Question

Kosi traced a rectangle on a coordinate grid. The rectangle had the following vertices: (−6, 5), (2, 5), (2, –1), and (–6, –1). Which of the following numbers are dimensions of the rectangle? Select each correct answer. A. 4 units B. 5 units C. 6 units D. 7 units E. 8 units F. 9 units. help, please!.

Answer 1

Answer:

C) 6 units

E) 8 units

Step-by-step explanation:

Kosi traced a rectangle on a coordinate grid. The rectangle had the following vertices: (−6, 5), (2, 5), (2, –1), and (–6, –1). Which of the following numbers are dimensions of the rectangle? Select each correct answer. A. 4 units B. 5 units C. 6 units D. 7 units E. 8 units F. 9 units. help, please!.

When given vertices for a geometric shapes we find the lengths of the side by using the formula:

When(x1, y1) and (x2, y2)

= √(x2 - x1)² + (y2 - y1)²

A= (−6, 5),B = (2, 5), C = (2, –1), and D = (–6, –1).

For AB

A= (−6, 5),B = (2, 5),

= √(2 -(-6)² + (5 - 5)²

= √8² + 0

= √64

= 8 units

For BC

B = (2, 5), C = (2, –1),.

√(2 - 2)² +(-1 - 5)²

= √0 + -6²

= √36

= 6 units

For CD

C = (2, –1), and D = (–6, –1).

= √(-6 -2)² + (-1 -(-1))²

= √-8² + 0²

= √64

= 8 units

For AD

A= (−6, 5), D = (–6, –1).

= √(-6 -(-6))² + (-1 - 5)²

= √0² + -6²

= √36

= 6 units

Therefore, the following numbers that are dimensions of the rectangle is

C) 6 units

E) 8 units