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.
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.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.1: Triangles
Problem 1C
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ed59b23-5d18-4fbe-9870-93a71d844bd7%2Fccf9d081-bef3-4af6-8e59-bcdd89f04969%2Floml8bc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**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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