plot the given points in a coordinate plane. Then determine whether the line segments named are congruent. 1 A(0, 1), B(4, 1), C(1, 2), D(1, 6); line AB and line CD?

Answer 1

we can create a graph with the x-axis representing the horizontal values and the y-axis representing the vertical values.

let's determine whether the line segments AB and CD are congruent.

The length of line segment AB can be calculated using the distance formula:

AB = sqrt((x2 - x1)^2 + (y2 - y1)^2)

For AB(0, 1) and CD(4, 1), the length of AB is:

AB = sqrt((4 - 0)^2 + (1 - 1)^2)

= sqrt(16 + 0)

= sqrt(16)

= 4

For CD(1, 2) and CD(1, 6), the length of CD is:

CD = sqrt((1 - 1)^2 + (6 - 2)^2)

= sqrt(0 + 16)

= sqrt(16)

= 4

Since the length of AB is equal to the length of CD (both are 4 units), we can conclude that line segments AB and CD are congruent.