PLEASE HELP!! SHOW ALL WORK FOR BRAINLIEST Quadrilateral EFGH has vertices at E(10,4), F(16,4), G(16,10) and H(10,10). Based on the properties of the diagonals, is quadrilateral EFGH a rectangle, a rhombus, or a square?? Use the distance and slope formula to prove your conclusion. Must show all work please.

It is a square because all the sides are equal

Step-by-step explanation:

PLEASE HELP!! SHOW ALL WORK FOR BRAINLIEST

Quadrilateral EFGH has vertices at E(10,4), F(16,4), G(16,10) and H(10,10). Based on the properties of the diagonals, is quadrilateral EFGH a rectangle, a rhombus, or a square?? Use the distance and slope formula to prove your conclusion. Must show all work, please

Using the distance formula

√(x2 - x1)² + (y2 - y1)²

When given vertices x1, y1, and x2, y2

We find the length of each side

For E(10,4), F(16,4)

√(16 - 10)² + (4 - 4)²

= √6²

= √36

= 6 units

F(16,4), G(16,10)

= √(16 - 16)² + (10 - 4)²

= √6²

= √36

= 6 units

G(16,10) and H(10,10)

= √(10 - 16)² + (10 - 10)²

= √-6²

= √36

= 6 units

E(10,4), and H(10,10)

It is a square because all the sides are equal

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step-by-step explanation:

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