Answered

IDNLearn.com is committed to providing high-quality answers to your questions. Our experts provide timely, comprehensive responses to ensure you have the information you need.

Select the correct answer.

Which set of vertices forms a parallelogram?

A. [tex]\( A(2,4), B(3,3), C(6,4), D(5,6) \)[/tex]

B. [tex]\( A(-1,1), B(2,4), C(5,1), D(4,1) \)[/tex]

C. [tex]\( A(-5,-2), B(-3,3), C(3,5), D(1,0) \)[/tex]

D. [tex]\( A(-1,2), B(1,3), C(5,3), D(1,1) \)[/tex]

Sagot :

GinnyAnsweridn
Let's analyze each set of vertices step by step to determine which set forms a parallelogram.

### Option A: [tex]\((2,4), (3,3), (6,4), (5,6)\)[/tex]
- This set does not form a parallelogram because the opposite sides are neither parallel nor equal in length.

### Option B: [tex]\((2,3), (5,1), (4,1)\)[/tex]
- This set does not have enough vertices to form a parallelogram. A parallelogram must be defined by exactly four vertices.

### Option C: [tex]\((-5,-2), (-3,3), (3,5), (1,0)\)[/tex]
- This set does form a parallelogram. The opposite sides are parallel and equal in length.

### Option D: [tex]\((-1,2), (1,3), (5,3), (1,1)\)[/tex]
- This set does not form a parallelogram because the opposite sides are neither parallel nor equal in length.

Thus, the correct answer is:

C. [tex]\((-5,-2), (-3,3), (3,5), (1,0)\)[/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.