Determine the relationship between the two triangles and whether or not they can be proven to be congruent. Hypotenuse-Leg (HL) Angle-Side-Angle (ASA) Angle-Angle-Angle (AAA) Angle-Angle-Side (AAS) Side-Side-Side (SSS) Side-Angle-Side (SAS) Side-Side-Angle (SSA) The two triangles are related by so the triangles

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.2: Indirect Proof
Problem 23E: A periscope uses an indirect method of observation. This instrument allows one to see what would...
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## Triangle Relationship and Congruence Determination

### Task:
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

### Explanation:
The provided image shows a dropdown menu with different congruence theorems and a diagram of two triangles.

### Diagram Description:
The diagram consists of two triangles that are shown to have congruent markings. The first triangle appears to be a right triangle with two congruent sides marked by a single hash mark.

### Dropdown Menu Options:
The dropdown menu contains several options for congruence conditions:
- **Hypotenuse-Leg (HL)**
- **Angle-Side-Angle (ASA)**
- **Angle-Angle-Angle (AAA)**
- **Angle-Angle-Side (AAS)**
- **Side-Side-Side (SSS)**
- **Side-Angle-Side (SAS)**
- **Side-Side-Angle (SSA)**

### User Input Section:
A prompt is given to the user:
*The two triangles are related by*
A space is provided for the user to select the congruence condition from the dropdown menu, followed by the statement:
*so the triangles*

### Submission:
The user is prompted to "Submit Answer" by clicking a button.

### Answer Explanation:
To complete this task, analyze the given diagram and the information about the congruence theorems. Based on the given information, select the appropriate congruence condition (e.g., ASA) and state whether the triangles can be proven to be congruent.

---

**Example:** If the triangles have two angles and the included side marked as congruent, you would select "Angle-Side-Angle (ASA)" and conclude that the triangles *are* congruent.
Transcribed Image Text:## Triangle Relationship and Congruence Determination ### Task: Determine the relationship between the two triangles and whether or not they can be proven to be congruent. ### Explanation: The provided image shows a dropdown menu with different congruence theorems and a diagram of two triangles. ### Diagram Description: The diagram consists of two triangles that are shown to have congruent markings. The first triangle appears to be a right triangle with two congruent sides marked by a single hash mark. ### Dropdown Menu Options: The dropdown menu contains several options for congruence conditions: - **Hypotenuse-Leg (HL)** - **Angle-Side-Angle (ASA)** - **Angle-Angle-Angle (AAA)** - **Angle-Angle-Side (AAS)** - **Side-Side-Side (SSS)** - **Side-Angle-Side (SAS)** - **Side-Side-Angle (SSA)** ### User Input Section: A prompt is given to the user: *The two triangles are related by* A space is provided for the user to select the congruence condition from the dropdown menu, followed by the statement: *so the triangles* ### Submission: The user is prompted to "Submit Answer" by clicking a button. ### Answer Explanation: To complete this task, analyze the given diagram and the information about the congruence theorems. Based on the given information, select the appropriate congruence condition (e.g., ASA) and state whether the triangles can be proven to be congruent. --- **Example:** If the triangles have two angles and the included side marked as congruent, you would select "Angle-Side-Angle (ASA)" and conclude that the triangles *are* congruent.
**Question:**
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

**Diagram Explanation:**
The image shows two triangles with sides marked with congruent hash marks that indicate equal lengths. The left triangle has a right angle marked by a small square at the angle.

**Answer Section:**
**The two triangles are related by:**
- (Dropdown menu with options):
  - can be proven congruent
  - CANNOT be proven congruent

**Additional Notes:**
- The problem referenced is "attempt 1 out of 2 / problem 1 out of max 2."
Transcribed Image Text:**Question:** Determine the relationship between the two triangles and whether or not they can be proven to be congruent. **Diagram Explanation:** The image shows two triangles with sides marked with congruent hash marks that indicate equal lengths. The left triangle has a right angle marked by a small square at the angle. **Answer Section:** **The two triangles are related by:** - (Dropdown menu with options): - can be proven congruent - CANNOT be proven congruent **Additional Notes:** - The problem referenced is "attempt 1 out of 2 / problem 1 out of max 2."
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