State the additional parts needed to prove AABC AEDC by the SAS congruency principle. C 2. 1 4.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Question 1**

State the additional parts needed to prove \( \triangle ABC \cong \triangle EDC \) by the SAS congruency principle.

![Diagram of triangles ABC and EDC](Diagram description follows below).

- **Diagram Description**: The image contains two right-angled triangles, \( \triangle ABC \) and \( \triangle EDC \). Triangle \( ABC \) has a right angle at \( B \), and triangle \( EDC \) has a right angle at \( D \). Line segments \( BC \) and \( DC \) are marked as equal. Angles and sides are labeled as follows:
  - Angle 1: \( \angle BAC \)
  - Angle 2: \( \angle ACB \)
  - Angle 3: \( \angle DCE \)
  - Angle 4: \( \angle CED \)
  - Segment \( AB \)
  - Segment \( ED \)

- **Options**:
  a) \( \angle 1 \cong \angle 3 \)

  b) \( \angle 2 \cong \angle 3 \)

  c) \( AC \cong EC \)

  d) \( \angle 1 \cong \angle 4 \)
  
  e) \( AB \cong ED \)

  f) None of the above
Transcribed Image Text:**Question 1** State the additional parts needed to prove \( \triangle ABC \cong \triangle EDC \) by the SAS congruency principle. ![Diagram of triangles ABC and EDC](Diagram description follows below). - **Diagram Description**: The image contains two right-angled triangles, \( \triangle ABC \) and \( \triangle EDC \). Triangle \( ABC \) has a right angle at \( B \), and triangle \( EDC \) has a right angle at \( D \). Line segments \( BC \) and \( DC \) are marked as equal. Angles and sides are labeled as follows: - Angle 1: \( \angle BAC \) - Angle 2: \( \angle ACB \) - Angle 3: \( \angle DCE \) - Angle 4: \( \angle CED \) - Segment \( AB \) - Segment \( ED \) - **Options**: a) \( \angle 1 \cong \angle 3 \) b) \( \angle 2 \cong \angle 3 \) c) \( AC \cong EC \) d) \( \angle 1 \cong \angle 4 \) e) \( AB \cong ED \) f) None of the above
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