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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
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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# 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
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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