**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 A1. $ CD $2. $ HD $3. $ CE $4. $ GD $5. $ HG $6. $ HF $#### Column Ba. 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.

If H is the circumcenter of △BCD as given below:

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

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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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

**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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