Mathematics
Mathematics, 20.11.2020 20:10, KOAL

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-column proof of the theorem is shown, but the proof is incomplete.

A triangle with vertices A is at 6, 8. B is at 2, 2. C is at 8, 4. Segment DE with point D on side AB and point E is on side BC

Statement Reason
The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula
Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5
Segment DE is half the length of segment AC By substitution
Slope of segment DE is βˆ’2 and slope of segment AC is βˆ’2 By the slope formula
Segment DE is parallel to segment AC Slopes of parallel lines are equal
Which of the following completes the proof?

By the addition property
By the distance formula
By construction
Given

answer
Answers: 3

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 16:00, malibu777
Asquare parking lot has 6,400 square meters what is the length in meters
Answers: 1
image
Mathematics, 21.06.2019 18:30, sidney2602
Consider the function f(x)=-5x+3 what is f(-2)
Answers: 2
image
Mathematics, 21.06.2019 19:00, xoaprilox
Aprojectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t. after how many seconds does the projectile take to reach its maximum height?
Answers: 1
image
Mathematics, 21.06.2019 21:30, juliagearhart9p229te
What is r i 4.5+10r=-6.5 with work pls
Answers: 1
Do you know the correct answer?
Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side...

Questions in other subjects:

Konu
Mathematics, 13.10.2019 00:00
Konu
Mathematics, 13.10.2019 00:00