Harrington Mcguire
10/28/2023 · Senior High School
Define congruent triangles(SSS criterion) baserve the table given below. Find the re
Upstudy ThothAI Solution
Tutor-Verified Answer
Quick Answer
**Congruent Triangles and the SSS Criterion**
**Definition:**
Two triangles are **congruent** if all their corresponding sides and angles are equal. This means one triangle can be exactly superimposed onto the other through rotations, reflections, or translations.
**SSS Criterion (Side-Side-Side):**
If three sides of one triangle are equal in length to three sides of another triangle, the triangles are congruent. For example, if:
- \( AB = DE \)
- \( BC = EF \)
- \( CA = FD \)
Then, \( \triangle ABC \cong \triangle DEF \) by the SSS Criterion.
**Example:**
Given:
| Triangle \( ABC \) | Triangle \( DEF \) |
|--------------------|--------------------|
| \( AB = 5 \) cm | \( DE = 5 \) cm |
| \( BC = 7 \) cm | \( EF = 7 \) cm |
| \( CA = 9 \) cm | \( FD = 9 \) cm |
Since all corresponding sides are equal, \( \triangle ABC \cong \triangle DEF \) by SSS.
**Finding Missing Information:**
Once congruence is established using SSS, corresponding angles and sides are equal. Use this to find any missing angles or sides.
**Note:**
If you provide a specific table or more details, I can offer a more precise solution.
Step-by-step Solution
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit