SOLUTION: The vertices of rectangle ABCD on a coordinate grid are A(2, 6), B(2, 7), C(8, 7) and D(8, 6). Which of these rectangles is congruent to rectangle ABCD? Rectangle with verti

Question 651538: The vertices of rectangle ABCD on a coordinate grid are A(2, 6), B(2, 7), C(8, 7) and D(8, 6).

Which of these rectangles is congruent to rectangle ABCD?
Rectangle with vertices at (-3,2) (-2, 2), (-2, -3) , (-3, -3)
Rectangle with vertices at (-1, -7), (-1, -6), (5, -6) , (5, -7)
Rectangle with vertices at (7, -2), (9, -2), (9, 3) , (7, 3)
Rectangle with vertices at (-8, 5), (-2, 5), (-2, 7) , (-8, 7)

I tried to work it on my own but i compleletly forgot how to?

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
answer is: Rectangle with vertices at (-1, -7), (-1, -6), (5, -6) , (5, -7)
here are the lengths of its sides:
(-1, -7), (-1, -6),

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

(5, -6) , (5, -7)

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

(-1, -6), (5, -6)

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

(-1, -7), (5, -7)

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

here are the lengths of sides of rectangle ABCD on a coordinate grid are A(2, 6), B(2, 7), C(8, 7) and D(8, 6):

A(2, 6), B(2, 7), :

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

C(8, 7) and D(8, 6)

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

A(2, 6),C(8, 7)

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

B(2, 7),D(8, 6)

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

you can prove this way that all other rectangles are not congruent to ABCD

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