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
