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
Related questions
Question
![**Geometry Standards Review**
**Question 4 of 20**
**Which of the following relates the sides of the triangles shown? Select all that apply.**
[Image of three triangles with given angles and labeled sides]
1. **First Triangle:**
- Angle: 75 degrees
- Hypotenuse labeled as side **a**
- The side opposite 75 degrees is not labeled.
2. **Second Triangle:**
- Right Angle (90 degrees)
- Side opposite the right angle labeled as **b**
- Both the adjacent sides of the right angle have tick marks indicating they are of equal length.
3. **Third Triangle:**
- Angle: 105 degrees
- Side opposite 105 degrees labeled as **c**
- The other sides of the triangle have no labels.
**Answer Choices:**
- A. \( b > a \)
- B. \( c > a \)
- C. \( b < c \)
- D. \( a < b < c \)
You should review the relationships between the angles and the lengths of the sides in these triangles to determine the correct inequalities.
**Review Progress Button** – To monitor your progress in the questionnaire.
(Note: The images help illustrate the triangles and their respective angles and sides, crucial for understanding the comparison of side lengths based on angle measures.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57eb13cd-6eb9-4aba-8117-54114638868c%2F7250f43e-3274-413a-a988-bfc1948072c6%2Fuckgnjr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Geometry Standards Review**
**Question 4 of 20**
**Which of the following relates the sides of the triangles shown? Select all that apply.**
[Image of three triangles with given angles and labeled sides]
1. **First Triangle:**
- Angle: 75 degrees
- Hypotenuse labeled as side **a**
- The side opposite 75 degrees is not labeled.
2. **Second Triangle:**
- Right Angle (90 degrees)
- Side opposite the right angle labeled as **b**
- Both the adjacent sides of the right angle have tick marks indicating they are of equal length.
3. **Third Triangle:**
- Angle: 105 degrees
- Side opposite 105 degrees labeled as **c**
- The other sides of the triangle have no labels.
**Answer Choices:**
- A. \( b > a \)
- B. \( c > a \)
- C. \( b < c \)
- D. \( a < b < c \)
You should review the relationships between the angles and the lengths of the sides in these triangles to determine the correct inequalities.
**Review Progress Button** – To monitor your progress in the questionnaire.
(Note: The images help illustrate the triangles and their respective angles and sides, crucial for understanding the comparison of side lengths based on angle measures.)
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