Question

HELPPPPPPPPPPPPPPP RATE 5 STARSS

Answer 1

13. c,

14. a.

Explanation:

13. The length of a side PQ with coordinates of

P as (x,y) and Q as (w,z)

is:
`\sqrt{(x-w)^(2) +(y-z)^(2) }`

• so, the length of the side AB =

`\sqrt{(5-5)^(2)+(-2+7)^(2)  } =\sqrt{0^(2)+5^(2)  } =5`

• the length of side BC =

`\sqrt{(5-1)^(2)+(-7+2)^(2)  } =\sqrt{(4)^(2)+(-5)^(2)  } =\sqrt{4^(2)+5^(2)  }`

• the length of side AC=

`\sqrt{(5-1)^(2) +(-2+2)^(2) } =\sqrt{4^(2) } =4`

now, the easiest one will be when the vertices are on the coordinate axes.

• so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

• here, the alternate interior angles are angle1 and angle4.

• therefore to prove this step, he used parallel postulate as a reason.

• so, the correct option is "a"