Classify each of the following triangles based on their sides and angles. Any congruent sides or angles are marked with red congruent symbols. :: Acute Isosceles :: Obtuse Isosceles :: Right Scalene :: Acute Scalene DIK :: Right Isosceles :: Obtuse Scalene
Classify each of the following triangles based on their sides and angles. Any congruent sides or angles are marked with red congruent symbols. :: Acute Isosceles :: Obtuse Isosceles :: Right Scalene :: Acute Scalene DIK :: Right Isosceles :: Obtuse Scalene
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
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![# Classifying Triangles by Sides and Angles
### Instructions:
Classify each of the following triangles based on their sides and angles. Any congruent sides or angles are marked with red congruent symbols.
### Triangles Diagrams
1. **Top Row:**
- **Diagram 1 (left)**: Triangle with no congruent sides marked.
- **Diagram 2 (middle)**: Isosceles triangle, indicated by two congruent sides marked with red symbols.
- **Diagram 3 (right)**: Triangle with no congruent sides marked.
2. **Bottom Row:**
- **Diagram 4 (left)**: Right triangle, identified by a right angle marked in red.
- **Diagram 5 (middle)**: Triangle with one angle larger than 90 degrees, marked in red.
- **Diagram 6 (right)**: Isosceles triangle with congruent sides and angles marked in red.
### Classify the Triangles:
Below each triangle, there is a space to classify it using the provided options:
- Acute Isosceles
- Right Scalene
- Obtuse Isosceles
- Acute Scalene
- Right Isosceles
- Obtuse Scalene
#### Detailed Classification:
1. **Diagram 1 (top-left)**: Likely Acute Scalene or Obtuse Scalene as it has no congruent sides or right angles.
2. **Diagram 2 (top-middle)**: **Isosceles**, more likely **Acute Isosceles** if all angles are less than 90 degrees.
3. **Diagram 3 (top-right)**: Similar to Diagram 1, categorize as **Scalene**.
4. **Diagram 4 (bottom-left)**: **Right Scalene** due to the presence of a right angle and no congruent sides.
5. **Diagram 5 (bottom-middle)**: **Obtuse Scalene**, apparent from the obtuse angle marked.
6. **Diagram 6 (bottom-right)**: **Isosceles**, more likely **Acute Isosceles** if all angles are less than 90 degrees.
### Classification Options:
Click or mark the appropriate classification box under each triangle:
- **Acute Isosceles**
- **Right Scalene**
- **Obtuse Isosceles**
- **Acute Scalene**
- **Right Isoscel](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0449a0b2-b573-4c37-a73f-7ccfb17fc319%2Fa2408cf0-c3b3-49b3-94cd-6c677a9e105c%2Fc2tu3q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Classifying Triangles by Sides and Angles
### Instructions:
Classify each of the following triangles based on their sides and angles. Any congruent sides or angles are marked with red congruent symbols.
### Triangles Diagrams
1. **Top Row:**
- **Diagram 1 (left)**: Triangle with no congruent sides marked.
- **Diagram 2 (middle)**: Isosceles triangle, indicated by two congruent sides marked with red symbols.
- **Diagram 3 (right)**: Triangle with no congruent sides marked.
2. **Bottom Row:**
- **Diagram 4 (left)**: Right triangle, identified by a right angle marked in red.
- **Diagram 5 (middle)**: Triangle with one angle larger than 90 degrees, marked in red.
- **Diagram 6 (right)**: Isosceles triangle with congruent sides and angles marked in red.
### Classify the Triangles:
Below each triangle, there is a space to classify it using the provided options:
- Acute Isosceles
- Right Scalene
- Obtuse Isosceles
- Acute Scalene
- Right Isosceles
- Obtuse Scalene
#### Detailed Classification:
1. **Diagram 1 (top-left)**: Likely Acute Scalene or Obtuse Scalene as it has no congruent sides or right angles.
2. **Diagram 2 (top-middle)**: **Isosceles**, more likely **Acute Isosceles** if all angles are less than 90 degrees.
3. **Diagram 3 (top-right)**: Similar to Diagram 1, categorize as **Scalene**.
4. **Diagram 4 (bottom-left)**: **Right Scalene** due to the presence of a right angle and no congruent sides.
5. **Diagram 5 (bottom-middle)**: **Obtuse Scalene**, apparent from the obtuse angle marked.
6. **Diagram 6 (bottom-right)**: **Isosceles**, more likely **Acute Isosceles** if all angles are less than 90 degrees.
### Classification Options:
Click or mark the appropriate classification box under each triangle:
- **Acute Isosceles**
- **Right Scalene**
- **Obtuse Isosceles**
- **Acute Scalene**
- **Right Isoscel
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