Question

I need the answers to this please

Answer 1

18) 13

19) 5/12

20) (6, 2.5)

21) 10

22) -4/3

23) (3, 4)

24) Not congruent.

Explanation:

18) Length → distance formula:
`√((15-3)^2 + (13-8)^2) = √(12^2+5^2) = √(144+25) = √(169) = 13`
Length of AC is 13.

19) Slope

`m=(13-8)/(15-3) = (5)/(12)`
The slope of AC is 5/12.

20) Midpoint

`((15-3)/(2), (13-8)/(2)) = (6, 2.5)`

Midpoint of AC is (6, 2.5).

21)
`√((5-13)^2+(13.5-7.5)^2) = √((-8)^2+6^2) = √(64+36) =√(100) = 10`

Length of BD is 10.

22) Slope

`m = (5-13)/(13.5-7.5) =(-8)/(6) = -(4)/(3)`

Slope of BD is -4/3.

23) Midpoint

`((13.5-7.5)/(2), (5-13)/(2) ) = (3, 4)`

Midpoint of BD is (3, 4).

24) Are the diagonals congruent? No; they are not congruent because their lengths are not equal. (13 ≠ 10)