Question

Task

Answer 1

The slope of segment CD is 7. The length of segment BC is √50 units and the figure is a square.

Explanation:

Part A

Slope of a segment is calculated as the ratio of rise over run

In this case, C (8,3) and D(7,-4)

The slope is m=Δy/Δx

Δy=-4-3=-7

Δx=7-8=-1

m= -7/-1 =7

The slope is positive as seen in the graph for segment CD

Part B

To find length of a segment, the formula to apply is:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2$

Given that B(3,8) and C(8,3) then

x₁=3,x₂=8,y₁=8,y₂=3

substitute values in equation as;

$d=\sqrt{(3-8)^2 +(8-3)^2} \\\\d=\sqrt{(-5)^2+(5)^2} \\\\d=\sqrt{25+25} \\d=\sqrt{50} \\\\\\d=7.07$

The formula used to find length of a segment

Part C

The geometric figure is a Square.The proof is that the length of the segments is equal, √50 units

Lean More

Properties of a square: brainly.com/question/1968511

Keywords : geometric, figure, coordinate, vertices,slope, segment

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