB DE. Notes and Pi CRM 2.1 - Les: A. Given: AC = DC, ZB = LE В. Given: AE bisects BD, DB bisects AE B C. Given: AB || DE, AC = EC D

Elementary Geometry For College Students, 7e
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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**Mark the figure to show the given information. Explain how you would prove \( \overline{AB} \cong \overline{DE} \).** *From Pearson Common Core - Section 4-4* --- **Notes and Practice** CRM 2.1 - Lesson 13 **A.** **Given:** \( \overline{AC} \cong \overline{DC} \), \( \angle B \equiv \angle E \) - The figure shows two intersecting lines creating two triangles: \( \triangle ABC \) and \( \triangle DEC \). - Both lines \( AC \) and \( DC \) are marked as congruent. - Angles \( B \) and \( E \) are marked as congruent. **B.** **Given:** \( \overline{AE} \) bisects \( \overline{BD} \), \( \overline{DB} \) bisects \( \overline{AE} \) - The figure shows two intersecting lines forming an X shape where \( \triangle ABD \) and \( \triangle CDE \) are visible. - \( \overline{AE} \) and \( \overline{DB} \) are marked as bisecting each other. **C.** **Given:** \( \overline{AB} \parallel \overline{DE} \), \( \overline{AC} = \overline{EC} \) - The figure depicts two parallel lines \( \overline{AB} \) and \( \overline{DE} \), with a transversal line intersecting them and creating triangles \( \triangle ABC \) and \( \triangle DEC \). - Line segments \( \overline{AC} \) and \( \overline{EC} \) are marked as equal. ---
Transcribed Image Text:**Mark the figure to show the given information. Explain how you would prove \( \overline{AB} \cong \overline{DE} \).** *From Pearson Common Core - Section 4-4* --- **Notes and Practice** CRM 2.1 - Lesson 13 **A.** **Given:** \( \overline{AC} \cong \overline{DC} \), \( \angle B \equiv \angle E \) - The figure shows two intersecting lines creating two triangles: \( \triangle ABC \) and \( \triangle DEC \). - Both lines \( AC \) and \( DC \) are marked as congruent. - Angles \( B \) and \( E \) are marked as congruent. **B.** **Given:** \( \overline{AE} \) bisects \( \overline{BD} \), \( \overline{DB} \) bisects \( \overline{AE} \) - The figure shows two intersecting lines forming an X shape where \( \triangle ABD \) and \( \triangle CDE \) are visible. - \( \overline{AE} \) and \( \overline{DB} \) are marked as bisecting each other. **C.** **Given:** \( \overline{AB} \parallel \overline{DE} \), \( \overline{AC} = \overline{EC} \) - The figure depicts two parallel lines \( \overline{AB} \) and \( \overline{DE} \), with a transversal line intersecting them and creating triangles \( \triangle ABC \) and \( \triangle DEC \). - Line segments \( \overline{AC} \) and \( \overline{EC} \) are marked as equal. ---
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