https://r2.erweima.ai/mathbot/image/1722089911502rcot91i3.png

What is the congruence correspondence, if any, that will prove the given triangles congruent?


A. AAS
B. SSS
C. SAS
D. ASA

Given the parallelogram \(KWQM\) and the marked sides:

1. \(KW \cong MQ\) (marked by a single tick).
2. \(WK \cong KQ\) (marked by a single tick).
3. \(KM \cong KQ\) (marked by a double tick).

To determine the correct congruence criterion, we need to consider the properties and relationships among the triangles:

### Analysis of the Triangles \( KWK \) and \( KMQ \):

- **Side \( KW \cong MQ \)** (single tick marks).
- **Side \( WK \cong KQ \)** (single tick marks).
- **Side \( KM \cong KQ \)** (double tick marks).

This indicates that we are using three sides of the triangles to establish their congruence.

### Conclusion:
The triangles are congruent by the Side-Side-Side (SSS) criterion.

Thus, the correct answer is:

**B. SSS**

Would you like further details or have any questions?

Here are 5 more questions you might want to ask:
1. How do you prove triangles are congruent using the SAS criterion?
2. What is the definition of a parallelogram and its properties?
3. Can you explain the Angle-Side-Angle (ASA) criterion for triangle congruence?
4. How do you find the area of a parallelogram?
5. What are the properties of congruent triangles?

**Tip:** When identifying congruence between triangles, carefully check for shared sides, angles, and other properties such as parallel lines that might indicate equal angles or sides.

Learn how to prove triangles congruent using the Side-Side-Side (SSS) criterion. This problem involves analyzing given triangle sides and applying the SSS theorem to establish congruence. Suitable for high school students studying geometry and triangle properties.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation