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
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**Geometry Question**
*Points P and Q lie on the circle centered at R, forming △PQR. This triangle must be __.*
- Acute
- Right
- Isosceles
- Equilateral
[Answer choice options as bullet points]
---
**Explanation:**
In this type of geometry problem, we are considering the properties of points on a circle and the triangles they can form with the center of the circle. This example in particular is testing knowledge of triangle classifications, which can depend on side lengths, angles, or both.
Feel free to select one of the answer choices provided above.
**Additional Information:**
- **Acute Triangle:** All interior angles are less than 90 degrees.
- **Right Triangle:** One of the interior angles is exactly 90 degrees.
- **Isosceles Triangle:** At least two sides are of equal length.
- **Equilateral Triangle:** All three sides are of equal length, making all interior angles 60 degrees.
Understanding these definitions will help you determine the correct classification of △PQR based on the provided conditions.
---
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Transcribed Image Text:---
**Geometry Question**
*Points P and Q lie on the circle centered at R, forming △PQR. This triangle must be __.*
- Acute
- Right
- Isosceles
- Equilateral
[Answer choice options as bullet points]
---
**Explanation:**
In this type of geometry problem, we are considering the properties of points on a circle and the triangles they can form with the center of the circle. This example in particular is testing knowledge of triangle classifications, which can depend on side lengths, angles, or both.
Feel free to select one of the answer choices provided above.
**Additional Information:**
- **Acute Triangle:** All interior angles are less than 90 degrees.
- **Right Triangle:** One of the interior angles is exactly 90 degrees.
- **Isosceles Triangle:** At least two sides are of equal length.
- **Equilateral Triangle:** All three sides are of equal length, making all interior angles 60 degrees.
Understanding these definitions will help you determine the correct classification of △PQR based on the provided conditions.
---
No graphs or diagrams were provided in this image.
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