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
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
![## 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F991836c7-531b-4e79-8f40-10989c7a93eb%2F35fb3e3e-c77d-4fe9-ba51-4ff5a6921da5%2Fgg16d2s_processed.jpeg&w=3840&q=75)
![**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."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F991836c7-531b-4e79-8f40-10989c7a93eb%2F35fb3e3e-c77d-4fe9-ba51-4ff5a6921da5%2Fge4ewxx_processed.jpeg&w=3840&q=75)
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