A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle.
In the figure D is the midpoint of A B ¯ and E is the midpoint of A C ¯ .
So, D E ¯ is a midsegment.
The Triangle Midsegment Theorem
A midsegment connecting two sides of a triangle is parallel to the third side and is half as long.
If A D = D B and A E = E C ,
then D E ¯ ∥ B C ¯ and D E = 1 2 B C .
Find the value of x .
Here P is the midpoint of A B , and Q is the midpoint of B C . So, P Q ¯ is a midsegment.
Therefore by the Triangle Midsegment Theorem,
P Q = 1 2 B C
x = 1 2 ⋅ 6 = 3
The value of x is 3 .
A Level Religious Studies Tutors MTC – Missouri Teacher Certification Tutors CBEST – The California Basic Educational Skills Test Courses & Classes CPE – Certificate of Proficiency in English Test Prep Louisiana Bar Exam Courses & Classes ACT Science Tutors Tax Law Tutors ASPIRE Courses & Classes Liberal Arts Math Tutors CFP Test Prep 3rd Grade Intro to Coding Tutors NPTE – National Physical Therapy Examination Tutors Oklahoma Bar Exam Test Prep Portuguese Tutors Series 32 Courses & Classes CHSPE Test Prep Advanced High School Biology Tutors GACE – Georgia Assessments for the Certification of Educators Courses & Classes SAT Subject Test in Physics Test Prep ASHI – American Society of Home Inspectors Test Prep
Oklahoma City Tutoring Virginia Beach Tutoring Kansas City Tutoring Indianapolis Tutoring Boston Tutoring Louisville Tutoring Philadelphia Tutoring Milwaukee Tutoring Memphis Tutoring St. Louis Tutoring
Spanish Tutors in Atlanta French Tutors in Atlanta LSAT Tutors in Atlanta Statistics Tutors in Atlanta Algebra Tutors in Houston Algebra Tutors in Philadelphia French Tutors in Miami SAT Tutors in Chicago Biology Tutors in Atlanta Computer Science Tutors in New York City
Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC.
You are watching: The of a triangle is a segment that connects
*See complete details for Better Score Guarantee.
Media outlet trademarks are owned by the respective media outlets and are not affiliated with Varsity Tutors.
Award-Winning claim based on CBS Local and Houston Press awards.
Varsity Tutors does not have affiliation with universities mentioned on its website.
Varsity Tutors connects learners with experts. Instructors are independent contractors who tailor their services to each client, using their own style,methods and materials.