Question

help me

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side:

Given: ΔABC

Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC.

Draw ΔABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Point D is the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2. The quantity 0 plus y sub 1, divided by 2

Answer 1

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side:

Given: ΔABC

Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC.

Draw ΔABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Point D is the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2. The quantity 0 plus y sub 1, divided by 2 by the Midpoint Formula. Point E is the midpoint of Line segment BC with coordinates of Ordered pair the quantity x sub 1 plus x sub 2, divided by 2. The quantity 0 plus y sub 1, divided by 2 by the Midpoint Formula. The slope of Line segment DE is found to be 0 through the application of the slope formula: The difference of y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of the quantity 0 plus y sub 1, divided by 2, and the quantity 0 plus y sub 1, divided by 2, divided by the difference of the quantity x sub 1 plus x sub 2, divided by 2 and the quantity 0 plus x sub 1, divided by 2 is equal to 0 divided by the quantity x sub 2 divided by 2 is equal to 0 When the slope formula is applied to Line segment AC the difference between y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of 0 and 0, divided by the difference of x sub 2 and 0 is equal to 0 divided by x sub 2 is equal to 0, its slope is also 0. Since the slope of Line segment DE and Line segment AC are identical, Line segment DE and Line segment AC are parallel by the Parallel Postulate.

Which statement corrects the flaw in Gina's proof?

The coordinates of D and E were found using the slope formula.
Segments DE and AC are parallel by definition of parallel lines.
The coordinates of D and E were found using the Distance between Two Points Postulate
The slope of segments DE and AC is not 0.

Answer 2

Okay, I have the answer for the first one. But I'll only answer yours if you answer mine

Answer 3

deal

Answer 4

I sent a message

Answer 5

really

Answer 6

what?

Answer 7

a video

Answer 8

oh wait

Answer 9

yeah...

Answer 10

ow

Answer 11

in a high pitch voice

Answer 12

a c sharp

Answer 13

why did she say ow

Answer 14

she got kicked

Answer 15

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side:

Given: ΔABC

Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC.

Draw ΔABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Point D is the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2. The quantity 0 plus y sub 1, divided by 2 by the Midpoint Formula. Point E is the midpoint of Line segment BC with coordinates of Ordered pair the quantity x sub 1 plus x sub 2, divided by 2. The quantity 0 plus y sub 1, divided by 2 by the Midpoint Formula. The slope of Line segment DE is found to be 0 through the application of the slope formula: The difference of y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of the quantity 0 plus y sub 1, divided by 2, and the quantity 0 plus y sub 1, divided by 2, divided by the difference of the quantity x sub 1 plus x sub 2, divided by 2 and the quantity 0 plus x sub 1, divided by 2 is equal to 0 divided by the quantity x sub 2 divided by 2 is equal to 0 When the slope formula is applied to Line segment AC the difference between y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of 0 and 0, divided by the difference of x sub 2 and 0 is equal to 0 divided by x sub 2 is equal to 0, its slope is also 0. Since the slope of Line segment DE and Line segment AC are identical, Line segment DE and Line segment AC are parallel by the Parallel Postulate.

Which statement corrects the flaw in Gina's proof?

The coordinates of D and E were found using the slope formula.
Segments DE and AC are parallel by definition of parallel lines.
The coordinates of D and E were found using the Distance between Two Points Postulate
The slope of segments DE and AC is not 0.

Answer 16

now u

Answer 17

Okay

Answer 18

It is a simple and fun geometrical problem, and it makes all sense until:

"The slope of Line segment DE is found to be 0 through the application of the slope formula:"

After that it gets all confusing etc. The slope formula applied to DE is simply:
(difference between the y coordinates) divided by (difference of the x coordinates).
In this case, by construction, D and E have the same y coordinate equal to y1 / 2.
Therefore the slope is zero.