Directions: If H is the circumcenter of ABCD, find éach measure 33 26 H 32 B G 58 Column A Column B 1. CD а. 46 2. HD b. 52 3. СЕ С. 33 d. 64 4. GD е. 29 5. HG f. 26 6. HE g. 15.7 h. 66 i. 8.1 j. 44 k. 32.5

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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**Directions:** If \( H \) is the circumcenter of \( \triangle BCD \), find each measure.

### Diagram Explanation:
The diagram shows a triangle \( \triangle BCD \) with a circumcenter at point \( H \). Point \( H \) is connected to vertices \( B \), \( C \), and \( D \) with corresponding lengths:

- \( HE = 26 \)
- \( HF = 32 \)
- \( HC = 33 \)

A line segment \( BD \) is divided into segments \( BG \) and \( GD \) with the total length of \( BD = 58 \).

### Matching Exercise:
Match each item in Column A with its corresponding measure in Column B.

#### Column A
1. \( CD \)
2. \( HD \)
3. \( CE \)
4. \( GD \)
5. \( HG \)
6. \( HF \)

#### Column B
a. 46  
b. 52  
c. 33  
d. 64  
e. 29  
f. 26  
g. 15.7  
h. 66  
i. 8.1  
j. 44  
k. 32.5  

Select the correct match for each item in Column A based on the diagram measurements and properties of the circumcenter.
Transcribed Image Text:**Directions:** If \( H \) is the circumcenter of \( \triangle BCD \), find each measure. ### Diagram Explanation: The diagram shows a triangle \( \triangle BCD \) with a circumcenter at point \( H \). Point \( H \) is connected to vertices \( B \), \( C \), and \( D \) with corresponding lengths: - \( HE = 26 \) - \( HF = 32 \) - \( HC = 33 \) A line segment \( BD \) is divided into segments \( BG \) and \( GD \) with the total length of \( BD = 58 \). ### Matching Exercise: Match each item in Column A with its corresponding measure in Column B. #### Column A 1. \( CD \) 2. \( HD \) 3. \( CE \) 4. \( GD \) 5. \( HG \) 6. \( HF \) #### Column B a. 46 b. 52 c. 33 d. 64 e. 29 f. 26 g. 15.7 h. 66 i. 8.1 j. 44 k. 32.5 Select the correct match for each item in Column A based on the diagram measurements and properties of the circumcenter.
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