Mathematics, 07.11.2020 21:30 rclara34oxbrr9

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 Distance between Two Points Postulate. 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 Distance between Two Points Postulate. 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 definition of parallel lines.

a. The slope of segments DE and AC is not 0.

b. Segments DE and AC are parallel by construction.

c. The coordinates of D and E were found using the Midpoint Formula.

d. The coordinates of D and E were found using the slope formula.

Which statement corrects the flaw in Gina's proof?

Answers: 1

Show answers

Another question on Mathematics

Mathematics, 20.06.2019 18:04

Order the numbers in each list from least to greatest. −4, 1, −6, 2 a. −4, −6, 1, 2 b. −6, −4, 1, 2 c. −6, 2, 1, −4 d. 1, 2, −6, −4me!

Answers: 2

Answer

Mathematics, 21.06.2019 13:30

Based upon past experience, barry expects no overdrafts. he expects no 2nd copies of statements. barry estimates that he will use network atms about 5 times a month with either bank. barry decides in the end to choose eecu. assuming that both banks provide the necessary services equally well, and based upon the tables of fees given above, how much can barry reasonably expect to save annually by choosing eecu in this case over e-town bank? a. $72 b. $78 c. $144 d. $24

Answers: 2

Answer

Mathematics, 21.06.2019 14:30

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

Determine the number of girls in a math class with 87 boys if there are 25 girls for every 75 boys

Answers: 2

Answer

You know the right answer?

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a...

Questions