**Educational Website Text Transcription****Title: Understanding Congruent Triangles Through Kite Construction**Complete the Lesson Reflection above by circling your current understanding of the Learning Goal. Rob is making the kite shown in the figure.**Question a:**Can Rob conclude that $ \triangle ABD \cong \triangle ACD $? Why or why not?[Answer Field]**Question b:**Rob says that $ \overline{AB} \cong \overline{AC} $ and $ \overline{BD} \cong \overline{CD} $. Do you agree? Explain.[Answer Field]**Diagram Explanation:**The diagram at the bottom right shows a kite shape, which consists of two triangles: $ \triangle ABD $ and $ \triangle ACD $. The sides of triangles are labeled as follows:- $ AB $ and $ AC $ share a vertex at $ A $.- $ BD $ and $ CD $ intersect at vertex $ D $.The figure suggests the potential congruence of triangles based on their common sides or angles, which are critical in determining triangle congruence.

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Description: **Educational Website Text Transcription****Title: Understanding Congruent Triangles Through Kite Construction**Complete the Lesson Reflection above by circling your current understanding of the Learning Goal. Rob is making the kite shown in the fig

Given To show ∆ABD≅∆ACDAB¯≅AC¯BD¯≅CD¯

Answered: Rob is making the kite shown in the…

Math

Geometry

Rob is making the kite shown in the figure. a. Can Rob conclude that AABD = AACD? Why or why not? b. Rob says that AB AC and BD = CD. Do you agree? Explain.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.4: Basic Constructions Justified

Problem 37E: Draw an obtuse triangle and construct the three perpendicular bisectors of its sides. Do the...

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**Educational Website Text Transcription**

**Title: Understanding Congruent Triangles Through Kite Construction**

Complete the Lesson Reflection above by circling your current understanding of the Learning Goal. Rob is making the kite shown in the figure.

**Question a:**
Can Rob conclude that $ \triangle ABD \cong \triangle ACD $? Why or why not?

[Answer Field]

**Question b:**
Rob says that $ \overline{AB} \cong \overline{AC} $ and $ \overline{BD} \cong \overline{CD} $. Do you agree? Explain.

[Answer Field]

**Diagram Explanation:**
The diagram at the bottom right shows a kite shape, which consists of two triangles: $ \triangle ABD $ and $ \triangle ACD $. The sides of triangles are labeled as follows:
- $ AB $ and $ AC $ share a vertex at $ A $.
- $ BD $ and $ CD $ intersect at vertex $ D $.

The figure suggests the potential congruence of triangles based on their common sides or angles, which are critical in determining triangle congruence.

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