Help please ... ( 10 points )?

Question

The endpoints of two segments are given. Find each segment length. tell whether the segments are congruent ..

1. AB: A (2,6), B (0,3)

CD: C ( -1,0), D (1,3

can someone show me how to do this problem please

Answer 1

i think you use the distance formula, im not sure but it could be right.  

Answer 2

to find length of segment, find as follows

we have A(2,6) and B(0,3)

so AB=(under root (3-6)^2+(0-2)^2)

=>AB=(under root (9+4) )

=>AB=(under root (13) )

hence length of segment AB is ,

AB= under root 13  (Answer)

( sorry i cannot use under root symbol so  i write under root in place of symbol)

similarly we can find length of CD

CD= under root ((3-0)^2+(1-(-1))^2)

CD= under root (13)  (Answer)

CD= under root (13) (Answer)

Answer 3

A(2, 6) → B(0, 3):

x1 = 2

y1 = 6

x2 = 0

y2 = 3

Δx = x2 - x1

Δx = 0 - 2

Δx = -2

Δy = y2 - y1

Δy = 3 - 6

Δy = -3

L² = Δx² + Δy²

L = √(Δx² + Δy²)

L = √[(-2²) + (-3²)]

L = √(4 + 9)

L = √13

L = 3.61

Sove for slope:

m = Δy / Δx

m = -3 / -2

m = 3/2

¯¯¯¯¯¯¯¯¯¯

C(-1, 0)  ÃƒÂ¢Ã‚†Â’ D(1, 3):

x1 = -1

y1 = 0

x2 = 1

y2 = 3

Δx = x2 - x1

Δx = 1 - (-1)

Δx = 2

Δy = y2 - y1

Δy = 3 - 0

Δy = 3

L = √(Δx² + Δy²)

L =  ÃƒÂ¢Ã‚ˆÂš[(1 + 1)² + 3²]

L = √(4 + 9)

L = √13

L = 3.61

m = Δy / Δx

m = 3/2

Their lengths and slopes are the same. Therefore, they are congruent.