subject
Mathematics, 27.10.2020 21:10 borgeschristoper694

Use ΔABC to answer the question that follows: Triangle ABC. Point F lies on AB. Point D lies on BC. Point E lies on AC. AD, BE, and CF passes through point G. Line AD passes

Given: ΔABC

Prove: The three medians of ΔABC intersect at a common point.

When written in the correct order, the two-column proof below describes the statements and justifications for proving the three medians of a triangle all intersect in one point:

Statements Justifications
Point F is a midpoint of Line segment AB Point E is a midpoint of Line segment AC Draw Line segment BEDraw Line segment FC by Construction
Point G is the point of intersection between Line segment BE and Line segment FC Intersecting Lines Postulate
Draw Line segment AG by Construction
Point D is the point of intersection between Line segment AG and Line segment BC Intersecting Lines Postulate
Point H lies on Line segment AG such that Line segment AG ≅ Line segment GH by Construction
I BGCH is a parallelogram Properties of a Parallelogram (opposite sides are parallel)
II Line segment FG is parallel to line segment BH and Line segment GE is parallel to line segment HC Midsegment Theorem
III Line segment BD ≅ Line segment DC Properties of a Parallelogram (diagonals bisect each other)
IV Line segment GC is parallel to line segment BH and Line segment BG is parallel to line segment HC Substitution
Line segment AD is a median Definition of a Median
Which is the most logical order of statements and justifications I, II, III, and IV to complete the proof? (4 points)

a
IV, II, III, I

b
II, IV, I, III

c
IV, II, I, III

d
II, IV, III, I

ansver
Answers: 2

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 17:30, jjmo
25 ! the line of best fit is h = 5a + 86. predict the height at age 16.
Answers: 2
image
Mathematics, 21.06.2019 20:00, madisonrosamond99
Guys i need ! graded assignment grade 8 checkpoint 2, part 2 answer the questions below. when you are finished, submit this assignment to your teacher by the due date for full credit. total score: of 9 points (score for question 1: of 4 points) 1. the cost of renting a car for a day is $0.50 per mile plus a $15 flat fee. (a) write an equation to represent this relationship. let x be the number of miles driven and y be the total cost for the day. (b) what does the graph of this equation form on a coordinate plane? explain. (c) what is the slope and the y-intercept of the graph of the relationship? explain.
Answers: 1
image
Mathematics, 21.06.2019 22:30, kacaria
Agroup of randomly selected members of the foodies food club were asked to pick their favorite type of food. the bar graph below shows the results of the survey. there are 244 members in the foodies.
Answers: 3
image
Mathematics, 21.06.2019 23:30, georgesarkes12
Oliver had $50 on the day before his birthday. after he recived some money for his birthday , he had $75. write and solve eqaution to find how much money oliver received for his birthday. x+50=75
Answers: 1
You know the right answer?
Use ΔABC to answer the question that follows: Triangle ABC. Point F lies on AB. Point D lies on BC....

Questions in other subjects:

Konu
Mathematics, 04.11.2020 01:20
Konu
Mathematics, 04.11.2020 01:20
Konu
Mathematics, 04.11.2020 01:20