Determine whether rectangle ABCD and the rectangle EFGH are congruent. Rectangle ABCD has vertices point A (1, -5), point B ( 6, -5), point C (6,—1) and point D (1, -1). Rectangle EFGH has vertices point E ( -4,0), point F (0,0), points G (0,5), and point H (-4,5). (1 point)
To determine whether the two rectangles are congruent, we first need to check if their corresponding sides are equal in length and if their corresponding angles are equal.
For rectangle ABCD:
- Length of side AB = 6 - 1 = 5 units
- Length of side BC = 6 - (-1) = 7 units
- Length of side CD = 6 - 1 = 5 units
- Length of side DA = 5 - (-1) = 6 units
For rectangle EFGH:
- Length of side EF = 0 - (-4) = 4 units
- Length of side FG = 5 - 0 = 5 units
- Length of side GH = 0 - (-4) = 4 units
- Length of side HE = 5 - 0 = 5 units
The corresponding sides of the two rectangles are not equal in length, therefore, the rectangles ABCD and EFGH are not congruent.