### Geometry Problem and Proof Diagram**Problem Statement:**5. **Given:** - $\angle 1 \equiv \angle 2$ - $AB \equiv CB$ **Show:** - $\triangle ADB \equiv \triangle CDB$**Diagram:**- The diagram is a triangle $ABC$ with a point $D$ on side $BC$, creating two smaller triangles: $\triangle ADB$ and $\triangle CDB$.**Flowchart:**1. **First Box:** - This box is presumably the starting point of the proof, containing initial givens or assumptions based on the problem statement.2. **Second Box:** - Arrows indicate a logical progression from the first box to this one. It likely contains derived equalities or congruences stemming from the initial conditions.3. **Third Box:** - Following the same logic progression, this box would further develop the proof using previously established information.4. **Fourth Box:** - Two arrows pointing towards this final box suggest it contains the culmination of the logical arguments provided in the earlier steps, ultimately showing the congruence of $\triangle ADB$ and $\triangle CDB$.**Explanation:**The problem involves proving the congruence of triangles $\triangle ADB$ and $\triangle CDB$ using the given angle and side congruences. The flowchart provides a structured method to derive this conclusion, typically using geometric congruence postulates such as ASA (Angle-Side-Angle) or SAS (Side-Angle-Side).

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Answered: 5 Given: 1 = 2 AB = CB Show: AADB =…

Math

Geometry

5 Given: 1 = 2 AB = CB Show: AADB = ACDB 2

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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### Geometry Problem and Proof Diagram

**Problem Statement:**
5. **Given:**
- $\angle 1 \equiv \angle 2$
- $AB \equiv CB$

**Show:**
- $\triangle ADB \equiv \triangle CDB$

**Diagram:**

- The diagram is a triangle $ABC$ with a point $D$ on side $BC$, creating two smaller triangles: $\triangle ADB$ and $\triangle CDB$.

**Flowchart:**

1. **First Box:**
- This box is presumably the starting point of the proof, containing initial givens or assumptions based on the problem statement.

2. **Second Box:**
- Arrows indicate a logical progression from the first box to this one. It likely contains derived equalities or congruences stemming from the initial conditions.

3. **Third Box:**
- Following the same logic progression, this box would further develop the proof using previously established information.

4. **Fourth Box:**
- Two arrows pointing towards this final box suggest it contains the culmination of the logical arguments provided in the earlier steps, ultimately showing the congruence of $\triangle ADB$ and $\triangle CDB$.

**Explanation:**

The problem involves proving the congruence of triangles $\triangle ADB$ and $\triangle CDB$ using the given angle and side congruences. The flowchart provides a structured method to derive this conclusion, typically using geometric congruence postulates such as ASA (Angle-Side-Angle) or SAS (Side-Angle-Side).

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